Relation and Negation in Indian Philosophy

Relation and Negation in Indian Philosophy

Key Terms

  • Para consistent logic
  • Non-classical logic
  • Paradoxes
  • Contradictions
  • Catuskoti
  • Saptabhangi
  • Tetralemma
  • Trilemma
  • Dilemma
  • Buddhist logic
  • Unanswerable questions
  • Nagarjuna
  • Mula madhya maka karika
  • Truth predicate
  • Para consistency
  • First Degree Entailment
  • Many-valued logic
  • Relational semantics
  • Nyaya
  • Navya Nyaya
  • Neti Neti
  • Logic
  • Indian Philosophy
  • Hindu Logic
  • Jaina Logic
  • Principle of the Excluded Fifth
  • Principle of the Excluded Third
  • Nasidya Sukta
  • Relation
  • Negation

Researchers

  • Kalidas Bhattacharyya
  • Purushottama Bilimoria
  • Matilal, Bimal Krishna
  • Satis Chandra Vidyabhusana
  • George Bosworth Burch
  • Graham Priest
  • J. F. Staal
  • Westerhoff, Jan
  • Gunaratne, R. D.
  • Rahlwes, Chris
  • Ruegg, D.S.

A History of Indian Logic (ancient, Mediæval and Modern Schools.)

Source: A History of Indian Logic (ancient, Mediæval and Modern Schools.)

Source: A History of Indian Logic (ancient, Mediæval and Modern Schools.)

Source: A History of Indian Logic (ancient, Mediæval and Modern Schools.)

Source: A History of Indian Logic (ancient, Mediæval and Modern Schools.)

Relation in Indian Philosophy

Source: The Problem of Relation in Indian Philosophy

Source: The Problem of Relation in Indian Philosophy

Source: The Problem of Relation in Indian Philosophy

Source: The Problem of Relation in Indian Philosophy

Source: The Problem of Relation in Indian Philosophy

Source: The Problem of Relation in Indian Philosophy

Source: The Problem of Relation in Indian Philosophy

Source: The Problem of Relation in Indian Philosophy

Source: The Problem of Relation in Indian Philosophy

Source: The Problem of Relation in Indian Philosophy

Source: The Problem of Relation in Indian Philosophy

Source: The Problem of Relation in Indian Philosophy

Source: The Problem of Relation in Indian Philosophy

Source: The Problem of Relation in Indian Philosophy

Negation and Negative Facts in Western and Indian Logic

Source: Negation and Negative Facts in Western and Indian Logic

Source: Negation and Negative Facts in Western and Indian Logic

Source: Negation and Negative Facts in Western and Indian Logic

Source: Negation and Negative Facts in Western and Indian Logic

Source: Negation and Negative Facts in Western and Indian Logic

Source: Negation and Negative Facts in Western and Indian Logic

Source: Negation and Negative Facts in Western and Indian Logic

Source: Negation and Negative Facts in Western and Indian Logic

Source: Negation and Negative Facts in Western and Indian Logic

Source: Negation and Negative Facts in Western and Indian Logic

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Key Sources of Research

Nāgārjuna, Śaṅkara, Krishnamurti: Negation as a Spiritual Exercise.

Tubali, S. (2023).

In: The Transformative Philosophical Dialogue. Sophia Studies in Cross-cultural Philosophy of Traditions and Cultures,

vol 41. Springer, Cham. https://doi.org/10.1007/978-3-031-40074-2_11

https://link.springer.com/chapter/10.1007/978-3-031-40074-2_11

Abstract

To gain a deeper insight into the role that negation played in the Krishnamurti dialogue, I compare it to two well-researched negation-based philosophies. The first is Nāgārjuna’s Buddhist philosophy of the ‘middle way’ (madhyamaka), in particular his most prominent work The Fundamental Wisdom of the Middle Way (Mūlamadhyamakakārikā). The second is the eighth-century Śaṅkara’s Hindu system of Advaita Vedānta, mainly his commentary on the Bṛhadāraṇyaka Upaniṣad and his independent work A Thousand Teachings(Upadeśasāhasrī). I start by introducing the Buddha’s imponderables and the way that Nāgārjuna developed these segments of the Buddha’s Dharma into the system of the middle way (madhyamaka). In this section, I demonstrate the transformative nature of this system, based on the original text as well as scholarly sources. The next section is dedicated to the presentation of Śaṅkara’s Advaita Vedānta as a negative philosophy and to the ways in which his method corresponds to and stands in contrast to Nāgārjuna’s negation. Finally, I highlight the uniqueness of Krishnamurti’s dialectical negation: while the two classical paragons of the negative approach practised by Nāgārjuna and Śaṅkara are tools for the elimination of metaphysical views and epistemological approaches, Krishnamurti’s is a psychological and post-traditional negation whose aim is to do away with past, knowledge, and authority. More generally, I argue that, as a feature of the transformative dialogue, negation is a spiritual exercise that prepares for a particular experience and facilitates it: the discussant’s ability to perceive reality with naked eyes and a bare mind.

Notes
  1. I shall return to Sañjaya’s form of negation in the following section.
  2. It is worth mentioning that the scriptures that inspired Nāgārjuna’s and Śaṅkara’s practices of negation – the Buddha’s Dharma talks in the Pāli Canon and the Bṛhadāraṇyaka Upaniṣad, as well as a significant number of other Upaniṣads – had also been largely narrated in the explicit form of a dialogue.
  3. This reading of the text is supported by Nāgārjuna scholars such as Jay L. Garfield (for example, 1995: 209; Garfield and Priest 2003: 11).
  4. For a contrary view, see Raju (1954: 703), who perceives Nāgārjuna’s and Śaṅkara’s negation (particularly, their use of four-cornered negation) as ‘a principle expressive of ultimate reality’.
  5. See, for instance, the debate between Stafford L. Betty (1983: 123–138, 1984: 447–450) and David Loy (1984: 437–445).
  6. In Śaṅkara’s case, as I will show in the second section, all metaphysical claims but one.
  7. However, the logical gulf separating Indian thought from Western logical traditions seems to be gradually being bridged as a result of efforts initially made by twentieth-century Western philosophers in response to logical paradoxes. Two important developments have been the emergence of paraconsistent logic, which accommodates inconsistency in a controlled way, viewing inconsistent information as potentially informative, and the subsequent modern form of dialetheism (“two-way truth”), which transcends the law of non-contradiction by maintaining that there are indeed true contradictions (Priest et al. 2022ab).
  8. We know of Sañjaya only through early Buddhist literature which refers to him critically (Jayatilleke 1963: 135).
  9. Jayatilleke (ibid., 138) maintains that this formula was not only Sañjaya’s, but was shared by all classical Indian sceptical schools of thought.
  10. The Brahmajāla Sutta contains a thorough negation of sixty-two views that prevailed among recluses in the time of the Buddha.
  11. Or ‘eel-wrigglers’, a term which should be understood as either denoting verbal jugglery or as an analogy that likens sceptics to eels that constantly squirm about in the water and are difficult to get hold of (Jayatilleke 1963: 122).
  12. .Jones (2016: 13) convincingly unveils the reasoning behind the Buddha’s strategy of negation in the Vacchagotta dialogue.
  13. This brings us back to negation as a practice among mystics who tend to defend their experiences as ‘ineffable’. Blackwood (1963: 202–206) suggests that it is not that mystics argue that all descriptive statements are false, but rather that all descriptive statements are ‘inapplicable or inappropriate’ when it comes to their transcendent realizations. Thus, mystics simply disregard syntactic and logical rules, such as the law of non-contradiction, which are only relevant as long as one wishes to ‘make learning possible’ (ibid., 207–209).
  14. See also Ganeri’s (2013a: 51–53) useful point that the Buddha’s negation in the Vacchagotta dialogue was not to keep secret knowledge in his fist but to ensure that he would not impart knowledge that is unnecessary and therefore ultimately harmful. Thus, using negation he could challenge the premise of the question itself (ibid. 53).
  15. Nāgārjuna clearly deems the refutation of all views the centrepiece of the Buddha’s Dharma, since he concludes his work by praising Gautama Buddha for teaching the ‘true doctrine which leads to the relinquishing of all views’ (XXVII: 30).
  16. In this sense, the Mūlamadhyamakakārikā is in line with the general tendency of some forms of Indian and Buddhist debate to value reasoning and argumentation not only for their truth-preserving and truth-validating properties, but also for their ability to promote truth (Ganeri 2013a: 125).
  17. With the word ‘trans-logical’ I also indicate that contrary to Betty’s qualm (1984: 448), the ladder of logic is not a mere apparatus that one ought to kick out from beneath oneself after climbing up it, but a form of discriminating wisdom on which one builds.
  18. This is stated cautiously, since certain forms of South Asian argumentation, including four-cornered negation and Nāgārjuna’s use of it, can help Western thought to accept other forms of logic and thus to arrive at broader logical formulas.
  19. In the collective memory of mainstream Hinduism, Śaṅkara is honoured as a philosopher-saint whose efforts to give a coherent structure to disparate Hindu beliefs and practices have safeguarded Hinduism from the challenges posed by the rise of Buddhism (Shearer 2017: xiii). There are also substantial examples of criticism of Buddhist views in Śaṅkara’s works (e.g. Brahmasūtrabhāṣya II.2.18–32).
  20. Shearer (2017: xxiii) considers Śaṅkara’s employment of relentless reasoning, logic, and dialectic a part of his methodological toolkit (upāya, or useful means), which is only utilized to either defend or advance the radical cognitive insight (jñāna) which lies at the core of the Advaitin perspective of non-dualism. Thus, Shearer concludes, Śaṅkara is not a philosopher since he does not maintain a consistent conceptual position and does not believe that truth can be proven or brought about by any of these methodological tools (ibid.). This brings us back to the concept of transformative philosophers.
  21. Raju (1954: 704), who contrasts Śaṅkara’s negation with that of Nāgārjuna, mentions that while śūnya in Sanskrit means both the mathematical and metaphysical zero, another word employed by the Sanskrit writers to describe the mathematical zero is Pūrṇa, which means the full rather than the empty.
  22. Raju (1954: 709–710) effectively classifies Nāgārjuna’s conception of fourfold negation as ‘metaphysical relativism’ and Śaṅkara’s negation as ‘metaphysical absolutism and phenomenal relativism’.
  23. For a supportive view, see King (1957: 112–113), who concludes that Nāgārjuna’s outer scepticism is intended to serve his inner truth.
  24. Since Krishnamurti is not as philosophically coherent as Nāgārjuna and Śaṅkara, this should be stated with reservation: while his dialogical negation generally avoids affirmative assertions about the ultimate truth, Krishnamurti’s diaries, biographies, and public discourses include numerous contradictory descriptions of the nature of the already existing reality (see Chap. 8).
  25. This distinction will be elaborated on in the concluding chapter.
  26. Nevertheless, Krishnamurti mainly abandoned this structure only in his close group discussions and one-on-one conversations. His public discourse generally retained the traditional guru–student dialogue.
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Thinking Negation in Early Hinduism and Classical Indian Philosophy. 

Bilimoria, P.

Log. Univers. 11, 13–33 (2017). https://doi.org/10.1007/s11787-017-0161-8

https://link.springer.com/article/10.1007/s11787-017-0161-8

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Silence and Contradiction in the Jaina Saptabhaṅgī 

Draft Version
Forthcoming in Journal of Indian Philosophy

Chris Rahlwes

“The Problem of ‘Negation’ in Indian Philosophy.”

Tripathi, Chhote Lal.

East and West 27, no. 1/4 (1977): 345–55. http://www.jstor.org/stable/29756390.

Negation and Negative Facts in Western and Indian Logic

NS Dravid

Nagpur

Click to access 22-3-2.pdf

The Navya-Nyaya Doctrine of Negation

The Semantics and Ontology of Negative Statements in Navya-Nyaya Philosophy

Bimal Krishnal Matilal

ISBN 9780674606500
Publication date: 01/01/1968

DAYA KRISHNA ON SOME INDIAN THEORIES OF NEGATION: A CRITIQUE

Sen, Prabal Kumar
Philosophy east & west, 2013-10, Vol.63 (4), p.543-561

The Splendour of Negation: R. S. Bhatnagar Revisited with a Buddhist Tinge.

Sebastian CD.

J. Indian Counc. Philos. Res. 2020;37(3):343–60. doi: 10.1007/s40961-020-00214-6. Epub 2020 Jul 25. PMCID: PMC7382565.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7382565/

The Principle of Four-Cornered Negation in Indian Philosophy.

Raju, P. T. (1954).

Review of Metaphysics 7 (4):694 – 713.

https://philpapers.org/rec/RAJTPO-2

Semantics of Nothingness: Bhartrhari’s Philosophy of Negation – I

Sthaneshwar Timalsina

sthaneshwar.timalsina@ifrc.in’

The linguistic philosophy of Bhartrhari needs to be addressed in his milieu. His speculations about the nature of language and his analysis of Sanskrit both transcend the boundaries of language and relate to metaphysics, epistemology, and ontology.
Indology | 14-12-2017

https://indiafacts.org/semantics-nothingness-bhartrharis-philosophy-negation-1/

Semantics of Nothingness: Bhartrhari’s Philosophy of Negation – II

Semantics of Nothingness: Bhartrhari’s Philosophy of Negation – II

“Indian Tradition and Negation.”

Upadhyaya, K. N.

Philosophy East and West 38, no. 3 (1988): 281–89. https://doi.org/10.2307/1398867.

ON THE CONCEPTS OF RELATION AND NEGATION IN INDIAN PHILOSOPHY 

by Kalidas Bhattacharya (Author)

(Calcutta Sanskrit College research series ; no. 109) 

Unknown Binding – January 1, 1977

https://darshanmanisha.org/publications/on-the-concepts-of-relation-and-negation-in-indian-philosophy/embed#?secret=EqbvEWUYqV#?secret=Q2FFjN6zJK

‘Negation: Can Philosophy Ever Recover from it?’, 

Bhushan, Nalini, Jay L. Garfield, and Daniel Raveh (eds), 

in Nalini Bhushan, Jay L. Garfield, and Daniel Raveh (eds), Contrary Thinking: Selected Essays of Daya Krishna (New York, 2011; online edn, Oxford Academic, 27 May 2015), https://doi.org/10.1093/acprof:osobl/9780199795550.003.0010, accessed 17 May 2024.

NAGARJUNA’S REASONING WITH NON-IMPLICATIVE NEGATIONS

SAROJ KANTA KAR

THREE ABSOLUTES AND FOUR TYPES OF NEGATION
INTEGRATING KRISHNACHANDRA BHATTACHARYYA’S INSIGHTS?

By Stephen Kaplan
Book
The Making of Contemporary Indian Philosophy
Edition 1st Edition
First Published 2023
Imprint Routledge
Pages 14
eBook ISBN 9781003153320

STUDY ON FOUR LOGICAL ALTERNATIVES (CATUṢKOṬI AND CATUṢKOṬI-VINIRMUKTA) IN INDIAN MĀDHYAMIKA SCHOOL

sherry shi

https://www.academia.edu/42911366/Study_on_Four_Logical_Alternatives_catuṣkoṭi_and_catuṣkoṭi_vinirmukta_in_Indian_Mādhyamika_School

THE NAVYA-NYĀYA DOCTRINE OF NEGATION. BY BIMAL K. MATILAL. 

Cambridge: Harvard University Press; 

Canada: Saunders of Toronto, Ltd. 1968. Pp. xi, 208

Cyril Welch

ABHAVA : NEGATION IN LOGIC, REAL NON-EXISTENT, AND A DISTINCTIVE PRAMANA IN THE MIMAMSA

Purushottama Bilimoria PhD
2008, Logic Navya Nyaya and Applications Homage to Bimak Krishna Matilal

THINKING NEGATION IN EARLY HINDUISM AND CLASSICAL INDIAN PHILOSOPHY

Purushottama Bilimoria PhD


https://doi.org/10.1007/s11787-017-0161-8
Publication Date: 2017
Publication Name: Logica Universalis

https://www.researchgate.net/publication/313941478_Thinking_Negation_in_Early_Hinduism_and_Classical_Indian_Philosophy

https://link.springer.com/article/10.1007/s11787-017-0161-8

NEGATION AND THE LAW OF CONTRADICTION IN INDIAN THOUGHT: A COMPARATIVE STUDY

Published online by Cambridge University Press: 24 December 2009

J. F. Staal

https://www.cambridge.org/core/journals/bulletin-of-the-school-of-oriental-and-african-studies/article/abs/negation-and-the-law-of-contradiction-in-indian-thought-a-comparative-study/949A3A5C169D71859EF3440FA5A84D04

PART 19 – NEGATION IN NYĀYA-VAIŚEṢIKA

https://www.wisdomlib.org/hinduism/book/a-history-of-indian-philosophy-volume-1/d/doc209826.html

BASHAM, KOSAMBI, AND THE NEGATION OF NEGATION

Ramkrishna Bhattacharya

https://www.academia.edu/11965736/Basham_Kosambi_and_the_Negation_of_Negation

Negation in Indian Philosophy

Encyclopedia

https://www.encyclopedia.com/humanities/encyclopedias-almanacs-transcripts-and-maps/negation-indian-philosophy

Negative facts in classical Indian philosophy

DOI 10.4324/9780415249126-F049-1

Article Summary

Like their European counterparts, the philosophers of classical India were interested in the problem of negative facts. A negative fact may be thought of, at the outset at least, as a state of affairs that corresponds to a negative statement, such as ‘Mr Smith is not in this room.’ The question that perplexed the philosophers of India was: How does someone, say Ms Jones, know that Mr Smith is not in the room? There are essentially four possible metaphysical positions to account for what it is that Ms Jones knows when, after entering a room, she comes to know that her friend is not present there. Each of the positions has been adopted and defended by certain classical Indian philosophers. On the one hand, some take the absence of the friend from the room as a brute, negative fact. Of these, some hold knowledge of this fact to be perceptual, while others hold it to be inferential. On the other hand, some hold that the absence of the friend from the room has no real ontic status at all, and believe that what there really is in the situation is just the sum of all the things present in the office. These latter philosophers hold that knowledge of one’s friend’s absence is just knowledge of what is present, though some believe the knowledge results from perception, while others believe it to result from inference. These four positions were maintained by, respectively, the Nyāya philosopher Jayanta, the Mīmāṃsā philosophers Kumārila Bhaṭṭa and Prabhākara, and the Buddhist Dharmakīrti.

The Negation of Self in Indian Buddhist Philosophy

Sean M. Smith
University of Hawai‘i at Mānoa

https://quod.lib.umich.edu/cgi/p/pod/dod-idx/negation-of-self-in-indian-buddhist-philosophy.pdf?c=phimp;idno=3521354.0021.013;format=pdf

Logic in Classical Indian Philosophy

SEP

https://plato.stanford.edu/entries/logic-india/

Nāgārjuna’s Negation. 

Rahlwes, C.

J Indian Philos 50, 307–344 (2022).

https://doi.org/10.1007/s10781-022-09505-5

https://link.springer.com/article/10.1007/s10781-022-09505-5

Abstract

The logical analysis of Nāgārjuna’s (c. 200 CE) catuṣkoṭi (tetralemma or four-corners) has remained a heated topic for logicians in Western academia for nearly a century. At the heart of the catuṣkoṭi, the four corners’ formalization typically appears as: A, Not A (¬A), Both (A &¬A), and Neither (¬[A∨¬A]). The pulse of the controversy is the repetition of negations (¬) in the catuṣkoṭi. Westerhoff argues that Nāgārjuna in the Mūlamadhyamakakārikā uses two different negations: paryudāsa (nominal or implicative negation) and prasajya-pratiṣedha (verbal or non-implicative negation). This paper builds off Westerhoff’s account and presents some subtleties of Nāgārjuna’s use of these negations regarding their scope. This is achieved through an analysis of the Sanskrit and Tibetan Madhyamaka commentarial tradition and through a grammatical analysis of Nāgārjuna’s use of na (not) and a(n)- (non-) within a diverse variety of the catuṣkoṭi within the Mūlamadhyamakakārikā.

Nāgārjuna’s Catuṣkoṭi. 

Westerhoff, J. (2006).

Journal of Indian Philosophy, 34, 367–395.

Immediate Negation. 

Kreutz, A. (2021).

History and Philosophy of Logic42(4), 398–410. https://doi.org/10.1080/01445340.2021.1928851

https://www.tandfonline.com/doi/full/10.1080/01445340.2021.1928851

What happened to the third and fourth lemmas in tibet? 

Tillemans, T. (2015).

Journal of Buddhist Philosophy, 1, 24–38.

The uses of the four positions of the “Catuṣkoṭi” and the problem of the description of reality in Mahāyāna Buddhism. 

Ruegg, D. S. (1977).

Journal of Indian Philosophy, 5(1/2), 1–71.

The Navya-Nyāya Doctrine of Negation: The Semantics and Ontology of Negative Statements in Navya-Nyāya Philosophy.

Copi, Irving M. (1972).

Philosophy East and West 22 (2):221-226.

https://philarchive.org/rec/MATTND-2

Negation in Intuitionistic Logic and Navya Nyaya

BANI SENGUPTA
PUBLISHER: RADHA PUBLICATIONS, DELHI
LANGUAGE: ENGLISH
EDITION: 2001
ISBN: 9788174872104
PAGES: 124

https://www.exoticindiaart.com/book/details/negation-in-intuitionistic-logic-and-navya-nyaya-uah154/

RECAPTURE, TRANSPARENCY, NEGATION AND A LOGIC FOR THE CATUSKOTI

ADRIAN KREUTZ

Comparative Philosophy Volume 10, No. 1 (2019): 67-92
Open Access / ISSN 2151-6014 / http://www.comparativephilosophy.org https://doi.org/10.31979/2151-6014(2019).100108

‘The Role of Negation in Nāgārjuna’s Arguments’, 

Westerhoff, Jan, 

Nagarjuna’s Madhyamaka: A Philosophical Introduction (New York, 2009; online edn, Oxford Academic, 1 May 2009), https://doi.org/10.1093/acprof:oso/9780195375213.003.0003, accessed 17 May 2024.

https://academic.oup.com/book/9039/chapter-abstract/155552008?redirectedFrom=fulltext

Paradox and Negation in the Upanishads, Buddhism and the Advaita Vedanta of Sankaracarya (India)

Thompson, Heather.   California Institute of Integral Studies 

ProQuest Dissertations Publishing,  1982. 8400050.

Negation

SEP

https://plato.stanford.edu/entries/negation/

Contradiction, Negation, and the Catuṣkoṭi: Just Several Passages from Dharmapāla’s Commentary on Āryadeva’s Catuḥśataka

Chih-chiang Hu
https://doi.org/10.1007/s10781-023-09554-4

Three kinds of affirmation and two kinds of negation in Buddhist philosophy. 

Kajiyama, Y. (1973).

Wiener Zeitschrift Für Die Kunde Südaisiens Und Archiv Für Indische Philosophie,17, 161–174.

The Mādhyamika “Catuṣkoṭi” or Tetralemma. 

Chakravarti, S. S., & Chakrabarti, S. S. (1980).

Journal of Indian Philosophy, 8(3), 303–306.

The use of four-cornered negation and the denial of the law of excluded middle in Nāgārjuna’s logic.

Mohanta, D. (2010).

In A. Schumann’s (Ed.), Logic in religious discourse(pp. 44–53). Berlin: De Gruyter.

The logic of The Catuskoti.

Priest, G. (2010).

 Comparative Philosophy, 1(2), 24–54.Google Scholar 

None of the above: The Catuṣkoṭi in Indian Buddhist logic.

Priest, G. (2015).

In M. C. Jean-Yves Beziau, and Some Dutta (Eds.), New direction in paraconsistent logic (pp. 517–527).London: Springer.

OBJECT CONTENT AND RELATION

Publication Category Philosophers of Modern India
Publication Author Kalidas Bhattacharyya
Publication Language English
Publisher Name Das Gupta & Co.Ltd.
Publication Place Calcutta
No. of Pages 167

https://darshanmanisha.org/publications/object-content-and-relation/embed#?secret=DLwuy56Nmo#?secret=KOcnumHL02

This book by Kalidas Bhattacharyya considers the relation between Consciousness and it’s Object. Once we ask the question “Is there anything intermediate between consciousness and object?”, we come up with the answer “Content”. Now, what is this Content and is there such an intermediate thing between Consciousness and Object? This is a question that needs to be answered. This book explores the relationship between Objects and Consciousness via the idea of Content. The book is divided into two chapters. This first chapter is on “Object and Content”. The second is on “Relation”. The first chapter deals with:

  • Analysis of Thought and Memory
  • Analysis of Perception: Idealism and Realism
  • Analysis of Perception – Illusion as to Judgment
  • Some Theories of Illusion Examined
  • Content and Object as Alternatives
  • Criterion of Reality
  • Real and Non-Real Appearances

The second chapter deals with

  • The Notion of Relation
  • Classification of Relations
  • The So-called Puzzles of Relation
  • Relation – Is it Subjective, Objective or Dialectical?
  • External and Internal Relation
  • Some Theories of Relation

Two Indian dialectical logics: saptabhangi and catuskoti.

Schang, Fabien (2010).

Journal of the Indian Council of Philosophical Research 27 (1):45-75.

https://philarchive.org/rec/SCHTID-9

None of the Above: The Catuṣkoṭi in Indian Buddhist Logic.

Authors: Graham Priest

In book: New Directions in Paraconsistent Logic (pp.517-527)
January 2015

DOI:10.1007/978-81-322-2719-9_24

https://www.springerprofessional.de/en/none-of-the-above-the-catuskoti-in-indian-buddhist-logic/7456120

https://www.researchgate.net/publication/297713276_None_of_the_Above_The_Catuskoti_in_Indian_Buddhist_Logic

https://www.semanticscholar.org/paper/None-of-the-Above%3A-The-Catuṣkoṭi-in-Indian-Buddhist-Priest/e441318845b51b12ddddc060d3064d943b48dc42

The uses of the four positions of the Catuskoti and the problem of the description of reality in Mahāyāna Buddhism.

Ruegg, D. Seyfort (1977).

Journal of Indian Philosophy 5 (1-2):1-71.

Nāgārjuna’s Negation.

Rahlwes, Chris (2022).

Journal of Indian Philosophy 50 (2):307-344.

A Grammarian’s View of Negation: Nāgeśa’s Paramalaghumañjūs.ā on Nañartha.

Lowe, John J. & Benson, James W. (2023).

Journal of Indian Philosophy 51 (1):49-75.

The logic of the catuskoti.

Priest, Graham (2010).

Comparative Philosophy 1 (2):24-54.

https://www.semanticscholar.org/paper/THE-LOGIC-OF-THE-CATUSKOTI-Priest/c2a46106ad68d2f7625872ff13dbbbd02fa1929a

Nāgārjuna’s Negation.

Rahlwes, Chris (2022).

Journal of Indian Philosophy 50 (2):307-344.

Nāgārjuna’s Catuṣkoṭi.

Westerhoff, Jan (2006).

Journal of Indian Philosophy 34 (4):367-395.

https://www.jstor.org/stable/23497268

Thinking Negation in Early Hinduism and Classical Indian Philosophy.

Bilimoria, Purushottama (2017).

Logica Universalis 11 (1):13-33.

The uses of the four positions of the Catuskoti and the problem of the description of reality in Mahāyāna Buddhism. 

Ruegg, D.S.

J Indian Philos 5, 1–71 (1997). https://doi.org/10.1007/BF00200712

https://link.springer.com/article/10.1007/BF00200712

Bibliography
(Appendices II and III)
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Two Indian Dialectical Logics: saptabhangi and catuskoti

Fabien Schang
2011, Studies in Logic: Logic and Philosophy Today

https://www.academia.edu/42017816/Two_Indian_Dialectical_Logics_saptabhangi_and_catuskoti

https://philarchive.org/rec/SCHTID-9

A Many-valued Modal Interpretation for Catuskoti

Liu Jingxian

A Vedic Touch To Logic In Indian Thought – Part One

SUBHASH KAK
Oct 09, 2016,

https://swarajyamag.com/culture/a-vedic-touch-to-logic-in-the-indian-thought

A Vedic Touch To Logic In Indian Thought – Part Two

SUBHASH KAK

Oct 09, 2016,

https://swarajyamag.com/culture/a-vedic-touch-to-logic-in-indian-thought-part-two

“Understanding Nāgārjuna’s Catuṣkoṭi.” 

Gunaratne, R. D.

Philosophy East and West 36, no. 3 (1986): 213–34. https://doi.org/10.2307/1398772.

The Deconstructionist Interpretation of Nagarjuna’s Catuskoti∗

Shi, Ruyuan (Chien-Yuan Hsu) PhD candidate, the Dep. of Religious Studies, the University of Calgary, Canada Sessional instructor, Mount Royal University, Canada

Logic in Indian Thought

Subhash Kak

2009, Chapter In Logic in Religious Discourse, Ontos Verlag

Does a Table Have Buddha-Nature? A Moment of Yes and No. Answer! But Not in Words or Signs: Reply to Siderits

Yasuo Deguchi
Kyoto University
Jay L. Garfield
Smith College, jgarfield@smith.edu
Graham Priest
University of Melbourne

Nagarjuna

IEP

An Introduction to Non-Classical Logic.

Priest, G . (2008).

New York: Cambridge University Press.

Doxographical Appropriation of Na ̄ga ̄rjuna’s Catus.kot.in Chinese Sanlun and Tiantai Thought

Hans Rudolf Kantor

2021

Graduate Institute of Asian Humanities, Huafan University, New Taipei City 223011, Taiwan; kantorsan@hotmail.com

Religions 12: 912. https://doi.org/10.3390/ rel12110912

Graham Priest on Buddhism and logic

by Massimo Pigliucci

CONTRADICTION AND RECURSION IN BUDDHIST PHILOSOPHY:
FROM CATUṢKOṬI TO KŌAN

adrian Kreutz (university of aMsterdaM)

https://adriankreutz.weebly.com/uploads/1/2/4/9/124988441/contradiction_and_recursion_in_buddhist.pdf

Nāgārjuna’s Catuskoti

A Gricean Interpretation of Nāgārjuna’s Catuskoti and the No-thesis View 

2020, History and Philosophy of Logic (link)

The central thesis of Buddhism is emptiness, a view saying that all entities have no essence Nāgārjuna (c. 150–250 CE), the famous founder of the Madhyamika School, proposed the positive catuṣkoṭi in his seminal work, Mūlamadhyamakakārikā: ‘All is real, or all is unreal, all is both real and unreal, all is neither unreal nor real; this is the graded teaching of the Buddha’. He also proposed the negative catuṣkoṭi: ‘“It is empty” is not to be said, nor “It is non-empty,” nor that it is both, nor that it is neither; [“empty”] is said only for the sake of instruction’ and the no-thesis view: ‘No dharma whatsoever was ever taught by the Buddha to anyone’. In this essay, I adopt Gricean pragmatics to explain the positive and negative catuṣkoṭi and the no-thesis view proposed by Nāgārjuna in a way that does not violate classical logic. For Nāgārjuna, all statements are false as long as the hearer understands them within a reified conceptual scheme, according to which (a) substance is a basic categorical concept; (b) substances have svabhāva, and (c) names and sentences have svabhāva.

“The Logical Form of Catuṣkoṭi: A New Solution.” 

Gunaratne, R. D.

Philosophy East and West 30, no. 2 (1980): 211–39. https://doi.org/10.2307/1398848.

The mādhyamika catuko i or tetralemma. 

Chakravarti, S.S.

J Indian Philos8, 303–306 (1980). https://doi.org/10.1007/BF00166298

“Understanding Nāgārjuna’s Catuṣkoṭi.” 

Gunaratne, R. D.

Philosophy East and West 36, no. 3 (1986): 213–34. https://doi.org/10.2307/1398772.

The Fifth Corner of Four: An Essay on Buddhist Metaphysics and the Catuskoti.

Priest, Graham (2018).

Oxford, England: Oxford University Press.

https://academic.oup.com/mind/article-abstract/129/515/965/5553059

Extract

If Euthyphro and Agrippa secured places in the history of philosophy for the dilemma and trilemma, Nāgārjuna did so for the tetralemma (catuṣkoṭi in Sanskrit). Even though this second-century Indian thinker did not invent the argumentative pattern in which the four alternatives of a position, its negation, both, or neither are considered, it became inextricably linked up with his philosophical approach, and Nāgārjuna (and the philosophical school of Madhyamaka he founded) plays a central role in Graham Priest’s ‘essay on Buddhist metaphysics and the catuṣkoṭi’. The book might remind readers of his landmark 2002 Beyond the Limits of Thought; even though the historical and conceptual scope in the present volume is narrower, many of the key features are still there: a chronological exposition following along with the history of philosophy, a focus on dialetheism in different manifestations, and descriptions of various formal constructions (in the present case drawn primarily from non-classical logic and graph theory) to elucidate complex and often quite obscure ideas of past masters.

Abstract

The book charts the development of Buddhist metaphysics, drawing on texts which include those of Nagarjuna and Dogen. The development is viewed through the lens of the Catuṣkoṭi At its simplest, and as it appears in the earliest texts, this is a logical/metaphysical principle which says that every claim is true, false, both, or neither; but the principle itself evolves, assuming new forms as the metaphysics develops. An important step in the evolution incorporates ineffability. Such things make no sense from the perspective of a logic which endorses the principles of excluded middle and non-contradiction, which are standard fare in Western logic. However, the book shows how one can make sense of them by applying the techniques of contemporary non-classical logic, such as those of First Degree Entailment, and plurivalent logic. An important issue that emerges as the book develops is the notion of non-duality and its transcendence. This allows many of the threads of the book to be drawn together at its end. All matters are explained, as far as possible, in a way that is accessible to those with no knowledge of Buddhist philosophy or contemporary non-classical logic.

Paraconsistent Logic

https://plato.stanford.edu/entries/logic-paraconsistent/

Graham Priest on Dialetheism and Paraconsistency

Volume 18 of Outstanding Contributions to Logic
Editors Can Başkent, Thomas Macaulay Ferguson
Publisher Springer Nature, 2020
ISBN 3030253651, 9783030253653
Length 704 pages

Chains of Being: Infinite Regress, Circularity, and Metaphysical Explanation

Author Ross P. Cameron
Publisher Oxford University Press, 2022
ISBN 0192596195, 9780192596192
Length 256 pages

A Brief History of the Paradox: Philosophy and the Labyrinths of the Mind

Author Roy Sorensen
Publisher Oxford University Press, 2003
ISBN 0190289317, 9780190289317
Length 416 pages

What are Paradoxes?

CHRISTOPHER COWIE

Journal of the American Philosophical Association 2023

https://doi.org/10.1017/apa.2021.48

Published online by Cambridge University Press

“The Paradox of Negation in Nāgārjuna’s Philosophy.” 

Patel, Kartikeya C.

Asian Philosophy 4, no. 1 (1994): 17–32. doi:10.1080/09552369408575386.

https://www.tandfonline.com/doi/abs/10.1080/09552369408575386

In Contradiction

Author Graham Priest
Edition 2
Publisher Clarendon Press, 2006
ISBN 0191532487, 9780191532481
Length 352 pages

Dialetheism

SEP

https://plato.stanford.edu/entries/dialetheism/

One: Being an Investigation Into the Unity of Reality and of Its Parts, Including the Singular Object which is Nothingness

Author Graham Priest
Edition illustrated
Publisher OUP Oxford, 2014
ISBN 0199688257, 9780199688258
Length 252 pages

The Law of Non-Contradiction: New Philosophical Essays.

GRAHAM PRIEST, JC BEALL, and BRADLEY ARMOUR-GARB, editors. 

Oxford: Clarendon Press, 2004. ISBN 0-19-926517-8. Pp. xii + 443., Philosophia Mathematica, Volume 13, Issue 2, June 2005, Page 235, https://doi.org/10.1093/philmat/nki019

What is a Contradiction?

Patrick Grim

Reflexivity: From Paradox to Consciousness

Authors Nicholas Rescher, Patrick Grim
Edition illustrated
Publisher Walter de Gruyter, 2013
ISBN 3110320185, 9783110320183
Length 190 pages

“Jaina Logic: A Contemporary Perspective.” 

Priest, Graham.

History and Philosophy of Logic 29, no. 3 (2008): 263–78. doi:10.1080/01445340701690233.

https://www.tandfonline.com/doi/full/10.1080/01445340701690233

Jaina Logic and the Philosophical Basis of Pluralism

JONARDON GANERI
Department of Philosophy, University of Liverpool
Revised 2 October 2002

HISTORY AND PHILOSOPHY OF LOGIC, 23 (2002), 267±281

https://philarchive.org/archive/JONJLA

Jaina Philosophy

SEP

https://plato.stanford.edu/entries/jaina-philosophy/

Seven-Valued Logic in Jain Philosophy

International Philosophical Quarterly
Volume 4, Issue 1, February 1964
George Bosworth Burch
Pages 68-93
https://doi.org/10.5840/ipq19644140

https://www.semanticscholar.org/paper/Seven-Valued-Logic-in-Jain-Philosophy-Burch/e828cdbadba3a52cf9338a1bd8cea359c12f6351

A History of Indian Logic (ancient, Mediæval and Modern Schools.)

Author Satis Chandra Vidyabhusana
Publisher Calcutta University, 1921
Original from Princeton University
Digitized Nov 20, 2008
Length 648 pages

https://archive.org/details/in.ernet.dli.2015.188696


History of the Mediæval School of Indian Logic, Volume 6

History of the Mediæval School of Indian Logic, Satis Chandra Vidvabhusana
Issue 1 of University studies, University of Calcutta
Author Satis Chandra Vidyabhusana
Publisher Calcutta University, 1909
Original from the University of Michigan
Digitized Feb 19, 2008
Length 100 pages

Possibilities as the foundation of reasoning

P. Johnson-Laird, P. Johnson-Laird, Marco Ragni
Published in Cognition 1 December 2019
Psychology

https://www.semanticscholar.org/paper/Possibilities-as-the-foundation-of-reasoning-Johnson-Laird-Johnson-Laird/ae7e961199497ca9a99ecf348fc500db5996ebb6

“Saptabhaṅgī: The Jaina Theory of Sevenfold Predication: A Logical Analysis.”

Jain, Pragati.

Philosophy East and West 50, no. 3 (2000): 385–99. http://www.jstor.org/stable/1400181.

Anekāntavāda and Dialogic Identity Construction” 

Barbato, Melanie. 2019.

Religions 10, no. 12: 642. https://doi.org/10.3390/rel10120642

https://www.mdpi.com/2077-1444/10/12/642

Hindu Logic As Preserved in China and Japan

Publications of the University of Pennsylvania Series in Philosophy Series
Author Sadajiro Sugiura
Editor Edgar Singer
Publisher CreateSpace Independent Publishing Platform, 2015
ISBN 1514745216, 9781514745212
Length 114 pages

https://archive.org/details/hindulogicaspreservedinchinaandjapanbysadajirosugiuraededwardsingera._202003_941_U

Dignāga and Dharmakīrti on Fallacies of Inference: Some Reflections.

Kukkamalla, Bhima Kumar (2020).

Journal of the Indian Council of Philosophical Research 37 (3):403-419.

Logic in Classical Indian Philosophy

SEP

https://plato.stanford.edu/entries/logic-india/

Buddhist Logic (2 volumes)

by TH. Stcherbatsky (Author)

Publisher ‏ : ‎ Motilal Banarsidass Pub; First Edition (December 17, 2008)
Language ‏ : ‎ English
Hardcover ‏ : ‎ 1030 pages
ISBN-10 ‏ : ‎ 8120810198
ISBN-13 ‏ : ‎ 978-8120810198

Buddhist logic reveals itself as the culminating point of a long course of Indian philosophic history. Its birth, its growth and its decline run parallel with the birth, the growth and the decline of Indian civilisation. The time has come to reconsider the subject of Buddhist logic in its historical connections. This is done in these two volumes. In the copious notes the literary renderings are given where needed. This will enable the reader to fully appreciate the sometimes enormous distance which lies between the words of the Sanskrit phrasing and their philosophic meaning rendered according to our habits of thought. The notes also contain a philosophic comment of the translated texts. The first volume contains a historical sketch as well as a synthetical reconstruction of the whole edifice of the final shape of Buddhist philosophy. The second volume contains the material as well as the justification for this reconstruction. 

Content: 
Preface, Abbreviations, Introduction, Part I – Reality and Knowledge (pramanya-vada), Part II-The Sensible world, Ch. 1 The theory of Instantaneous being (ksanika-vada),Ch. II Causation (pratitya-samutpada), Ch. III. Sense-Perception (pratyaksam), Ch. IV – Ultimate reality (paramartha-sat), Part III-The constructed world, Ch. I-Judgment, Ch. II – Inference, Ch. III – Syllogism (pararthanumanam), Ch. IV. Logical Fallacies, Part IV – Negation, Ch. I-The negative judgment, Ch. II. – The Law of Contradiction, Ch. III-Universals, Ch. IV. Dialectic, Part V-Reality of the External World, Conclusion, Indices, Appendix, Addenda et corrigenda. Preface, Appendices, Indices, Errata


Introduction to the Non-dualism Approach in Hinduism and its Connection to Other Religions and Philosophies

Sriram Ganapathi Subramanian S2GANAPA@UWATERLOO.CA Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada
Benyamin Ghojogh BGHOJOGH@UWATERLOO.CA Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada

https://philarchive.org/archive/SUBITT

Self and World: Major Aspects of Indian Philosophy.

Patel, Ramesh N. (2020).

Beavercreek, OH, USA: Lok Sangrah Prakashan.

https://philpapers.org/rec/PATSAW-3

Logic and Belief in Indian Philosophy

Second Revised Edition
edited by Piotr Balcerowicz

References:

1. Vidyahhusana, Satis Chandra. A History of Indian Logic: Ancient, Mediaeval and Modern Schools. Calcutta University, 1921.
2. S. S. Barlingay. A Modern Introduction to Indian Logic. Delhi: National Publishing House, 1965.
3. D. C. Guha. Navya Nyaya System of Logic. Delhi: Motilal Banarsidass, 1979.
4. Nandita Bandyopadhyay. The Concept of Logical Fallacies. Delhi: Sanskrit Pustak Bhandar, 1977.
5. B. K. Matilal. The Navya Nyaya Doctrine of Negation. Michigan: Harvard University Press, 1968.
6. S. R. Bhatt. Buddhist Epistemology. USA: Greenwood Press, 2000.
7. B. K. Matilal. Logic, Language and Reality. Delhi: Motilal Banarsidass, 2008.
8. Sastri, Kuppuswami.S. A Primer of Indian Logic: According To
Annambhatta’s Tarkasamgraha. Madras: Kuppuswami Sastri Research Institute, 1951.

How Do Theories of Cognition and Consciousness in Ancient Indian Thought Systems Relate to Current Western Theorizing and Research?

Peter Sedlmeier1 *and Kunchapudi Srinivas2

Institut für Psychologie, Technische Universität Chemnitz, Chemnitz, Germany, 2 Department of Philosophy, Pondicherry
University, Puducherry, India

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4791389/

Epistemology in Classical Indian Philosophy

SEP

https://plato.stanford.edu/entries/epistemology-india/

Logic, Language, and Reality: An Introduction To Indian Philosophical Studies

by Matilal, Bimal Krishna

https://archive.org/details/in.ernet.dli.2015.461051

Absence: An Indo-Analytic Inquiry

December 2016 Sophia 55(4)

DOI:10.1007/s11841-016-0547-8
Anand Jayprakash Vaidya
San Jose State University
Purushottama Bilimoria
University of California, Berkeley and San Francisco State University
Jayshankar L. Shaw

https://www.researchgate.net/publication/305482510_Absence_An_Indo-Analytic_Inquiry

Abstract

Two of the most important contributions that Bimal Krishna Matilal made to comparative philosophy derive from his (1968) doctoral dissertation The Navya-Nyāya Doctrine of Negation: The Semantics and Ontology of Negative Statements in Navya-Nyāya Philosophy and his (1986) classic: Perception: An Essay on Classical Indian Theories of Knowing. In this essay, we aim to carry forward the work of Bimal K. Matilal by showing how ideas in classical Indian philosophy concerning absence and perception are relevant to recent debates in analytic philosophy. In particular, we focus on the recent debate in the philosophy of perception centering on the perception of absence. In her Seeing Absence, Anya Farennikova (2013) argues for the thesis that we literally see absences. Her thesis is quite novel within the contexts of the traditions that she engages: analytical philosophy of perception, phenomenology, and cognitive neuroscience. In those traditions there is hardly any exploration of the epistemology of absence. By contrast, this is not the case in classical Indian philosophy where the debate over the ontological and epistemological status of absence (abhāva) is longstanding and quite engaging. In what follows, we engage Farennikova’s arguments, and those of John-Rémy Martin and Jérome Dokic in their (2013) response to her work, through the use of classical Indian philosophers and their twentieth century proponents. Using the work of Matilal (1968, 1986), Bilimoria (2015) and Shaw (2016) we show that there are several engaging ideas that can be taken from Indian philosophy into the terrain explored by Farennikova, and Martin & Dokic. Our aim is to provide an updated comparative engagement on absence and its perception for the purposes of enhancing future discussions within analytic philosophy. However, we do not aim to merely show this by focusing on the history of primary texts or on twentieth century commentary on primary texts. Instead, we hope to show that the living tradition of Indian philosophy that Matilal embodied carries forward in his students and colleagues as they revive and extend Indian philosophy.

Negation (Abha¯va), Non-existents, and a Distinctive pramana in the Nya¯ya-Mı¯ma¯ṃsa

January 2016
DOI:10.1007/978-3-319-17873-8_12
Authors:
Purushottama Bilimoria
University of California, Berkeley and San Francisco State University

https://www.researchgate.net/publication/307634171_Negation_Abhava_Non-existents_and_a_Distinctive_pramana_in_the_Nyaya-Mimamsa

Why Is There Nothing Rather Than Something? An Essay in the Comparative Metaphysic of Nonbeing

October 2019
DOI:10.1007/978-3-030-18148-2_13
In book: Considering Religions, Rights and Bioethics: For Max Charlesworth (pp.175-197)
Authors:
Purushottama Bilimoria
University of California, Berkeley

https://www.researchgate.net/publication/336630065_Why_Is_There_Nothing_Rather_Than_Something_An_Essay_in_the_Comparative_Metaphysic_of_Nonbeing

https://www.researchgate.net/publication/257761935_Why_Is_There_Nothing_Rather_Than_Something

Abstract

This essay in the comparative metaphysic of nothingness begins by pondering why Leibniz thought of the converse question as the preeminent one. In Eastern philosophical thought, like the numeral ‘zero’ (śūnya) that Indian mathematicians first discovered, nothingness as non-being looms large and serves as the first quiver on the imponderables they seem to have encountered (e.g., ‘In the beginning was neither non-being what nor being: what was there, bottomless deep?’ ṚgVeda X.129). The concept of non-being and its permutations of nothing, negation, nullity, etc., receive more sophisticated treatment in the works of grammarians, ritual hermeneuticians, logicians, and their dialectical adversaries variously across Jaina and Buddhist schools. The present analysis follows the function of negation/the negative copula, nãn, and dialetheia in grammar and logic, then moves onto ontologies of non-existence and extinction and further suggestive tropes that tend to arrest rather than affirm the inexorable being-there of something. (This chapter is to be read in tandem with two aligned papers that have appeared since the first publication of this chapter (see above), namely, ‘Thinking Negation in Early Hinduism and Classical Indian Philosophy’ (Bilimoria 2017); and ‘Negation (Abhāva), Non-existents, and a Distinctive Pramāṇa in the Nyāya-Mīmāṃsā’ (Bilimoria 2016)).

Catuṣkoṭi

Wikipedia

https://en.wikipedia.org/wiki/Catuṣkoṭi

Neti-Neti or Apophatic Theology: Knowledge Obtained by Negation

The Transformative Philosophical Dialogue: From Classical Dialogues to Jiddu Krishnamurti’s Method

Volume 41 of Sophia Studies in Cross-cultural Philosophy of Traditions and Cultures
Author Shai Tubali
Publisher Springer Nature, 2023
ISBN 3031400747, 9783031400742
Length 258 pages

Logic: A Short Introduction

Collection of 6 Youtube Videos on introduction to Logic.

Graham Priest

Professor at CUNY, NYC

History of Indian Philosophy

Routledge History of World Philosophies
Editor Purushottama Bilimoria
Edition illustrated, reprint
Publisher Routledge, 2017
ISBN 1317356179, 9781317356172
Length 638 pages

Chapter 6 – Nyāya-Vaiśeṣika theory of Relation

Reality of Relation
Different types of Relation
Saṃyoga (Conjunction)
Samavāya
Viśeṣaṇatā Sambandha (Attributive Relation)
Vṛttyaniyāmaka-sambandha (Non-Occurrent-Exacting Relation)

https://www.wisdomlib.org/hinduism/essay/nyaya-vaisheshika-categories-study/d/doc1149907.html

Relations in Indian Philosophy

(Sri Garib Dass Oriental Series) (English and Sanskrit Edition) Hardcover – January 1, 1993
Sanskrit Edition by V. N. Jha (Editor)

ISBN-10 ‏ : ‎ 817030329X
ISBN-13 ‏ : ‎ 978-8170303299

Delhi, India: Sri Satguru Publications.

https://philpapers.org/rec/JHARII

Contributed research papers presented at the National Seminar on Relations in Indian Philosophy, held during 25th-27th March 1991 at the Centre of Advanced Study in Sanskrit, University of Poona.

https://www.exoticindiaart.com/book/details/relations-in-indian-philosophy-old-and-rare-book-nas077/

The present volume contains 17 articles presented and discussed at the National Seminar on Relations in Indian Philosophy which was held on 25th to 27th March, 1991, at the Centre of Advanced Study in Sanskrit, University of Poona. The papers focusses on nature of a relation, the role played by a relation in generating a cognition, the role played by a relation in creating a precise language of philosophical and logical communication. and the philosophical implication of a relation. Any philosophical analysis requires clear idea about these aspects of a relation. The studies included here cover a very wide range of philosophical and logical literature in Sanskrit. Although the main source of information has been the literature on Pracina-Nyaya and Navya-Nyaya, some articles also have taken into account the position of relation and the problems of relation in other systems of Indian Philosophy. There are views on relation being Ontological facts and also there are views which deny the Ontological reality of a relation. The discussions in this volume in- corporate both the ranges.

Preface

The present volume contains 17 articles presented and discussed at the National Seminar on Relations in Indian Philosophy which was held on 25th to 27th March, 1991 at the Centre of Advanced Study in Sanskrit, University of Poona.

It gives me pleasure to present these articles in the hands of scholars of Indology, Logic and Philosophy. Briefly speaking, focus has been put in these papers on the following aspects.

1. Nature of a relation.

2. The role played by a relation in generating a cognition.

3, The role played by a relation in creating a precise language of philosophical and logical communication.

4. The Philosophical implication of a relation.

Any Philosophical analysis requires clear idea about these aspects of a relation. The studies included here cover a very wide range of philosophical and logical literature in Sanskrit. Although the main source of information has been the literature on Pracina Nyaya and Navya-Nyaya, some articles also have taken into account the position of relation and the problems of relation in other systems of Indian Philosophy. As can be seen, there are views on relations being Ontological facts and also there are views which deny the Ontological reality of a relation. The discussions in this volume incorporate both the ranges.

The Navya-Nyaya system of Indian Logic started paying more attention to the problem of relation because it was the necessity of the time. There was a great need for evolving a precise language of communication for logical and philosophical discussions. The Indian logicians realised that this cannot be achieved without introducing the idea of delimitations through property and relations and this is why they had to pay more attention to the discussion on relations. I wish that the readers will read this volume with the perspective presented above.

I thank the Indian Books Centre, New Delhi for undertaking the publication of this volume. I am sure, the scholars in the field will highly appreciate this venture.

The Problem of Relation in Indian Philosophy

N S Dravid

Nagpur

Click to access 5-1-3.pdf

Problem of Relations in Indian Philosophy

Author Sarita Gupta
Publisher Eastern Book Linkers, 1984
Original from the University of Michigan
Digitized Jun 8, 2006
Length 111 pages

https://www.exoticindiaart.com/book/details/problem-of-relations-in-indian-philosophy-old-and-rare-book-nap580/

Quantum Entanglement and the Philosophy of Relations – Jaina Perspective

  • By Prof Sisir Roy
  •  August 2017

https://www.esamskriti.com/e/Spirituality/Science-ad-Indian-Wisdom/Quantum-Entanglement-and-the-Philosophy-of-Relations-~-Jaina-Perspective-1.aspx

Causation In Indian Philosophy

Apu Sutradhar
Guest Lecturer, Department of Philosophy,
A.B.N Seal College, Cooch Behar, W.B, India.

IOSR Journal Of Humanities And Social Science (IOSR-JHSS)
Volume 23, Issue 9, Ver. 3 (September. 2018) 35-39
e-ISSN: 2279-0837, p-ISSN: 2279-0845.
http://www.iosrjournals.org

Causation, Indian theories of

Perrett, Roy W.

DOI 10.4324/9780415249126-F055-1

https://www.rep.routledge.com/articles/thematic/causation-indian-theories-of/v-1

Article Summary

Causation was acknowledged as one of the central problems in Indian philosophy. The classical Indian philosophers’ concern with the problem basically arose from two sources: first, the cosmogonic speculations of the Vedas and the Upaniṣads, with their search for some simple unitary cause for the origin of this complex universe; and second, the Vedic concern with ritual action (karman) and the causal mechanisms by which such actions bring about their unseen, but purportedly cosmic, effects. Once the goal of liberation (mokṣa) came to be accepted as the highest value, these two strands of thought entwined to generate intense interest in the notion of causation. The systematic philosophers of the classical and medieval periods criticized and defended competing theories of causation. These theories were motivated partly by a desire to guarantee the efficacy of action and hence the possibility of attaining liberation, partly by a desire to understand the nature of the world and hence how to negotiate our way in it so as to attain liberation.

Indian philosophers extensively discussed a number of issues relating to causation, including the nature of the causal relation, the definitions of cause and effect, and classifications of kinds of causes. Typically they stressed the importance of the material cause, rather than (as in Western philosophy) the efficient cause. In India only the Cārvāka materialists denied causation or took it to be subjective. This is unsurprising given that a concern with demonstrating the possibility of liberation motivated the theories of causation, for only the Cārvākas denied this possibility. The orthodox Hindu philosophers and the heterodox Buddhists and Jainas all accepted both the possibility of liberation and the reality of causation, though they differed sharply (and polemically) about the details.

The Indian theories of causation are traditionally classified by reference to the question of whether the effect is a mode of the cause. According to this taxonomy there are two principal theories of causation. One is the identity theory (satkāryavāda), which holds that the effect is identical with the cause, a manifestation of what is potential in the cause. This is the Sāṅkhya-Yoga view, though that school’s particular version of it is sometimes called transformation theory (pariṇāmavāda). Advaita Vedānta holds an appearance theory (vivartavāda), which is often considered a variant of the identity theory. According to the appearance theory effects are mere appearances of the underlying reality, Brahman. Since only Brahman truly exists, this theory is also sometimes called satkāraṇavāda (the theory that the cause is real but the effect is not).

The other principal theory of causation is the nonidentity theory (asatkāryavāda), which denies that the effect pre-exists in its cause and claims instead that the effect is an altogether new entity. Both adherents of Nyāya-Vaiśeṣika and the Buddhists are usually classified as nonidentity theorists, but they differ on many important details. One of these is whether the cause continues to exist after the appearance of the effect: Nyāya-Vaiśeṣika claims it does, the Buddhists mostly claim it does not.

Finally, some philosophers try to take the middle ground and claim that an effect is both identical and nonidentical with its cause. This is the position of the Jainas and of some theistic schools of Vedānta.

“ANĀDITVA OR BEGINNINGLESSNESS IN INDIAN PHILOSOPHY.” 

Tola, Fernando, and Carmen Dragonetti.

Annals of the Bhandarkar Oriental Research Institute 61, no. 1/4 (1980): 1–20. http://www.jstor.org/stable/41691856.

Six Systems of Indian Philosophy

By Sanjeev Nayyar

https://www.esamskriti.com/e/Spirituality/Philosophy/Six-Systems-Of-Indian-Philosophy-1.aspx

Theory of Error and Nyāya Philosophy: A Conceptual Analysis

Gobinda Bhattacharjee
PhD Research Scholar,
Department of Philosophy,
Tripura University, Suryamaninagar – 799022, Tripura, INDIA

2021 IJRAR September 2021, Volume 8, Issue 3

http://www.ijrar.org (E-ISSN 2348-1269, P- ISSN 2349-5138)

https://philarchive.org/archive/BHATOE

A History of Pre-Buddhistic Indian Philosophy

Author Beni Madhab Barua
Publisher University of Calcutta, 1921
Original from Princeton University
Digitized Oct 9, 2008
Length 444 pages

Indian Philosophy Volume 1

Volume 1 of Indian Philosophy
Author Jadunath Sinha
Publisher Motilal Banarsidass, 2016
ISBN 8120836510, 9788120836518
Length 944 pages

Indian Philosophy Volume 2

Volume 2 of Indian Philosophy
Author Jadunath Sinha
Publisher Motilal Banarsidass, 2016
ISBN 8120836529, 9788120836525
Length 762 pages

Indian Philosophy Volume 3

Volume 3 of Indian Philosophy
Author Jadunath Sinha
Publisher Motilal Banarsidass, 2016
ISBN 8120836537, 9788120836532
Length 487 pages

A Calculus for Self Reference, Autopoiesis, and Indications

A Calculus for Self Reference, Autopoiesis, and Indications

Source: FIVE TYPES OF SYSTEMS PHILOSOPHY

Bunge’s three types of systems philosophies are expanded to five:

  • atomism (the world is an aggregate of elements, without wholes; to be understood by analysis),
  • holism (ultimate reality is a whole without parts, except as illusory manifestations; apprehended intuitively),
  • emergentism (parts exist together and their relations, connections, and organized interaction constitute wholes that continue to depend upon them for their existence and nature; understood first analytically and then synthetically),
  • structuralism (the universe is a whole within which all systems and their processes exist as depending parts; understanding can be aided by creative deduction),
  • and organicism (every existing system has both parts and whole, and is part of a larger whole, etc.; understanding the nature of whole-part polarities is a clue to understanding the nature of systems.

How these five types correlated with theories of conceptual systems and methodologies is also sketched.

Source: https://www.uboeschenstein.ch/texte/spencer-brown.html

Any indication implies duality, we cannot produce a thing without coproducing what it is not, and every duality implies triplicity: what the thing is, what it isn’t, and the boundary between them. Thus you cannot indicate anything without defining two states, and you cannot define two states without creating three elements. None of these exists in reality, or separately from the others

Key Terms

  • G. Spencer Brown
  • Self-indication
  • Self-reference
  • Self-referential systems
  • Calculus of Indications
  • Paradoxes
  • Autonomy
  • F. Varela
  • Dirk Baecker
  • Calculus for Self Reference
  • Calculus for Autopoiesis
  • Laws of Form
  • Distinctions
  • Indications
  • L H Kauffman
  • H Maturana
  • Athanasios Karafillidis
  • Lambda Calculus
  • Alanzo Church
  • Diamond Calculus
  • William Bricken

A Calculus for Indication

George Spencer-Brown

Source: https://www.uboeschenstein.ch/texte/spencer-brown.html

George Spencer Brown
Laws of Form
Cognizer Co.
1994 Limited Edition

Preface to the 1994 Limited Edition
page VII

A generation has grown up since Laws of Form was first published in English. Human awareness has changed in the meantime, and what could not be said then it can be said now. In particular, I can now refer to the falseness of current scientific doctrine, what I call scientific duplicity: that appearance and reality are somehow different.

Since there is no means, other than appearance, for studying reality, they are definitely the same. 

But the scientist not only supposes they are different, and that he is „gradually finding out“ the one by means of the other; he supposes also that awareness (which he mistakenly confuses with consciousness) of the reality-apperance is something that is different again; and that the universe might have „existed“ for „billions of years“ amid total unawareness of what was going on.  

This I shall have two call scientific triplicity. Again by definition, there can be no appearance that is not an awareness of appearance, and, of course, no awareness that is not an appearance of awareness. And since the scale of real-unreal cannot apply to appearance in general (as it can distinguish, for example, between real and toy soldiers), whatever appears, as appearance, must be equally real and unreal.

Reversing the false distinctions, we arrive at what I call the triple identity, notably the definitional identity of reality, appearance, and awareness. It is remarkable how all the „building blocks“ of existence appear as triunions. (Compare the so-called „divine trinity“ of Christianity, which is merely a summary of our perception of how to construct the formation of any thing whatever.) It ist he triunion that apparently provides the magic inflatory principle that makes it all seem like it’s really there.

The word „there“ supplies the trick. There exists and reality in no „where“ fort he „there“ to be. Nor is there any „when“. All these are constructions of imagination, inventions of apparently stable formations for the apparent appearances. Hence another expression of the triple identity: the identity of imaginability, possibility, and actuality.

The universe is simply what would appear if it could.  

Its laws are the laws of the possible, called by Sakyamuni the links of conditioned coproduction, called by me the calculus of indications. Each teaches exactly the same teaching, how what cannot possibly be anything comes to appear as if it were something. Since there is only one way this can happen, the teaching is always the same. Unfortunately, human beings have a childish propensity to turn what ever they learn into religions, and when this happens the original teaching is corrupted.

A thing is not possible unless it is imaginable, and we could never confirm that it was possible unless it appeared in actuality. Thus what is possible will always be found to exist, and its actual existence (for exemple helium, carbon 60) will be discovered soon after its possibility has been imagined. What exists is formally constructed by postulating the imagination of a hypothetical being that is supposed to perceive it, and different beings will bring about the construction of different existences. (Not only physical existence, but all creation is subject to the same law.) A totally different being will construct a completely different existence: „The world of the happy is altogether different from the world of the unhappy“. Wittgenstein, Tractatus, 1922

„We“ make an existence by taking apart the elements of a triple identity. The existence ceases when we put them together again

Sakyamuni, the only other author who evidently discovered these laws, remarked in this context, „Existence is duality: nonexistence is non-duality. (The more a being cultivates consciousness at the expense of awareness, the stupider it becomes. Western civilisation has promoted consciousness and neglected awareness almost to the point of complete idiocy. I have had to spend the greater part of a lifetime undoing and reversing the destructive ravages of my one-sided education.)

Any indication implies duality, we cannot produce a thing without coproducing what it is not, and every duality implies triplicity: what the thing is, what it isn’t, and the boundary between them. Thus you cannot indicate anything without defining two states, and you cannot define two states without creating three elements. None of these exists in reality, or separately from the others.  

In reality there never was, never could be, and never will be anything at all. There! You always knew with its. No other answer makes sense.

All I teach is the consequences of there being nothing. The perennial mistake of Western philosophers has been to suppose, with no justification whatever, that nothing cannot have any consequences. (The idea that the creation must be a consequence of „something“ is moronic. No thing can have any consequence whatever. If there were originally something, it would poison the whole creative process. Only nothing is unstable enough to give origin to endless concatenations of different appearances.) On the contrary: not only it can: it must. And one of the consequences of there being nothing is the inevitable appearance of „all this“. No problem!

Page XXIX: A Note on the Mathematical Approach

The theme of this book is that the universe comes into being when a space is severed to or taken apart. The skin of a living organism cuts off an outside from an inside. So does the circumference of a circle in a plane. By tracing the way we represent such a severance, we can begin to reconstruct, with an accuracy and coverage that appear almost uncanny, the basic forms underlying linguistic, mathematical, physical, and biological science, and can begin to see how familiar laws of our own experience follow inexorably from the original act of severance. The act is itself already remembered, even unconsciously, as our first attempt to distinguish different things in a world where, in the first place, the boundaries can be drawn any where we please. At this stage the universe cannot be distinguished from how we act upon it and the world may seem like shifting sand beneath our feet.

Although all forms, and thus all universities, are possible, and any particular form is mutable, it becomes evident that the laws relating such forms of the same in any universe. It is this sameness, the idea that we can find a reality which is independent of how the universe actually appears, that lends such fascination to the study of mathematics. That mathematics, in common with other art forms, can lead us beyond ordinary existence, and can show us something of the structure in which all creation hangs together, is no new idea but mathematical texts generally begin the story somewhere in the middle, leaving the reader to pick up the thread as best he can. Here the story is traced from the beginning.

Source: Laws of Form / 1994 Limited Edition

Source: Laws of Form / 1994 Limited Edition

Source: Laws of Form / 1994 Limited Edition

Source: Laws of Form / 1994 Limited Edition

Source: Laws of Form / 1994 Limited Edition

Source: Laws of Form / 1994 Limited Edition

Source: Laws of Form / 1994 Limited Edition

A Calculus for Self Reference

Francisco Varela

https://www.tandfonline.com/doi/abs/10.1080/03081077508960828

An extension of the calculus of indications (of G. Spencer Brown) is presented to encompass all occurrences of self-referential situations. This is done through the introduction of a third state in the form of indication, a state seen to arise autonomously by self-indication. The new extended calculus is fully developed, and some of its consequences for systems, logic and epistemology are discussed.

A Calculus for Autopoiesis

Dirk Baecker

This paper looks once more at the understanding and definition of autopoiesis as developed by Humberto R. Maturana, Francisco J. Varela, and Ricardo Uribe (Varela/Maturana/Uribe 1974; Maturana 1981; Maturana/Varela 1980; Varela 1979a). We will not go into the philology of comparing the different versions of the understanding and definition of autopoiesis, into the different attempts to get its record straight, or into the question whether not only living but also social systems may be considered autopoietic by well-defined criteria (Zeleny 1981; Zeleny/Hufford 1992; Fleischaker 1992; Geyer 1992; Bourgine/Stewart 2004; Luisi 2003). We will instead focus on just one question: whether George Spencer-Brown’s Laws of Form (2008) presents us with a possibility of translating Maturana’s definition into a kind of a calculus. Francisco J. Varela tried to do this, only to discover that he had to add a further autonomous state to the calculus of indications to make it fit for modeling self reference (Varela 1975, 1979b). We share criticism of this attempt that addresses the idea that the distinction itself, in the form identical to the observer (Spencer-Brown 2008: 63) is already the autonomous state Varela thought he needed to introduce (Kauffman 1978; Varga von Kibéd 1989).

Instead of going into this extended discussion at this point, we turn to another discussion on social systems as autopoietic systems that establish and unfold their own paradox into a play with their distinctions, frames, and values that equals their iterative reproduction (Luhmann 1990a, 1992; Hutter 1979: 194-200, 1989: 28-33, 1990). That is, we look again at Maturana’s emphasis on components, networks, and boundaries and try to figure out how thisemphasis can translate into an understanding of form that knows about self-reference, paradox, and play.

My Related Posts

Autocatalysis, Autopoiesis and Relational Biology

Cybernetics, Autopoiesis, and Social Systems Theory

Reflexivity, Recursion, and Self Reference

Society as Communication: Social Systems Theory of Niklas Luhmann

Boundaries and Relational Sociology

Networks, Narratives, and Interaction

Semiotic Boundaries

Social and Symbolic Boundaries

Boundaries and Distinctions

Boundaries and Networks

Charles Sanders Peirce’s Visual Logic: Diagrams and Existential Graphs

Steps to an Ecology of Mind: Recursive Vision of Gregory Bateson

Knot Theory and Recursion: Louis H. Kauffman

Frames, Communication, and Public Policymaking

Key Sources of Research

Self-Reference: Reflections on Reflexivity

edited by S.J. Bartlett, P. Suber

A Calculus for Autopoiesis

Baecker, Dirk,

(June 1, 2012).

in: Dirk Baecker und Birger P. Priddat (eds.), Ökonomie der Werte: Festschrift zum 65. Geburtstag von Michael Hutter, Marburg: Metropolis, 2013, 249-267,

Available at SSRN: https://ssrn.com/abstract=2073362 or http://dx.doi.org/10.2139/ssrn.2073362

A CALCULUS FOR SELF-REFERENCE

J. FRANCISCO & G. VARELA (1975) 

International Journal of General Systems, 2:1, 5-24, 

DOI: 10.1080/03081077508960828

Click to access VarelaCSR.pdf

Click to access varela_calculus.pdf

THE ARITHMETIC OF CLOSURE

FRANCISCO J. VARELA & JOSEPH A. GOGUEN (1978) 

Journal of Cybernetics, 8:3-4, 291-324, 

DOI: 10.1080/01969727808927587

https://www.tandfonline.com/doi/abs/10.1080/01969727808927587?src=recsys

SYSTEMS AND DISTINCTIONS; DUALITY AND COMPLEMENTARITY

JOSEPH A. GOGUEN & FRANCISCO J. VARELA (1979) 

International Journal of General Systems, 5:1, 31-43, 

DOI: 10.1080/03081077908960886

https://www.tandfonline.com/doi/abs/10.1080/03081077908960886?src=recsys

NETWORK SYNTHESIS AND VARELA’S CALCULU 

LOUIS H. KAUFFMAN (1978) 

International Journal of General Systems, 4:3, 179-187, 

DOI: 10.1080/03081077808960682

https://www.tandfonline.com/doi/abs/10.1080/03081077808960682

ISOMORPHISMS OF SPENCER-BROWN’S LAWS OF FORM AND VARELA’S CALCULUS FOR SELF-REFERENCE

DANIEL G. SCHWARTZ (1981) 

International Journal of General Systems,6:4, 239-255, 

DOI: 10.1080/03081078108934802

https://www.tandfonline.com/doi/abs/10.1080/03081078108934802

FIVE TYPES OF SYSTEMS PHILOSOPHY

ARCHIE J. BAHM (1981) 

International Journal of General Systems, 6:4, 233-237, 

DOI: 10.1080/03081078108934801

https://www.tandfonline.com/doi/abs/10.1080/03081078108934801?src=recsys

LAWS OF FORM AND FINITE AUTOMATA 

PETER TURNEY (1986) 

International Journal of General Systems, 12:4, 307-318, 

DOI: 10.1080/03081078608934939

https://www.tandfonline.com/doi/abs/10.1080/03081078608934939?src=recsys

FLAWS OF FORM

PAUL CULL & WILLIAM FRANK (1979) 

International Journal of General Systems, 5:4, 201-211, 

DOI: 10.1080/03081077908547450

https://www.tandfonline.com/doi/abs/10.1080/03081077908547450?src=recsys

INTRODUCTORY COMMENTS TO FRANCISCO VARELA’ S CALCULUS FOR SELF-REFERENCE, 

RICHARD HERBERT HOWE & HEINZ VON FOERSTER (1975) 

International Journal of General Systems, 2:1, 1-3, 

DOI: 10.1080/03081077508960827

ON THE LAWS OF FORM

ROBERT A. ORCHARD (1975) 

International Journal of General Systems, 2:2, 99-106, 

DOI: 10.1080/03081077508547493

EPISTEMOLOGY, SEMANTICS, AND SELF-REFERENCE, 

ANNETTA PEDRETTI (1980) 

Journal of Cybernetics, 10:4, 313-339, 

DOI: 10.1080/01969728008927652

Snakes all the Way Down: Varela’s Calculus for Self-Reference and the Praxis of Paradise

André Reichel

First published: 14 October 2011

https://doi.org/10.1002/sres.1105

Systems Research and Behavioral Science

Volume 28, Issue 6
Special Issue: Autopoiesis, Systems Thinking and Systemic Practice: The Contribution of Francisco Varela
November/December 2011
Pages 646-662

https://onlinelibrary.wiley.com/doi/full/10.1002/sres.1105

https://www.researchgate.net/publication/227670222_Snakes_all_the_Way_Down_Varela%27s_Calculus_for_Self-Reference_and_the_Praxis_of_Paradise

Self-Reference and Time According to G. Spencer-Brown

Andreas Kull

Max-Planck-Institut fu ̈r Extraterrestrische Physik

D-85740 Garching, Germany

http://sfile-pull.f-static.com/image/users/112431/ftp/my_files/sbrown.pdf?id=11014655

A Note on the Possibility of Self-Reference in Mathematics

Arieh Lev

Mathematical Work of Francisco Varela

Louis H. Kauffman • University of Illinois at Chicago, USA • kauffman/at/uic.edu

Constructivist Foundations

Volume 13 · Number 1 · Pages 11–17

2017

 http://constructivist.info/13/1/011

Virtual logic — the calculus of indications

Author: Kauffman, L.H.
Source: Cybernetics & Human Knowing, Volume 5, Number 1, 1 January 1998, pp. 63-68(6)
Publisher: Imprint Academic

Virtual logic – self-reference and the calculus of indications

Author: Kauffman, L.H.
Source: Cybernetics & Human Knowing, Volume 5, Number 2, 1 February 1998, pp. 75-82(8)
Publisher: Imprint Academic

https://www.ingentaconnect.com/content/imp/chk/1998/00000005/00000002/11

Virtual Logic — symbolic logic and the calculus of indications

Author: Kauffman, L.H.
Source: Cybernetics & Human Knowing, Volume 5, Number 3, 1 March 1998, pp. 63-70(8)
Publisher: Imprint Academic

https://www.researchgate.net/publication/263247376_Virtual_Logic_–_symbolic_logic_and_the_calculus_of_indications

Peirce and Spencer-Brown: history and synergies in cybersemiotics

Authors: Kauffman, L.H.; Brier, S.
Source: Cybernetics & Human Knowing, Volume 8, Numbers 1-2, 1 January 2001, pp. 3-5(3)
Publisher: Imprint Academic

Peirce’s Existential Graphs

Author: Kauffman, Louis
Source: Cybernetics & Human Knowing, Volume 18, Numbers 1-2, 2011, pp. 49-81(33)
Publisher: Imprint Academic

Virtual Logic–Number and Imagination

Author: Kauffman, Louis
Source: Cybernetics & Human Knowing, Volume 18, Numbers 3-4, 2011, pp. 187-196(10)
Publisher: Imprint Academic

An Esoteric Guide to Spencer-Brown’s Laws Of Form

Author: Miller, S.
Source: Cybernetics & Human Knowing, Volume 21, Number 4, 2014, pp. 31-67(37)
Publisher: Imprint Academic

Gregory Bateson, Heterarchies, and the Topology of Recursion

Author: Harries-Jones, Peter
Source: Cybernetics & Human Knowing, Volume 12, Numbers 1-2, 2005, pp. 168-174(7)
Publisher: Imprint Academic

Virtual Logic–Set Theory and the Continuum Hypothesis

Author: Kauffman, L.H.
Source: Cybernetics & Human Knowing, Volume 21, Number 3, 2014, pp. 63-74(12)
Publisher: Imprint Academic

Ontopoiesis, Autopoiesis, and a Calculus Intended for Self-Reference

Randolph T Dible

https://www.academia.edu/36670762/Ontopoiesis_Autopoiesis_and_a_Calculus_Intended_for_Self_Reference

SELFREFERENCE, PHENOMENOLOGYAND PHILOSOPHY OF SCIENCE

by

Steven James Bartlett

website: http://www.willamette.edu/~sbartlet

Structural Reflexivity and the Paradoxes of Self-Reference

Rohan French

university of groningen

rohan.french@gmail.com

ERGO Volume 3, No. 05, 2016

DOI: https://doi.org/10.3998/ergo.12405314.0003.005

https://quod.lib.umich.edu/e/ergo/12405314.0003.005/–structural-reflexivity-and-the-paradoxes-of-self-reference?rgn=main;view=fulltext

Self-Reference

Stanford Encyclopedia of Philosophy

https://plato.stanford.edu/entries/self-reference/

A Calculus for Autopoiesis

Baecker, Dirk,

(June 1, 2012).

in: Dirk Baecker und Birger P. Priddat (eds.), Ökonomie der Werte: Festschrift zum 65. Geburtstag von Michael Hutter, Marburg: Metropolis, 2013, 249-267,

Available at SSRN: https://ssrn.com/abstract=2073362 or http://dx.doi.org/10.2139/ssrn.2073362

Life and mind: From autopoiesis to neurophenomenology. A tribute to Francisco Varela

EVAN THOMPSON

Canada Research Chair in Cognitive Science and the Embodied Mind, Department of Philosophy, York University (E-mail: evant@yorku.ca)

Phenomenology and the Cognitive Sciences 3: 381–398, 2004.

George Spencer-Brown’s laws of form fifty years on: why we should be giving it more attention in mathematics education

Steven Watson University of Cambridge

MATHEMATICS TEACHING RESEARCH JOURNAL

Special Issue on Philosophy of Mathematics Education Summer 2020 Vol 12 no 2

SECOND ORDER CYBERNETICS

Ranulph Glanville,

CybernEthics Research, UK and Royal Melbourne Institute of Technology University, Australia

A Formal Theory of Calculus of Indication

Tadao Ishii

George Spencer Brown
Laws of Form (Calculus of Indications)

Dr. Randall Whitaker

Website

http://www.enolagaia.com/GSB.html#LoF

Working the Form: George Spencer-Brown and the Mark of Distinction

  • June 2015

Dirk Baecker

https://www.researchgate.net/publication/278210110_Working_the_Form_George_Spencer-Brown_and_the_Mark_of_Distinction

“Spencer-Brown, Peirce, Girard, and the Origin of Logic.” 

Rosa, António Machuco.

Contagion: Journal of Violence, Mimesis, and Culture 22 (2015): 65–88. https://doi.org/10.14321/contagion.22.1.0065.

https://www.jstor.org/stable/10.14321/contagion.22.1.0065

The Brown-4 Indicational Calculus

Arthur M. Collings

Cybernetics and Human Knowing. Vol. 24 (2017), nos. 3-4, pp. 75-101

Triplicity in Spencer-Brown, Lacan, and Poe

Don Kunze
Department of Architecture, Penn State University

SPACE IS THE PLACE: THE LAWS OF FORM AND SOCIAL SYSTEMS 

Michael Schiltz

Thesis Eleven, Number 88, February 2007: 8–30

SAGE Publications (London, Thousand Oaks, CA and New Delhi)

DOI: 10.1177/0725513607072452

Distinction is Sufficient

William Bricken

March 2017

Click to access DistinctionIsSufficient.180327.pdf

Bayesian inference and the world mind

John O. Campbell

Comment: Socializing a Calculus

The Emergence of a Theory of Social Forms and a Sociological Notation

Athanasios Karafillidis

Cybernetics and Human Knowing. Vol. 20, nos. 3-4, PP· 108-141

Click to access Karafillidis_Socializing.pdf

Shape of things to come: From the ‘laws of form’ to management in the post-growth economy

André Reichel

Ephemera 2017

http://www.ephemerajournal.org

volume 17(1): 89-118

AN ESOTERIC GUIDE TO SPENCER-BROWN’S LAWS OF FORM 

Seth T. Miller, PhD Cand.

Laws of Form

George Spencer Brown

1969

Click to access Spencer-Brown,%20George%20-%20Laws%20of%20Form.pdf

Introduction

Neocybernetic Emergence

bruce clarke and mark b. n. hansen

SEMIOTIC ABSTRACTIONS
IN THE THEORIES OF GOTTHARD GÜNTHER AND GEORGE SPENCER BROWN

By Rudolf Matzka, Munich, May 1993

Diamond Calculus of Formation of Forms

A calculus of dynamic complexions of distinctions as an interplay of worlds and distinctions

Rudolf Kaehr Dr.phil

ISSN 2041-4358

https://www.yumpu.com/en/document/view/35498897/diamond-calculus-of-formation-of-forms-thinkart-lab

Click to access rk_Diamond-Calculus-of-Formation-of-Forms_2011.pdf

Iconic Arithmetic: Simple Sensual Postsymbolic

THE DESIGN OF MATHEMATICS FOR HUMAN UNDERSTANDING

William Bricken,Ph.D.

Catjects

Dirk Baecker

Universität Witten/Herdecke

dirk.baecker@uni-wh.de

https://osf.io/preprints/socarxiv/73mht/

Some-thing from No-thing: G. Spencer-brown’s Laws of Form

Roth, S., Heidingsfelder, M., Clausen, L. and Laursen, K.B. (2021), “Editorial Note”, 

Roth, S.Heidingsfelder, M.Clausen, L. and Laursen, K.B. (Ed.) George Spencer Brown’s “Design with the NOR”: With Related Essays, Emerald Publishing Limited, Bingley, pp. 1-5. 

https://doi.org/10.1108/978-1-83982-610-820211001

A Sociological Reading of George Spencer-Brown’s Laws of Form

Baecker, Dirk,

(January 4, 2021).

Louis H Kauffman, Andrew Compton, Leon Conrad, Fred Cummins, Randolph Dible, Graham Ellsbury, and Florian Grote (eds.), Laws of Form – A Fiftieth Anniversary,

Available at SSRN: https://ssrn.com/abstract=3678663 or http://dx.doi.org/10.2139/ssrn.3678663

Descriptions as Distinctions George Spencer Brown’s Calculus of Indications as a Basis for Mitterer’s Non-dualistic Descriptions

March 2013

Constructivist Foundations 8(2):202-209
Authors: Patricia Ene

https://www.researchgate.net/publication/292484884_Descriptions_as_Distinctions_George_Spencer_Brown%27s_Calculus_of_Indications_as_a_Basis_for_Mitterer%27s_Non-dualistic_Descriptions

Mathematics and Models for Autopoiesis

John Mingers 1995

In: Self-Producing Systems. Contemporary Systems Thinking. Springer, Boston, MA.

https://doi.org/10.1007/978-1-4899-1022-6_4

https://link.springer.com/chapter/10.1007/978-1-4899-1022-6_4

Lecture by Louis Kauffman on work of F Varela

Mind and Life Europe

2021

Life and Work of Francisco Varela: Amy Cohen Varela | Ouroboros Seminars 2021 | Varela 20/30

Mind and Life Europe

Playlist 1 of 14

On the application of the Calculus of Indications (George Spencer-Brown)

Leon Conrad

Laws of Form Course – An Introduction to George Spencer-Brown’s ‘Laws of Form’

Leon Conrad

Playlist of 18 Videos

Live webinar with the Dalai Lama: “Dialogue for a Better World – Remembering Francisco Varela”

Mind and Life Europe

2022

Keynote: Explorations in Laws of Form — Louis H Kauffman

Kunstforum Den Haag

An Ontological Interpretation of Laws of Form — Randolph Dible

Spencer-Brown Form

https://mathworld.wolfram.com/Spencer-BrownForm.html

Laws of Form – An Exploration in Mathematics and Foundations

by Louis H. Kauffman UIC

Click to access Laws.pdf

George Spencer Brown

https://www.uboeschenstein.ch/texte/spencer-brown.html

George Spencer Brown’s “Design with the NOR”: With Related Essays

Edited by
PROF STEFFEN ROTH
La Rochelle Business School, France

University of Turku, Finland

PROF MARKUS HEIDINGSFELDER
Xiamen University Malaysia, Malaysia

MR LARS CLAUSEN
UCL University College, Denmark

University of Flensburg, Germany

DR KLAUS BRØND LAURSEN
University of Aarhus, Denmark

2021

https://www.emerald.com/insight/content/doi/10.1108/978-1-83982-610-820211013/full/pdf?title=prelims

A Calculus of Negation in Communication

Dirk Baecker

Cybernetics and Human Knowing. Vol. 24 (2017), nos. 3-4, pp. 17-27

Distinction and the Foundations of Arithmetic

Thomas J. McFarlane 
thomasmc@stanfordalumni.org
December 2001
First revision October 2007
Second revision March 2011

http://www.integralscience.org/lot.html

THE ARITHMETIC AND ALGEBRA OF GEORGE SPENCER-BROWN

R.W. SHARPE

The Mathematics of Charles Sanders Peirce

Louis H. Kauffman

Cybernetics & Human Knowing, Vol.8, no.1–2, 2001, pp. 79–110

Click to access CHK.pdf

Foreword: Laws of Form

Louis H. Kauffman

Cybernetics and Human Knowing. Vol. 24 (2017), nos. 3-4, pp. 5-15

Peirce and Spencer-Brown: History and Synergies in Cybersemiotics


Louis H. Kauffman, Soren Brier
Imprint Academic, 2007

The Mathematics of Boundaries: A Beginning

William Bricken

william@wbricken.com

In: Barker-Plummer, D., Cox, R., Swoboda, N. (eds) Diagrammatic Representation and Inference. Diagrams 2006. Lecture Notes in Computer Science(), vol 4045. Springer, Berlin, Heidelberg.

https://doi.org/10.1007/11783183_8

Click to access 05-pubs.pdf

https://link.springer.com/chapter/10.1007/11783183_8

Syntactic Variety in Boundary Logic

William Bricken

Click to access 01syntactic-variety.pdf

Laws of Form: A Fiftieth Anniversary (Hardcover)

By Louis H. Kauffman (Editor), Fred Cummins (Editor), Randolph Dible (Editor)

https://www.booksonb.com/book/9789811247422

Form and Medium: A Mathematical Reconstruction

Author: Michael Schiltz

Date published: August 2003

http://www.imageandnarrative.be/inarchive/mediumtheory/michaelschiltz.htm

System as Difference

Niklas Luhmann

Logical Graphs

https://oeis.org/wiki/Logical_Graphs

On the Curious Calculi of Wittgenstein and Spencer Brown

Authors
Gregory Landini
University of Iowa
DOI: https://doi.org/10.15173/jhap.v6i10.3400

JHAP Vol. 6 No. 10 (2018)

https://jhaponline.org/jhap/article/view/3400

Additional Resources

Source: A CALCULUS FOR SELF-REFERENCE

(2002) Book reviews and abstractsInternational Journal of General Systems 31:1, pages 97-110. 

Christian Borch. (2000) Former, der kommer i form—om Luhmann og Spencer-BrownDistinktion: Journal of Social Theory 1:1, pages 105-122. 

Cliff Joslyn. (1995) Semantic control systemsWorld Futures 45:1-4, pages 87-123. 

TAKUHEI SHIMOGAWA, YASUHIKO TAKAHARA. (1994) RECONSTRUCTION OF G. SPENCER BROWN’S THEMEInternational Journal of General Systems 23:1, pages 1-21. 

Gary C. Berkowitz, David R. Greenberg, Charles A. White. (1991) MULTIPLICITY AND INDETERMINACY IN THE DYNAMICS OF FORMAL INDICATIONAL AUTOMATACybernetics and Systems 22:3, pages 237-263. 

Gary C. Berkowitz, David R. Greenberg, Charles A. White. (1988) AN APPROACH TO A MATHEMATICS OF PHENOMENA: CANONICAL ASPECTS OF REENTRANT FORM EIGENBEHAVIOR IN THE EXTENDED CALCULUS OF INDICATIONSCybernetics and Systems 19:2, pages 123-167. 

PETER TURNEY. (1986) LAWS OF FORM AND FINITE AUTOMATAInternational Journal of General Systems 12:4, pages 307-318. 

(1982) Letters to the EditorInternational Journal of General Systems 8:3, pages 181-181. 

LOUIS H. KAUFFMAN, DAVID M. SOLZMAN. (1981) Letter to the EditorInternational Journal of General Systems 7:4, pages 257-259. 

GERRIT BROEKSTRA. (1981) C-ANALYSIS OF C-STRUCTURES: REPRESENTATION AND EVALUATION OF RECONSTRUCTION HYPOTHESES BY INFORMATION MEASURES†‡International Journal of General Systems 7:1, pages 33-61. 

DANIEL G. SCHWARTZ. (1981) ISOMORPHISMS OF SPENCER-BROWN’S LAWS OF FORM AND VARELA’S CALCULUS FOR SELF-REFERENCEInternational Journal of General Systems 6:4, pages 239-255. 

Julia T. Wood, W. Barnett Pearce. (1980) Sexists, racists, and other classes of classifiers: Form and function of “…Ist” accusationsQuarterly Journal of Speech 66:3, pages 239-250. 

GORDON PASK. (1979) CONSCIOUSNESSJournal of Cybernetics 9:3, pages 211-258. 

PAUL CULL, WILLIAM FRANK. (1979) FLAWS OF FORMInternational Journal of General Systems 5:4, pages 201-211. 

CLAUDE FAUCHEUX, SPYROS MAKRIDAKIS. (1979) AUTOMATION OR AUTONOMY IN ORGANIZATIONAL DESIGNInternational Journal of General Systems 5:4, pages 213-220. 

LOUIS H. KAUFFMAN. (1978) NETWORK SYNTHESIS AND VARELA’S CALCULUSInternational Journal of General Systems4:3, pages 179-187. 

ROBERT A. ORCHARD. (1975) ON THE LAWS OF FORMInternational Journal of General Systems 2:2, pages 99-106. 

ROBERT A. ORCHARD. (1975) ON THE LAWS OF FORMInternational Journal of General Systems 2:1, pages 99-106. 

Articles from other publishers

Jorge Soto-Andrade, Daniela Díaz-Rojas, Amaranta Valdés-Zorrilla. (2022) Embodiment and metaphorising in the learning of mathematics. IOP Conference Series: Materials Science and Engineering 1261:1, pages 012021. 
Crossref

Edgar Morin. 2022. Evolutionary Creativity. Self-Organization as a New Paradigm in Evolutionary Biology, pages 359-393. 

Shaun Gallagher. 2022. Phenomenological Methods and some Retooling. Phenomenology, pages 31-52. 

Maurice Yolles, B. Roy Frieden. (2021) Autopoiesis and Its Efficacy—A Metacybernetic View. Systems 9:4, pages 75. 
Crossref

Niklas Luhmann. (2021) Die Welt der Kunst: Formen der Spezifikation des Beobachtens. Soziale Systeme 24:1-2, pages 232-265. 
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Niklas Luhmann. (2021) Die soziologische Beobachtung der Theorie und der Praxis des Rechts. Soziale Systeme 24:1-2, pages 157-175. 
Crossref

Pieter Vanden Broeck. (2021) Education in world society: A matter of form. European Educational Research Journal20:6, pages 791-805. 
Crossref

Stuart Kauffman, Andrea Roli. (2021) The World Is Not a Theorem. Entropy 23:11, pages 1467. 
Crossref

Skyler Perkins, Anika Jessup. (2021) Cybernetics, design and regenerative economics. Technoetic Arts 19:1-2, pages 123-137. 
Crossref

Giancarlo Corsi. 2021. Die Einheit als Unterschied. Schlüsselwerke der Systemtheorie, pages 193-200. 

Maren Lehmann. 2021. Kognition, heterodox. Schlüsselwerke der Systemtheorie, pages 233-240. 

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Dialogs and Dialectics

Dialogs and Dialectics

Hegel once described dialectics as “the grasping of opposites in their unity”.[1] Oppositions, it can be argued, provide the comparisons that make our experiences intelligible. Our understanding of the world is predicated on differentiation and comparison. We must compare this to that to know the identity of either or to assign relative value to both. This or that, and the excluded middle between… but what of the unbounded space beyond as well; beyond the binary oppositions, beyond the laws of non-contradiction, beyond the affordances and constraints of this or that?

“Scenarios are not seen as quasi-forecasts but as perception devices.” “Scenarios are used as a means of thinking through strategy against a number of structurally quite different, but plausible future models of the world”.
Kees van der Heijden

Definition of Dialectics

Source: Introduction/Dialectics for the New Century

Is a brief definition of ‘dialectics’ possible? In the history of Western thought the term has meant quite different things in different contexts. Dialectics in the Western tradition is customarily said to begin with Heraclitus. He insisted that the cosmos was in endless flux, in contrast to those for whom ‘true’ reality was immutable. For Socrates, dialectic had less to do with the dynamism of the cosmos than with the dynamism of intellectual discussion when pushed forward by challenges to the underlying assumptions of interlocutors. Aristotle then systematized Socratic dialectic, treating it as a form of argument that fell some- where between rhetoric and logic. While dialectical speech, like rhetoric, aimed at persuasion, Aristotle believed its efforts to overcome disagreements through rational discussion made it more like logic. Unlike logical argumentation, however, dialectical speech does not derive necessary consequences from universally accepted premises. Instead, by revealing the contradictions in particular arguments, it forces their modification or even abandonment, and moves the contending parties closer to a rational consensus. This notion of dialectics continued to hold sway in Western philosophy throughout the medieval and early modern periods.

A major shift occurred with Kant. For him, ‘dialectics’ does not refer to a process by which discussions can advance toward rational agreement, but to the frustrating and inclusive results that arise whenever reason transgresses its proper limits by attempting to investigate the ultimate nature of things. In Kant’s philosophy, dialectics becomes an endless series of debates in which each side reveals the contradictions of the other without being able to resolve its own. Following Kant, Hegel concedes that as long as contending positions are taken as complete and independent in themselves, the opposition between them is irresolvable. But why, Hegel asks, must we take the opposed positions as complete and independent? Why choose, for example, between ‘freedom’ and ‘necessity’? Another, far better option is available: to recognize that the apparently opposed positions only offer one-sided accounts of a complex reality. ‘Truth is the whole,’ he famously claims, and to be adequately comprehended we must find a place in our thinking for all these partial and one-sided truths. The key to Hegel’s notion of dialectic is the movement to a positive result in which previously antagonistic positions are reconciled within a higher-order framework (Pinkard, 1987). His Science of Logic is an unprecedented and unrepeatable attempt to show that all the fundamental categories of Western philosophy can be fit together in one coherent whole – once, that is, the contradictions which arise when they are taken as independent standpoints are rigorously confronted and resolved. In The Philosophy of Right Hegel attempted to show that neither a one-sided emphasis on the autonomous subjectivity of individual agents, nor a one-sided emphasis on the priority of the community over the individual, can adequately comprehend the reconciliation of both ‘principles’ found in the social and political institutions of modern society.

Key Terms

  • Plato’s Dialogues
  • Dialectic
  • Relational Dialectic
  • Hegel’s Dialectics
  • Marx’s Dialectics
  • Vygotskian Dialectics
  • Bakhtinian Dialogics
  • Contradictions
  • Relational process philosophy
  • Strategy
  • Development
  • Transformation
  • Constitutive relationships
  • Interaction
  • Multiple systems
  • Open systems
  • Metasystematic
  • Epistemic adequacy
  • Dialectical thinking
  • Dialectical philosophical perspective
  • Dialectical analysis
  • Psychotherapy
  • Higher education
  • AQAL Model of Ken Wilber
  • Quadrants in Scenario Planning
  • Possibilities
  • Uncertainty
  • Weak Signals
  • Constitutive and Interactive relationships
  • Dialectic Behavior Therapy DBT
  • Contradictions
  • Point of Views
  • Multiple Perspectives
  • Worldviews
  • Paradoxes
  • Complexity
  • Parts and Whole
  • Piaget
  • Oppositions
  • Informal Logic
  • Dialogue and Dialectics
  • Relational Dialectic
  • L S Vygotsky
  • Mikhail Bakhtin
  • Monologue
  • Discourse
  • Drama
  • Ensemble Theory

What is dialogue?

Source: Relating dialogue and dialectics: a philosophical perspective

Dialogue in different forms (political, philosophical, and dramatic) historically emerged in Ancient Greece in the context of the polis as a community of actively participating citizens (Dafermos, 2013a). Plato’s dialogues, the first written dialogical accounts in human history were formed in the context of ancient polis.

After a long eclipse in the history of human thought dialogue was reborn in the twentieth century in the writings of Russian literary theorist and philosopher Mikhail Bakhtin. He developed a multifaceted theory of dialogism based on a set of concepts such as dialogue, monologue, polyphony, heteroglossia, utterance, voice, speech genres and chronotope. Bakhtin’s writings inspired many scholars and practitioners to elaborate and apply various dialogical approaches in pedagogy (Matusov, 2009; Matusov, & Miyazaki, 2014), psychology (Shotter, 1995; Hermans, & Kempen, 1993), psychotherapy (Seikkula, 2011; Hermans, & Dimaggio, 2004) and cultural studies (Wertsch, 1993; Thornton, 1994).

One of the reasons for the apparent confusion in the emerging interdisciplinary field of dialogical studies is connected with the polysemy of the notion of dialogue and the multiple meanings of its use in different contexts. I will attempt to define several meanings of the term ‘dialogue’. In accordance with a first definition, dialogue is a live conversation between two or more people. In other words, dialogue can be identified with oral communication between two or more interlocutors. Being with other people and responding to their voices is an essential feature of a conversation. However, a difficult question at once arises whether dialogue is every form of conversation or a specific type of deep communication between different subjectivities. Nikulin (2010) defined four components that turn a conversation into a dialogue: a. the existence of personal other, b. voice, c. unfinalizability, d. allosensus (constant disagreement with other).

The second meaning of the term ‘dialogue’ refers to dialogue as a genre or literary device. Plato’s dialogues are one of the most famous forms of using a dialogical form as a genre. Plato’s written dialogues historically appeared as an imitation of oral communication in times of heated debates about the transition from oral to written communication. Dialogue as a genre has been used by many thinkers to formulate their ideas in various ways. However, the dialogical genre might be used as an external form for monological content. For exampledialogue might be used as a teaching method of catechesisIt refers to an instrumental approach to dialogue that tends to be considered as an “an effective means for non- dialogic ends, which are understood outside of the notion of dialogue, within a monological framework” (Matusov, & Miyazaki, 2014, p.2). However, if there is a perfect, final and absolute truth as in catechesis, there is no place and need for genuine dialogue.

In accordance with a third meaning, “…dialogue is the universal condition of using language at all” (Womack, 2011, p.48). From this perspective both oral and written speech, moreover, language itself has a dialogical character. Language can be considered mainly as an intersubjective communicative engagement, rather than a simple, formal, symbolic system.

Bakhtin offered a classic formulation of the dialogic nature of consciousness that can be regarded as the fourth meaning of the dialogue which goes beyond purely linguistic or literary phenomena: “I am conscious of myself and become myself only while revealing myself for another, through another, and with the help of another. The most important acts constituting self-consciousness are determined by a relationship toward another consciousness (toward a thou) … The very being of man (both external and internal) is the deepest communion. To be means to communicate … To be means to be for another, and through the other for oneself” (Bakhtin, 1981, p.287).

Dialogue is an essential characteristic of consciousness. The word ‘consciousness’ originates from the Latin ‘conscius’ (con- ‘together’ + scientia- ‘to know’). ‘Conscious’ means sharing knowledge. Toulmin (1982) offers a brilliant interpretation of the etymology of the term ‘consciousness:

“Etymologically, of course, the term ‘consciousness’ is a knowledge word. This is evidenced by the Latin form, –sci-, in the middle of the word. But what are we to make of the prefix con– that precedes it? Look at the usage in Roman Law, and the answer will be easy enough. Two or more agents who act jointly—having formed a common intention, framed a shared plan, and concerted their actions—are as a result conscientes. They act as they do knowing one another’s plans: they are jointly knowing” (Toulmin, 1982, p. 64).

In Latin “to be conscious of something was to share knowledge of it, with someone else, or with oneself” (Zeman, 2001, p.1265). “When two or more men know of one and the same fact, they are said to be conscious of it one to another” (Hobbes, 1660, Leviathan, chapt. VII). However, the predominant use of the term ‘consciousness’ is connected with John Locke’s definition: “Consciousness is the perception of what passes in a man’s own mind” (Locke, 1690, Essay Concerning Human Understanding, II, i, 19). It refers to ‘inner perceptions’ that are conceived by an individual. The understanding of consciousness as a private, internal awareness became dominant in contemporary scientific literature.

However, it is interesting to note that the term ‘consciousness’ has similar etymology in different languages: In Russian ‘Сознание’ (Со-знание), in Greek ‘συνείδηση’ (συν- ειδέναι), in English ‘Con- scientia,’ in French ‘Conscience’ (Con-science), in Italian ‘Coscienza’ (Co-scienza). The prefix ‘co’ refers to joint action, reciprocal interaction between people. The concept of ‘consciousness’ includes knowledge as its essential moment. However, consciousness is not reducible to simple knowledge but it refers to co- producing knowledge in the process of communication between different subjects. It refers to joining knowledge with another or shared knowledge. From this perspective, consciousness has dialogic structure and orientation.

The understanding of the dialogic nature of consciousness enables the demonstration of the mirrors of cognitivism and scientism. One of the most powerful objections to cognitivism has been formulated by Michael Bakhtin: “Truth is not born nor is it to be found inside the head of an individual person, it is born between people collectively searching for truth, in the process of their dialogic interaction” (Bakhtin, 1984, p. 110).

Dialogue has been defined by Bakhtin as opposed to monologism. Individual consciousness cannot grasp the complexity and variety of the human world. In contrast to the single, isolated, monological consciousness, a dialogical coexistence of different irreducible consciousnesses develops. Bakhtin argued that the idea is not developed in isolated individual consciousness but in dialogic communication between several consciousnesses. “…the idea is inter-individual and inter-subjective – the realm of its existence is not individual consciousness but dialogic communion between consciousnesses. The idea is a live event, played out at the point of dialogic meeting between two or several consciousnesses” (Bakhtin, 2003, p.98). The meeting spaces and dramatic processes of making meaning between different and not reducible consciousnesses constitute the ontological foundation of dialogue. The “ontological dialogue” (Sidorkin, 1999; Matusov, & Miyazaki, 2014) between consciousnesses penetrates the deeper and most important aspects of human existence.

Although dialogue has been defined as being contrary to monologue, the consideration of dialogue as a positive and monologue as a negative term leads inevitably to oversimplification of dialectic relationships between them. I totally agree with Matusov’s position that “Bakhtin’s notions of dialogue and monologue is complementary” (Matusov, 2009, p.112). Matusov argues that the concepts of dialogicity and monologicity mutually constitute each other. “Monologicity makes clear who is speaking (i.e., authorship and responsibility) and what is said (i.e., the message). In other words, monologicity objectivizes others and the themes of communication… Monologicity reflects centripetal forces of language, communication, and community oriented on centralization, unification, unity with action, seriousness, cohesiveness and integrity of voice (and position), articulateness, globalization, decontextualization, exactness and correctness of meaning (finalizing the meaning)” (Matusov, 2009, p. 131).

However, many Bakhtinian scholars tend to interpret the concepts ‘dialogue-monologue’ in terms of Western post-modernism such as ‘the death of author’ (more generally, the ‘death of subject’), ‘deconstruction,’ ‘decentration,’ ‘intertextuality’ (Bell, & Gardiner, 1998; Holquist, 2002). From the perspective of post-modernism, monologue is defined as a ‘grand narrative’ that should be ‘killed’ and ‘destroyed’. With the total ‘death of monologue’ any claims for ‘seriousness,’ ‘cohesiveness,’ ‘integrity of voice (and position),’ ‘articulateness’ and ‘correctness of meaning’ might disappear. The celebration of post-modern, deconstructionist discourse tends to lead to the deconstruction not only of ‘old’ metaphysics and ‘grand’ monologic narratives, but also of scientific thinking and knowledge itself. “…the deconstruction of metaphysics is the deconstruction of the scientificity of science. The deconstructive strategy aims at the very source of science itself, at the kind of question that gives rise to scientific investigation” (Evans, 1999, p.156).

It could be argued that the destruction of reason itself may give rise to a new form of irrationalism. Based on the analysis of post-Hegelian philosophical tradition, Lukács (1954) demonstrated that the destruction of reason and the advent of irrationalism prepared the ground for fascist ideas.

What is dialectics?

Source: Relating dialogue and dialectics: a philosophical perspective

The concept ‘dialectics’ has acquired different forms and meanings in various historical contexts. In ancient Greece dialectics emerged as an art of dialogue and a problem solving method through argumentation. The term ‘dialectics’ has a similar origin of the term ‘dialogue’. It refers to the art of conversation or debate that is connected with seeking truth through reasoning. “… someone tries, by means of dialectical discussion and without the aid of any sense-perceptions, to arrive through reason at the being of each thing itself” (Plato, 2004, Republic, 532a). By the power of discussions, dialectics provides genuine knowledge. Dialectics as a method originates from the Socratic elenchus, a method of hypothesis elimination that takes the form of a question-answer dialogue and brings out the contradictions in the interlocutor’s arguments.

Dialectics constitutes a way of thinking based on the understanding of the contradictory nature of both reason and being. Naive, spontaneous dialectics had been developed by ancient thinkers as an attempt to offer a living, sensory concrete perception of the world in the process of its change and becoming. “Tao-Te-Ching” in Ancient China as well as Heraclitus’ philosophy in Ancient Greece were forms of ancient spontaneous dialectics that were expressed in the idea that “everything is in a state of flux” (Skirbekk, & Gilje, 2001, p.13). Although Heraclitus didn’t use the term ‘dialectic,’ he developed a dialectical understanding that everything is becoming. However, a conceptual, categorical system for the representation of things as processes did not yet exist in the ancient world. Becoming is expressed through metaphors, images of an aesthetic equivalent such as the image of a river: “you cannot step into the same river twice” (Plato, 1997, Cratylus, 402a).

The meaning of the concept ‘dialectics’ was transformed by Aristotle. For Aristotle dialectic wasn’t a form of being but rather a method of logical argumentation. Moreover, dialectic broke down its interconnection with dialogue and became mainly a method of building knowledge. In the Middle Ages dialectic was constructed as a method of argumentation on the basis of a set of logical rules (Nikulin, 2010).

During the seventeenth and eighteenth centuries an analytic method of knowledge production dominated in concrete sciences and a metaphysical mode of thinking in the field of philosophy (Pavlidis, 2010). The metaphysical mode of thinking is based on the consideration of reality as a sum of separated, unconnected independent entities. A metaphysical outlook considers things as self-subsistent, isolated and abstracted from their context (Sayers, 1976). It denies fundamentally both the internal relatedness of all things and their development.

The concept of ‘dialectic’ was reborn and acquired new meanings and connotations in the context of German classical philosophy from Kant to Hegel and later in Marxism. Kant proposed “transcendental dialectic” as the logic of errors and illusions that arise when reason goes beyond its proper role in attempting to grasp the actual objects themselves (the thing-in-itself) (Williams, 2014). Kant demonstrated the structural necessity and inevitability of illusions. According to Kant, thinking confronts antinomies and falls into conflict with itself. Challenging Kant’s concept of dialectic as a logic of illusions, Hegel developed a “positive” dialectic based on the examination of a universal as a concrete unity of multiple determinations (Hegel, 2010). Dialectics was developed by Hegel as a method of thought that included the process of expounding contradictions and their resolution in the corpus of a rational understanding of an object (Ilyenkov, 1977). Materialistic dialectics developed by K. Marx as an attempt of the theoretical reconstruction of a concrete organic whole (the capitalist mode of production) through the creation of a system of interconnected concepts.

The conscious (or systematic) dialectics stood against the metaphysical method of thinking. Dialectics and metaphysics constitute two different ways of thinking about thinking. In contrast to the metaphysical method based on one-dimensional, abstract analysis of an object and its elements as unchanging and immutable, dialectical thinking examines an object in the process of its change. The dialectical method focuses on the examination of things in their mutual connections, movement and development. Dialectics as a way of thinking grasps and represents the developmental process of a concrete object in its interconnections with other objects (Pavlidis, 2010).

In the late 19th century and early 20th century the tendency of the rejection of dialectic and the acceptance of other trends such as Kantianism, philosophy of life and positivism became dominant in Western academy. The bulk of research for a long period in the Western academy was primarily associated with the assumptions of positivism and reductionism. In contrast to widespread reductionism in concrete disciplines which focuses on analysis of isolated elements of reality, the dialectic approach is oriented to grasp full complexity of interrelationships of reality and the contradictions that embody them (Bidell, 1988). The famous formula ‘thesis-antithesis-synthesis’ represents a very schematic and over simplistic description of the dialectical understanding of development. Such kind of caricatured representation of dialectics can give rise to the negative stance (or total rejection) of dialectical thinking. Laske (2009) argues that the dialectical mode of thinking “remains a closed book for the majority of adults in the Western world, while in Asian cultures nurtured by Buddhism it more easily assumes a common sense form” (Laske, 2009). Although the explanation of the negative stance toward a dialectical mode of thinking is out of scope of the present paper, I would like only to note that the increasing individualization, fragmentation and commercialization of social life in North America and Western Europe is not unconnected to a lack of understanding of dialectic at the level of everyday life.

The multiple crises (economic, political, ecological and scientific) as a result of the increasing social contradictions and asymmetries in a rapidly changing world may provoke interest in dialectics as a way of the conceptualization of contradictions. However, dialectics is not a given system of postulates that can be immediately applied as an external guiding system for investigating problems. The application of dialectics to the concrete fields presupposes its essential development. The question of how to further develop dialectics in a rapidly changing world remains open for future investigation.

Interconnection between consciousness and knowledge

Source: Relating dialogue and dialectics: a philosophical perspective

Dialectics and dialogue constitute two distinct traditions and each of them has its own logic of development in the history of human thought. Nevertheless, there was not an absolute gap between these traditions and it is possible to find complex relationships between them.

Traditionally, dialectics has been conceived as a mode of thinking connected with a concrete form of knowledge production. “…modern dialectic still tends to become the organon of thinking…” (Nikulin, 2010, p.71). Dialogue, on the other hand, has been traditionally conceptualized as a particular type of communication that creates shared meanings between different subjects. The concept of dialogue is more connected with the communication between consciousnesses rather than with knowledge production. However, there is not a gap between consciousness and knowledge. Dialectic connections develop in the interspace between consciousness and knowledge. On one side, consciousness includes knowledge as one of its moments. On the other side, reflective thinking has been involved in the dialogic communication between different subjects. Thus, thinking is not a solitary activity of a purely autonomous subject but a dialogical act, unfolding between different subjects. The knowledge representation of an object is socially mediated and the path to knowledge passes through relationships between subjects. Knowing with the other evidences the dialogical quality of consciousness (Shotter, 2006).

The investigation of developing interrelations between thinking and speech was examined by Vygotsky (1987) as the key to understanding the nature of human consciousness. The analysis of the internal relations between thinking and speaking as sides of human consciousness constitutes one of the most important foundations for linking dialectics and dialogue. Vygotsky (1987) addressed this crucial issue from a psychological perspective, but it remains under-investigatedHowever, it is worth emphasizing that dialectical thinking is a specific type of thinking that develops at a concrete stage of the process of historical development of human consciousness. Dialectical thinking offers the opportunity to overcome widespread positivism and reductionism in science (Ilyenkov, 1982a, 1982b; Dafermos, 2014).

In contrast to monologism, the dominant ‘paradigm’ in social and human sciences, Bakhtin revealed not only the dialogic nature of consciousness but also the perspective of conceptualization of thinking as a dialogue. “This mode of thinking makes available those sides of a human being, and above all the thinking human consciousness and the dialogic sphere of its existence, which are not subject to artistic assimilation from monologic positions” (Bakhtin, 1984, p.270). Dialogue was portrayed by Bakhtin as a unique meeting between several consciousnesses in a concrete moment of a historical and cultural chronotope.

Bringing together dialectics and dialogue, Feuerbach pointed out that “The true dialectic is not a monologue of the solitary thinker with himself. It is a dialogue between “I” and “You” (Feuerbach, 1843). Criticizing Hegelian philosophy, Feuerbach demonstrated the shortcomings of a pure speculation, which a single thinker carries on by or with himself, and subsequently, he focused on dialogue between “I” and “You” as sensuous and concrete human beings. It is worth mentioning that Feuerbach’s ideas on dialogue inspired Vygotsky to develop his theory of social education in the field of defectology: “Only social education can lead severely retarded children through the process of becoming human by eliminating the solitude of idiocy and severe retardation. L. Feuerbach’s wonderful phrase, might be taken as the motto to the study of development in abnormal children: ‘That which is impossible for one, is possible for two.’ Let us add: That which is impossible on the level of individual development becomes possible on the level of social development” (Vygotsky, 1993, pp. 218-219).

Development

Source: Relating dialogue and dialectics: a philosophical perspective

Contrary to the view about an absolute gap between a dialogical approach and a dialectical concept of development, it is possible to find in Bakhtin’s writings some ideas that seem unpredictably closer to dialectical understanding than to postmodernist celebration of the fragmentation of culture. “The study of culture (or some area of it) at the level of system and at the higher level of organic unity: open, becoming, unresolved and unpredetermined, capable of death and renewal, transcending itself, that is, exceeding its own boundaries” (Bakhtin, 1986a, p.135). Bakhtin’s idea of an open, developing organic unity is a truly dialectical insight in the theorizing of human sciences. The contradictory coexistence of ‘death’ and ‘rebirth’ constitutes a moment of a dialectical understanding of culture. I don’t claim that Bakhtin was a dialectical theorist, but only that it is possible to find influences of dialectics in his writings. In other words, there is no absolute gap or a rupture between dialogic and dialectic traditions but paradoxically, a dramatic relation between them might be detected.

From a developmental perspective, dialogue cannot be reduced to a simple communicative interaction or a conversation. Not every communicative interaction or conversation promotes human development. Dialogue is such a conversation that does promote human development. Dramatic tensions and collisions in a dialogue might become a source of personal growth for their participants. In other words, dialogue opens up the perspective of personal growth for subjects engaged in it (Apatow, 1998). “…the discursive dynamics has as its central question the ways to critically negotiate/collaborate meanings, highlighting the contradiction as a driving force for the development between participants with different social, historical, cultural and political constitutions” (Magalhães, Ninin, & Lessa, 2014, p.142).

Explaining the deep meaning of the general genetic law of cultural development as it was formulated by Vygotsky, Veresov notes: “Dramatic character development, development through contradictory events (acts of development), category (dramatic collision) — this was Vygotsky’s formulation and emphasis” (Veresov, 2010, p.88). The dramatic collision, conflicts and contradictory relations that emerge in a dialogue as they are experienced by its participants may promote their self reflection and personal growth.

The dialectic of change constitutes an essential dimension of a dialogue. “…neither a first nor a last word and there are no limits to the dialogic context (it extends into the boundless past and the boundless future). Even past meanings, that is, those born in the dialogue of past centuries, can never be stable (finalized, ended once and for all) – they will always change (be renewed) in the process of subsequent development of the dialogue” (Bakhtin, 1986a, p.170).

Dialectics encountered: the origins of great strategies

Source: Strategy and dialectics: Rejuvenating a long-standing relationship

A group of strategy scholars recently joined to explore the origins of great strategies—a question infused with theoretical and practical significance (Gavetti and Porac, 2018). While not claiming to capture the field’s diversity in its entirety, the set of papers compiled represents a wide range of perspectives on strategy. As they traced the evolution of firms, capabilities, strategies, and industries in contemporary business environments, authors have built on diverse literatures such as complexity theory, evolutionary theory, attention-based view, Weberian sociology, practice theory, institutional logics, relational contracts, social movements, behavioral strategy, and social networks, to name but a few. Curiously, none of the papers explicitly used the word “dialectics” or referred to dialectics as a guiding perspective.

For the more initiated, however, dialectics is highly present in this collection of readings. Dialectics ideas underlie several of the featured theories, particularly complexity theory, practice theory, institutional logics, social movements, and behavioral strategy. The different papers also employ several time-honored dialectics concepts. For instance, the notion of “creative destruction” (Podolny, 2018) has been inspired by Marx; the dialectics of “presence” and “absence” (Powell, 2018) features in Hegel’s writings. Key means for generating creative strategies— combination, contrast, constraint, and intersecting contexts (Brandenburger, 2017)—resonate with dialectics’ notions of synthesis, negation, contradiction, and overlap. Dialectics stress on conflict and opposition is echoed too: it features in the emergence of powerful strategies such as Apple’s, reflecting broader clash between the oppositional movements and cultures of personal and corporate computing (Rao and Datta, 2018); it is illustrated in the concept of Judo strategies in which firms turn their opponents’ strengths against them (Brandenburger, 2017). Finally, in line with dialectics stress on asynchrony as a stimulus for movement and development, effective strategies, such as used in the drone industry, successively built on disequilibria and bottlenecks (Eisenhardt and Bingham, 2017).

Process, conflict, contradiction, disequilibria, disruption, oppositions, and synthesis are dialectics’ stock in trade. These, and other dialectics’ notions, also bear on several of strategy’s core research streams: they inform the literature on innovation and technological change (Bodrožić and Adler, 2017; Schumpeter, 1942; Tushman and Nelson, 1990), the resource-based view of firm’s growth (Penrose, 1959; Vidal and Mitchel, 2018), and strategy-as-practice research (Jarzabkowski, 2003; Nicolini, 2012); they have also been incorporated into managerial tools such as scenario analysis, system dynamics, and red teams.

I submit that dialectics is more present in strategy that many realize and holds a great potential to become even more central to the field. Dialectics’ distinctive view on social processes and relations is particularly relevant for comprehending and navigating a world in flux, a welcome counterpart to more simplistic, reductionist, and binary models, and an alternative to views on strategy stressing equilibrium, linearity, and coherence. Dialectics holistic stance can serve to counteract the field’s notorious fragmentation (e.g. Durand et al., 2017; Hambrick, 2004). Moreover, dialectics’ philosophical foundations and its stress on critique and reconstruction makes it particularly attractive means for challenging established models, questioning existing ideologies and reconsidering alternatives.

To reassert dialectics in new, promising areas such as competitive advantage and shaping strategies (the “where”), strategy researchers first need to become more familiar with dialectics ideas (the “what”) and with potential ways they can be used (the “how”).

Dialectical Thinking

Source: John Rowan: Dialectical Thinking

Dialectics is a form of thought which goes back a long way. In the West, Heraclitus in Ancient Greece was aware of it, and in the East, there are a number of thinkers who practised it. The Tao-Te-Ching is a good example of dialectical writing.

Change

The first characteristic of dialectical thinking is that it places all the emphasis on change. Instead of talking about static structures, it talks about process and movement. Hence it is in line with all those philosophies which say – “Let’s not be deceived by what it is is now as we perceive it – let’s not pretend we can fix it and label it and turn it into something stiff and immutable – let’s look instead at how it changes.” Hence it denies much of the usefulness of formal logic, which starts from the proposition that “A is A,” and is nothing but A. For dialectics the corresponding proposition is “A is not simply A.” This is even true for things, but much more obviously true for people.

Conflict and Opposition

But the second characteristic, which sets it apart from any philosophy which emphasises smooth continuous change or progress, is that it states that the way change takes place is through conflict and opposition. Dialectics is always looking for the contradictions within people or situations as the main guide to what is going on and what is likely to happen. There are in fact three main propositions which are put forward about opposites and contradictions.

The interdependence of opposites

This is the easiest thing to see: opposites depend on one another. It wouldn’t make sense to talk about darkness if there were no such thing as light. I really start to understand my love at the moment when I permit myself up understand my hate. In practice, each member of a polar opposition seems to need the other to make it what it is.

The interpenetration of opposites

Here we see that opposites can be found within each other. Just because light is relative to darkness, there is some light in every darkness, and some darkness in every light. There is some hate in every love, and some love in every hate. If we look into one thing hard enough, we can always find its opposite right there. To see this frees us from the “either-or” which can be so oppressive and so stuck.

The unity of opposites

So far we have been talking about relative opposites. But dialectics goes on to say that if we take an opposite to its very ultimate extreme, and make it absolute, it actually turns into its opposite. Thus if we make darkness absolute, we are blind – we can’t see anything. And if we make light absolute, we are equally blind and unable to see. In psychology, the equivalent of this is to idealise something. So if we take love to its extreme, and idealise it, we get morbid dependence, where our whole existence depends completely on the other person. And if we take hate to its extreme, and idealise it, we get morbid counterdependence, where our whole existence again depends completely on the other person. This appreciation of paradox is one of the strengths of the dialectical approach, which makes it superior to linear logic.

A good symbol for these three processes is the Yin-Yang symbol of Taoism. The interdependence of opposites is shown in each half being defined by the contours of the other. The interpenetration of opposites is expressed by having a black spot in the innermost centre of the white area, and a white spot in the innermost centre of the black area. The unity of opposites is shown by the circle surrounding the symbol, which expresses total unity and unbroken serenity in and through all the seeming opposition. It is, after all, one symbol.

The lessons of the dialectic are hard ones. It tells us that any value we have, if held to in a one-sided way, will become an illusion. We shall try to take it as excluding its opposite, but really it will include it. And if we take it to its extreme, and idealise it, it will turn into its opposite. So peace and love, cosmic harmony, the pursuit of happiness and all the rest are doomed, if held to in this exclusive way.

The only values which will be truly stable and coherent are those which include opposition rather than excluding it. And all such values appear to be nonsense, because they must contain paradoxes. “Self-actualization” is one such value, because the concept of the self is self-contradictory, paradoxical and absurd. The self is intensely personal and completely impersonal at one and the same time. It is the lowest of the low and the highest of the high at the same time. And this is why, when we contact the self in a peak experience, our description of what happened is invariably a paradoxical one.

There is a logic of paradox, which enables the intellect to handle it without getting fazed, and its name is the dialectic. It is complex because it involves holding the spring doors of the mind open – hence it often tries to say everything at once. But it shows how we do not have to give up in the face of paradox and abandon the intellect as a hopeless case.

Hegel’s Dialectics

Source: https://plato.stanford.edu/entries/hegel-dialectics/

First published Fri Jun 3, 2016; substantive revision Fri Oct 2, 2020

“Dialectics” is a term used to describe a method of philosophical argument that involves some sort of contradictory process between opposing sides. In what is perhaps the most classic version of “dialectics”, the ancient Greek philosopher, Plato (see entry on Plato), for instance, presented his philosophical argument as a back-and-forth dialogue or debate, generally between the character of Socrates, on one side, and some person or group of people to whom Socrates was talking (his interlocutors), on the other. In the course of the dialogues, Socrates’ interlocutors propose definitions of philosophical concepts or express views that Socrates challenges or opposes. The back-and-forth debate between opposing sides produces a kind of linear progression or evolution in philosophical views or positions: as the dialogues go along, Socrates’ interlocutors change or refine their views in response to Socrates’ challenges and come to adopt more sophisticated views. The back-and-forth dialectic between Socrates and his interlocutors thus becomes Plato’s way of arguing against the earlier, less sophisticated views or positions and for the more sophisticated ones later.

“Hegel’s dialectics” refers to the particular dialectical method of argument employed by the 19th Century German philosopher, G.W.F. Hegel (see entry on Hegel), which, like other “dialectical” methods, relies on a contradictory process between opposing sides. Whereas Plato’s “opposing sides” were people (Socrates and his interlocutors), however, what the “opposing sides” are in Hegel’s work depends on the subject matter he discusses. In his work on logic, for instance, the “opposing sides” are different definitions of logical concepts that are opposed to one another. In the Phenomenology of Spirit, which presents Hegel’s epistemology or philosophy of knowledge, the “opposing sides” are different definitions of consciousness and of the object that consciousness is aware of or claims to know. As in Plato’s dialogues, a contradictory process between “opposing sides” in Hegel’s dialectics leads to a linear evolution or development from less sophisticated definitions or views to more sophisticated ones later. The dialectical process thus constitutes Hegel’s method for arguing against the earlier, less sophisticated definitions or views and for the more sophisticated ones later. Hegel regarded this dialectical method or “speculative mode of cognition” (PR §10) as the hallmark of his philosophy and used the same method in the Phenomenology of Spirit [PhG], as well as in all of the mature works he published later—the entire Encyclopaedia of Philosophical Sciences (including, as its first part, the “Lesser Logic” or the Encyclopaedia Logic [EL]), the Science of Logic [SL], and the Philosophy of Right[PR].

Note that, although Hegel acknowledged that his dialectical method was part of a philosophical tradition stretching back to Plato, he criticized Plato’s version of dialectics. He argued that Plato’s dialectics deals only with limited philosophical claims and is unable to get beyond skepticism or nothingness (SL-M 55–6; SL-dG 34–5; PR, Remark to §31). According to the logic of a traditional reductio ad absurdum argument, if the premises of an argument lead to a contradiction, we must conclude that the premises are false—which leaves us with no premises or with nothing. We must then wait around for new premises to spring up arbitrarily from somewhere else, and then see whether those new premises put us back into nothingness or emptiness once again, if they, too, lead to a contradiction. Because Hegel believed that reason necessarily generates contradictions, as we will see, he thought new premises will indeed produce further contradictions. As he puts the argument, then, 

the scepticism that ends up with the bare abstraction of nothingness or emptiness cannot get any further from there, but must wait to see whether something new comes along and what it is, in order to throw it too into the same empty abyss. (PhG-M §79) 

Hegel argues that, because Plato’s dialectics cannot get beyond arbitrariness and skepticism, it generates only approximate truths, and falls short of being a genuine science (SL-M 55–6; SL-dG 34–5; PR, Remark to §31; cf. EL Remark to §81). The following sections examine Hegel’s dialectics as well as these issues in more detail.


1. Hegel’s description of his dialectical method

Hegel provides the most extensive, general account of his dialectical method in Part I of his Encyclopaedia of Philosophical Sciences, which is often called the Encyclopaedia Logic [EL]. The form or presentation of logic, he says, has three sides or moments (EL §79). These sides are not parts of logic, but, rather, moments of “every concept”, as well as “of everything true in general” (EL Remark to §79; we will see why Hegel thought dialectics is in everything in section 3). The first moment—the moment of the understanding—is the moment of fixity, in which concepts or forms have a seemingly stable definition or determination (EL §80).

The second moment—the “dialectical” (EL §§79, 81) or “negatively rational” (EL §79) moment—is the moment of instability. In this moment, a one-sidedness or restrictedness (EL Remark to §81) in the determination from the moment of understanding comes to the fore, and the determination that was fixed in the first moment passes into its opposite (EL §81). Hegel describes this process as a process of “self-sublation” (EL §81). The English verb “to sublate” translates Hegel’s technical use of the German verb aufheben, which is a crucial concept in his dialectical method. Hegel says that aufheben has a doubled meaning: it means both to cancel (or negate) and to preserve at the same time (PhG §113; SL-M 107; SL-dG 81–2; cf. EL the Addition to §95). The moment of understanding sublates itself because its own character or nature—its one-sidedness or restrictedness—destabilizes its definition and leads it to pass into its opposite. The dialectical moment thus involves a process of self-sublation, or a process in which the determination from the moment of understanding sublates itself, or both cancels and preserves itself, as it pushes on to or passes into its opposite.

The third moment—the “speculative” or “positively rational” (EL §§79, 82) moment—grasps the unity of the opposition between the first two determinations, or is the positive result of the dissolution or transition of those determinations (EL §82 and Remark to §82). Here, Hegel rejects the traditional, reductio ad absurdum argument, which says that when the premises of an argument lead to a contradiction, then the premises must be discarded altogether, leaving nothing. As Hegel suggests in the Phenomenology, such an argument 

is just the skepticism which only ever sees pure nothingness in its result and abstracts from the fact that this nothingness is specifically the nothingness of that from which it results. (PhG-M §79) 

Although the speculative moment negates the contradiction, it is a determinate or defined nothingness because it is the result of a specific process. There is something particular about the determination in the moment of understanding—a specific weakness, or some specific aspect that was ignored in its one-sidedness or restrictedness—that leads it to fall apart in the dialectical moment. The speculative moment has a definition, determination or content because it grows out of and unifies the particular character of those earlier determinations, or is “a unity of distinct determinations” (EL Remark to §82). The speculative moment is thus “truly not empty, abstract nothing, but the negation of certain determinations” (EL-GSH §82). When the result “is taken as the result of that from which it emerges”, Hegel says, then it is “in fact, the true result; in that case it is itself a determinate nothingness, one which has a content” (PhG-M §79). As he also puts it, “the result is conceived as it is in truth, namely, as a determinate negation [bestimmteNegation]; a new form has thereby immediately arisen” (PhG-M §79). Or, as he says, “[b]ecause the result, the negation, is a determinate negation [bestimmte Negation], it has a content” (SL-dG 33; cf. SL-M 54). Hegel’s claim in both the Phenomenology and the Science of Logic that his philosophy relies on a process of “determinate negation [bestimmte Negation]” has sometimes led scholars to describe his dialectics as a method or doctrine of “determinate negation” (see entry on Hegel, section on Science of Logic; cf. Rosen 1982: 30; Stewart 1996, 2000: 41–3; Winfield 1990: 56).

There are several features of this account that Hegel thinks raise his dialectical method above the arbitrariness of Plato’s dialectics to the level of a genuine science. First, because the determinations in the moment of understanding sublate themselves, Hegel’s dialectics does not require some new idea to show up arbitrarily. Instead, the movement to new determinations is driven by the nature of the earlier determinations and so “comes about on its own accord” (PhG-P §79). Indeed, for Hegel, the movement is driven by necessity (see, e.g., EL Remarks to §§12, 42, 81, 87, 88; PhG §79). The natures of the determinations themselves drive or force them to pass into their opposites. This sense of necessity—the idea that the method involves being forced from earlier moments to later ones—leads Hegel to regard his dialectics as a kind of logic. As he says in the Phenomenology, the method’s “proper exposition belongs to logic” (PhG-M §48). Necessity—the sense of being driven or forced to conclusions—is the hallmark of “logic” in Western philosophy.

Second, because the form or determination that arises is the result of the self-sublation of the determination from the moment of understanding, there is no need for some new idea to show up from the outside. Instead, the transition to the new determination or form is necessitated by earlier moments and hence grows out of the process itself. Unlike in Plato’s arbitrary dialectics, then—which must wait around until some other idea comes in from the outside—in Hegel’s dialectics “nothing extraneous is introduced”, as he says (SL-M 54; cf. SL-dG 33). His dialectics is driven by the nature, immanence or “inwardness” of its own content (SL-M 54; cf. SL-dG 33; cf. PR §31). As he puts it, dialectics is “the principle through which alone immanent coherence and necessity enter into the content of science” (EL-GSH Remark to §81).

Third, because later determinations “sublate” earlier determinations, the earlier determinations are not completely cancelled or negated. On the contrary, the earlier determinations are preservedin the sense that they remain in effect within the later determinations. When Being-for-itself, for instance, is introduced in the logic as the first concept of ideality or universality and is defined by embracing a set of “something-others”, Being-for-itself replaces the something-others as the new concept, but those something-others remain active within the definition of the concept of Being-for-itself. The something-others must continue to do the work of picking out individual somethings before the concept of Being-for-itself can have its own definition as the concept that gathers them up. Being-for-itself replaces the something-others, but it also preserves them, because its definition still requires them to do their work of picking out individual somethings (EL §§95–6).

The concept of “apple”, for example, as a Being-for-itself, would be defined by gathering up individual “somethings” that are the same as one another (as apples). Each individual apple can be what it is (as an apple) only in relation to an “other” that is the same “something” that it is (i.e., an apple). That is the one-sidedness or restrictedness that leads each “something” to pass into its “other” or opposite. The “somethings” are thus both “something-others”. Moreover, their defining processes lead to an endless process of passing back and forth into one another: one “something” can be what it is (as an apple) only in relation to another “something” that is the same as it is, which, in turn, can be what it is (an apple) only in relation to the other “something” that is the same as it is, and so on, back and forth, endlessly (cf. EL §95). The concept of “apple”, as a Being-for-itself, stops that endless, passing-over process by embracing or including the individual something-others (the apples) in its content. It grasps or captures their character or quality as apples. But the “something-others” must do their work of picking out and separating those individual items (the apples) before the concept of “apple”—as the Being-for-itself—can gather them up for its own definition. We can picture the concept of Being-for-itself like this:an oval enclosing two circles, left and right; an arrow goes from the interior of each circle to the interior of the other. The oval has the statement 'Being-for-itself embraces the something-others in its content'. The circles have the statement 'the something-others'. The arrows have the statement 'the process of passing back-and-forth between the something-others'.

Figure 1

Later concepts thus replace, but also preserve, earlier concepts.

Fourth, later concepts both determine and also surpass the limits or finitude of earlier concepts. Earlier determinations sublate themselves—they pass into their others because of some weakness, one-sidedness or restrictedness in their own definitions. There are thus limitations in each of the determinations that lead them to pass into their opposites. As Hegel says, “that is what everything finite is: its own sublation” (EL-GSH Remark to §81). Later determinations define the finiteness of the earlier determinations. From the point of view of the concept of Being-for-itself, for instance, the concept of a “something-other” is limited or finite: although the something-others are supposed to be the same as one another, the character of their sameness (e.g., as apples) is captured only from above, by the higher-level, more universal concept of Being-for-itself. Being-for-itself reveals the limitations of the concept of a “something-other”. It also rises above those limitations, since it can do something that the concept of a something-other cannot do. Dialectics thus allows us to get beyond the finite to the universal. As Hegel puts it, “all genuine, nonexternal elevation above the finite is to be found in this principle [of dialectics]” (EL-GSH Remark to §81).

Fifth, because the determination in the speculative moment grasps the unity of the first two moments, Hegel’s dialectical method leads to concepts or forms that are increasingly comprehensive and universal. As Hegel puts it, the result of the dialectical process

is a new concept but one higher and richer than the preceding—richer because it negates or opposes the preceding and therefore contains it, and it contains even more than that, for it is the unity of itself and its opposite. (SL-dG 33; cf. SL-M 54) 

Like Being-for-itself, later concepts are more universal because they unify or are built out ofearlier determinations, and include those earlier determinations as part of their definitions. Indeed, many other concepts or determinations can also be depicted as literally surrounding earlier ones (cf. Maybee 2009: 73, 100, 112, 156, 193, 214, 221, 235, 458).

Finally, because the dialectical process leads to increasing comprehensiveness and universality, it ultimately produces a complete series, or drives “to completion” (SL-dG 33; cf. SL-M 54; PhG §79). Dialectics drives to the “Absolute”, to use Hegel’s term, which is the last, final, and completely all-encompassing or unconditioned concept or form in the relevant subject matter under discussion (logic, phenomenology, ethics/politics and so on). The “Absolute” concept or form is unconditioned because its definition or determination contains all the other concepts or forms that were developed earlier in the dialectical process for that subject matter. Moreover, because the process develops necessarily and comprehensively through each concept, form or determination, there are no determinations that are left out of the process. There are therefore no left-over concepts or forms—concepts or forms outside of the “Absolute”—that might “condition” or define it. The “Absolute” is thus unconditioned because it contains all of the conditions in its content, and is not conditioned by anything else outside of it. This Absolute is the highest concept or form of universality for that subject matter. It is the thought or concept of the whole conceptual system for the relevant subject matter. We can picture the Absolute Idea (EL §236), for instance—which is the “Absolute” for logic—as an oval that is filled up with and surrounds numerous, embedded rings of smaller ovals and circles, which represent all of the earlier and less universal determinations from the logical development (cf. Maybee 2009: 30, 600):Five concentric ovals; the outermost one is labeled 'The Absolute Idea'.

Figure 2

Since the “Absolute” concepts for each subject matter lead into one another, when they are taken together, they constitute Hegel’s entire philosophical system, which, as Hegel says, “presents itself therefore as a circle of circles” (EL-GSH §15). We can picture the entire system like this (cf. Maybee 2009: 29):A circle enclosing enclosing 10 ovals. One oval is labeled 'Phenomenology', another 'Logic', and two others 'Other philosophical subject matters'. The enclosing circle is labeled: the whole philosophical system as a 'circle of circles'

Figure 3

Together, Hegel believes, these characteristics make his dialectical method genuinely scientific. As he says, “the dialectical constitutes the moving soul of scientific progression” (EL-GSH Remark to §81). He acknowledges that a description of the method can be more or less complete and detailed, but because the method or progression is driven only by the subject matter itself, this dialectical method is the “only true method” (SL-M 54; SL-dG 33).

2. Applying Hegel’s dialectical method to his arguments

So far, we have seen how Hegel describes his dialectical method, but we have yet to see how we might read this method into the arguments he offers in his works. Scholars often use the first three stages of the logic as the “textbook example” (Forster 1993: 133) to illustrate how Hegel’s dialectical method should be applied to his arguments. The logic begins with the simple and immediate concept of pure Being, which is said to illustrate the moment of the understanding. We can think of Being here as a concept of pure presence. It is not mediated by any other concept—or is not defined in relation to any other concept—and so is undetermined or has no further determination (EL §86; SL-M 82; SL-dG 59). It asserts bare presence, but what that presence is like has no further determination. Because the thought of pure Being is undetermined and so is a pure abstraction, however, it is really no different from the assertion of pure negation or the absolutely negative (EL §87). It is therefore equally a Nothing (SL-M 82; SL-dG 59). Being’s lack of determination thus leads it to sublate itself and pass into the concept of Nothing (EL §87; SL-M 82; SL-dG 59), which illustrates the dialectical moment.

But if we focus for a moment on the definitions of Being and Nothing themselves, their definitions have the same content. Indeed, both are undetermined, so they have the same kind of undefined content. The only difference between them is “something merely meant” (EL-GSH Remark to §87), namely, that Being is an undefined content, taken as or meant to be presence, while Nothing is an undefined content, taken as or meant to be absence. The third concept of the logic—which is used to illustrate the speculative moment—unifies the first two moments by capturing the positive result of—or the conclusion that we can draw from—the opposition between the first two moments. The concept of Becoming is the thought of an undefined content, taken as presence (Being) and then taken as absence (Nothing), or taken as absence (Nothing) and then taken as presence (Being). To Become is to go from Being to Nothing or from Nothing to Being, or is, as Hegel puts it, “the immediate vanishing of the one in the other” (SL-M 83; cf. SL-dG 60). The contradiction between Being and Nothing thus is not a reductio ad absurdum, or does not lead to the rejection of both concepts and hence to nothingness—as Hegel had said Plato’s dialectics does (SL-M 55–6; SL-dG 34–5)—but leads to a positive result, namely, to the introduction of a new concept—the synthesis—which unifies the two, earlier, opposed concepts.

We can also use the textbook Being-Nothing-Becoming example to illustrate Hegel’s concept of aufheben (to sublate), which, as we saw, means to cancel (or negate) and to preserve at the same time. Hegel says that the concept of Becoming sublates the concepts of Being and Nothing (SL-M 105; SL-dG 80). Becoming cancels or negates Being and Nothing because it is a new concept that replaces the earlier concepts; but it also preserves Being and Nothing because it relies on those earlier concepts for its own definition. Indeed, it is the first concrete concept in the logic. Unlike Being and Nothing, which had no definition or determination as concepts themselves and so were merely abstract (SL-M 82–3; SL-dG 59–60; cf. EL Addition to §88), Becoming is a “determinate unity in which there is both Being and Nothing” (SL-M 105; cf. SL-dG 80). Becoming succeeds in having a definition or determination because it is defined by, or piggy-backs on, the concepts of Being and Nothing.

This “textbook” Being-Nothing-Becoming example is closely connected to the traditional idea that Hegel’s dialectics follows a thesis-antithesis-synthesis pattern, which, when applied to the logic, means that one concept is introduced as a “thesis” or positive concept, which then develops into a second concept that negates or is opposed to the first or is its “antithesis”, which in turn leads to a third concept, the “synthesis”, that unifies the first two (see, e.g., McTaggert 1964 [1910]: 3–4; Mure 1950: 302; Stace, 1955 [1924]: 90–3, 125–6; Kosek 1972: 243; E. Harris 1983: 93–7; Singer 1983: 77–79). Versions of this interpretation of Hegel’s dialectics continue to have currency (e.g., Forster 1993: 131; Stewart 2000: 39, 55; Fritzman 2014: 3–5). On this reading, Being is the positive moment or thesis, Nothing is the negative moment or antithesis, and Becoming is the moment of aufheben or synthesis—the concept that cancels and preserves, or unifies and combines, Being and Nothing.

We must be careful, however, not to apply this textbook example too dogmatically to the rest of Hegel’s logic or to his dialectical method more generally (for a classic criticism of the thesis-antithesis-synthesis reading of Hegel’s dialectics, see Mueller 1958). There are other places where this general pattern might describe some of the transitions from stage to stage, but there are many more places where the development does not seem to fit this pattern very well. One place where the pattern seems to hold, for instance, is where the Measure (EL §107)—as the combination of Quality and Quantity—transitions into the Measureless (EL §107), which is opposed to it, which then in turn transitions into Essence, which is the unity or combination of the two earlier sides (EL §111). This series of transitions could be said to follow the general pattern captured by the “textbook example”: Measure would be the moment of the understanding or thesis, the Measureless would be the dialectical moment or antithesis, and Essence would be the speculative moment or synthesis that unifies the two earlier moments. However, before the transition to Essence takes place, the Measureless itself is redefined as a Measure (EL §109)—undercutting a precise parallel with the textbook Being-Nothing-Becoming example, since the transition from Measure to Essence would not follow a Measure-Measureless-Essence pattern, but rather a Measure-(Measureless?)-Measure-Essence pattern.

Other sections of Hegel’s philosophy do not fit the triadic, textbook example of Being-Nothing-Becoming at all, as even interpreters who have supported the traditional reading of Hegel’s dialectics have noted. After using the Being-Nothing-Becoming example to argue that Hegel’s dialectical method consists of “triads” whose members “are called the thesis, antithesis, synthesis” (Stace 1955 [1924]: 93), W.T. Stace, for instance, goes on to warn us that Hegel does not succeed in applying this pattern throughout the philosophical system. It is hard to see, Stace says, how the middle term of some of Hegel’s triads are the opposites or antitheses of the first term, “and there are even ‘triads’ which contain four terms!” (Stace 1955 [1924]: 97). As a matter of fact, one section of Hegel’s logic—the section on Cognition—violates the thesis-antithesis-synthesis pattern because it has only two sub-divisions, rather than three. “The triad is incomplete”, Stace complains. “There is no third. Hegel here abandons the triadic method. Nor is any explanation of his having done so forthcoming” (Stace 1955 [1924]: 286; cf. McTaggart 1964 [1910]: 292).

Interpreters have offered various solutions to the complaint that Hegel’s dialectics sometimes seems to violate the triadic form. Some scholars apply the triadic form fairly loosely across several stages (e.g. Burbidge 1981: 43–5; Taylor 1975: 229–30). Others have applied Hegel’s triadic method to whole sections of his philosophy, rather than to individual stages. For G.R.G. Mure, for instance, the section on Cognition fits neatly into a triadic, thesis-antithesis-synthesis account of dialectics because the whole section is itself the antithesis of the previous section of Hegel’s logic, the section on Life (Mure 1950: 270). Mure argues that Hegel’s triadic form is easier to discern the more broadly we apply it. “The triadic form appears on many scales”, he says, “and the larger the scale we consider the more obvious it is” (Mure 1950: 302).

Scholars who interpret Hegel’s description of dialectics on a smaller scale—as an account of how to get from stage to stage—have also tried to explain why some sections seem to violate the triadic form. J.N. Findlay, for instance—who, like Stace, associates dialectics “with the triad, or with triplicity”—argues that stages can fit into that form in “more than one sense” (Findlay 1962: 66). The first sense of triplicity echoes the textbook, Being-Nothing-Becoming example. In a second sense, however, Findlay says, the dialectical moment or “contradictory breakdown” is not itself a separate stage, or “does not count as one of the stages”, but is a transition between opposed, “but complementary”, abstract stages that “are developed more or less concurrently” (Findlay 1962: 66). This second sort of triplicity could involve any number of stages: it “could readily have been expanded into a quadruplicity, a quintuplicity and so forth” (Findlay 1962: 66). Still, like Stace, he goes on to complain that many of the transitions in Hegel’s philosophy do not seem to fit the triadic pattern very well. In some triads, the second term is “the direct and obvious contrary of the first”—as in the case of Being and Nothing. In other cases, however, the opposition is, as Findlay puts it, “of a much less extreme character” (Findlay 1962: 69). In some triads, the third term obviously mediates between the first two terms. In other cases, however, he says, the third term is just one possible mediator or unity among other possible ones; and, in yet other cases, “the reconciling functions of the third member are not at all obvious” (Findlay 1962: 70).

Let us look more closely at one place where the “textbook example” of Being-Nothing-Becoming does not seem to describe the dialectical development of Hegel’s logic very well. In a later stage of the logic, the concept of Purpose goes through several iterations, from Abstract Purpose (EL §204), to Finite or Immediate Purpose (EL §205), and then through several stages of a syllogism (EL §206) to Realized Purpose (EL §210). Abstract Purpose is the thought of any kind of purposiveness, where the purpose has not been further determined or defined. It includes not just the kinds of purposes that occur in consciousness, such as needs or drives, but also the “internal purposiveness” or teleological view proposed by the ancient Greek philosopher, Aristotle (see entry on Aristotle; EL Remark to §204), according to which things in the world have essences and aim to achieve (or have the purpose of living up to) their essences. Finite Purpose is the moment in which an Abstract Purpose begins to have a determination by fixing on some particular material or content through which it will be realized (EL §205). The Finite Purpose then goes through a process in which it, as the Universality, comes to realize itself as the Purpose over the particular material or content (and hence becomes Realized Purpose) by pushing out into Particularity, then into Singularity (the syllogism U-P-S), and ultimately into ‘out-thereness,’ or into individual objects out there in the world (EL §210; cf. Maybee 2009: 466–493).

Hegel’s description of the development of Purpose does not seem to fit the textbook Being-Nothing-Becoming example or the thesis-antithesis-synthesis model. According to the example and model, Abstract Purpose would be the moment of understanding or thesis, Finite Purpose would be the dialectical moment or antithesis, and Realized Purpose would be the speculative moment or synthesis. Although Finite Purpose has a different determination from Abstract Purpose (it refines the definition of Abstract Purpose), it is hard to see how it would qualify as strictly “opposed” to or as the “antithesis” of Abstract Purpose in the way that Nothing is opposed to or is the antithesis of Being.

There is an answer, however, to the criticism that many of the determinations are not “opposites” in a strict sense. The German term that is translated as “opposite” in Hegel’s description of the moments of dialectics (EL §§81, 82)—entgegensetzen—has three root words: setzen (“to posit or set”), gegen, (“against”), and the prefix ent-, which indicates that something has entered into a new state. The verb entgegensetzen can therefore literally be translated as “to set over against”. The “engegengesetzte” into which determinations pass, then, do not need to be the strict “opposites” of the first, but can be determinations that are merely “set against” or are different from the first ones. And the prefix ent-, which suggests that the first determinations are put into a new state, can be explained by Hegel’s claim that the finite determinations from the moment of understanding sublate (cancel but also preserve) themselves (EL §81): later determinations put earlier determinations into a new state by preserving them.

At the same time, there is a technical sense in which a later determination would still be the “opposite” of the earlier determination. Since the second determination is different from the first one, it is the logical negation of the first one, or is not-the-first-determination. If the first determination is “e”, for instance, because the new determination is different from that one, the new one is “not-e” (Kosek 1972: 240). Since Finite Purpose, for instance, has a definition or determination that is different from the definition that Abstract Purpose has, it is not-Abstract-Purpose, or is the negation or opposite of Abstract Purpose in that sense. There is therefore a technical, logical sense in which the second concept or form is the “opposite” or negation of—or is “not”—the first one—though, again, it need not be the “opposite” of the first one in a strict sense.

Other problems remain, however. Because the concept of Realized Purpose is defined through a syllogistic process, it is itself the product of several stages of development (at least four, by my count, if Realized Purpose counts as a separate determination), which would seem to violate a triadic model. Moreover, the concept of Realized Purpose does not, strictly speaking, seem to be the unity or combination of Abstract Purpose and Finite Purpose. Realized Purpose is the result of (and so unifies) the syllogistic process of Finite Purpose, through which Finite Purpose focuses on and is realized in a particular material or content. Realized Purpose thus seems to be a development of Finite Purpose, rather than a unity or combination of Abstract Purpose and Finite Purpose, in the way that Becoming can be said to be the unity or combination of Being and Nothing.

These sorts of considerations have led some scholars to interpret Hegel’s dialectics in a way that is implied by a more literal reading of his claim, in the Encyclopaedia Logic, that the three “sides” of the form of logic—namely, the moment of understanding, the dialectical moment, and the speculative moment—“are moments of each [or every; jedeslogically-real, that is each [or every; jedes] concept” (EL Remark to §79; this is an alternative translation). The quotation suggests that each concept goes through all three moments of the dialectical process—a suggestion reinforced by Hegel’s claim, in the Phenomenology, that the result of the process of determinate negation is that “a new form has thereby immediately arisen” (PhG-M §79). According to this interpretation, the three “sides” are not three different concepts or forms that are related to one another in a triad—as the textbook Being-Nothing-Becoming example suggests—but rather different momentary sides or “determinations” in the life, so to speak, of eachconcept or form as it transitions to the next one. The three moments thus involve only two concepts or forms: the one that comes first, and the one that comes next (examples of philosophers who interpret Hegel’s dialectics in this second way include Maybee 2009; Priest 1989: 402; Rosen 2014: 122, 132; and Winfield 1990: 56).

For the concept of Being, for example, its moment of understanding is its moment of stability, in which it is asserted to be pure presence. This determination is one-sided or restricted however, because, as we saw, it ignores another aspect of Being’s definition, namely, that Being has no content or determination, which is how Being is defined in its dialectical moment. Being thus sublates itself because the one-sidedness of its moment of understanding undermines that determination and leads to the definition it has in the dialectical moment. The speculative moment draws out the implications of these moments: it asserts that Being (as pure presence) implies nothing. It is also the “unity of the determinations in their comparison [Entgegensetzung]” (EL §82; alternative translation): since it captures a process from one to the other, it includes Being’s moment of understanding (as pure presence) and dialectical moment (as nothing or undetermined), but also compares those two determinations, or sets (-setzen) them up against (-gegen) each other. It even puts Being into a new state (as the prefix ent– suggests) because the next concept, Nothing, will sublate (cancel and preserve) Being.

The concept of Nothing also has all three moments. When it is asserted to be the speculative result of the concept of Being, it has its moment of understanding or stability: it is Nothing, defined as pure absence, as the absence of determination. But Nothing’s moment of understanding is also one-sided or restricted: like Being, Nothing is also an undefined content, which is its determination in its dialectical moment. Nothing thus sublates itself: since it is an undefined content, it is not pure absence after all, but has the same presence that Being did. It is present as an undefined content. Nothing thus sublates Being: it replaces (cancels) Being, but also preserves Being insofar as it has the same definition (as an undefined content) and presence that Being had. We can picture Being and Nothing like this (the circles have dashed outlines to indicate that, as concepts, they are each undefined; cf. Maybee 2009: 51):two circles with dashed outlines, one labeled 'Being' and one 'Nothing'.

Figure 4

In its speculative moment, then, Nothing implies presence or Being, which is the “unity of the determinations in their comparison [Entgegensetzung]” (EL §82; alternative translation), since it both includes but—as a process from one to the other—also compares the two earlier determinations of Nothing, first, as pure absence and, second, as just as much presence.

The dialectical process is driven to the next concept or form—Becoming—not by a triadic, thesis-antithesis-synthesis pattern, but by the one-sidedness of Nothing—which leads Nothing to sublate itself—and by the implications of the process so far. Since Being and Nothing have each been exhaustively analyzed as separate concepts, and since they are the only concepts in play, there is only one way for the dialectical process to move forward: whatever concept comes next will have to take account of both Being and Nothing at the same time. Moreover, the process revealed that an undefined content taken to be presence (i.e., Being) implies Nothing (or absence), and that an undefined content taken to be absence (i.e., Nothing) implies presence (i.e., Being). The next concept, then, takes Being and Nothing together and draws out those implications—namely, that Being implies Nothing, and that Nothing implies Being. It is therefore Becoming, defined as two separate processes: one in which Being becomes Nothing, and one in which Nothing becomes Being. We can picture Becoming this way (cf. Maybee 2009: 53):Same as the previous figure except arched arrows from the Nothing circle to the Being circle and vice versa. The arrows are labeled 'Becoming'.

Figure 5

In a similar way, a one-sidedness or restrictedness in the determination of Finite Purpose together with the implications of earlier stages leads to Realized Purpose. In its moment of understanding, Finite Purpose particularizes into (or presents) its content as “something-presupposed” or as a pre-given object (EL §205). I go to a restaurant for the purpose of having dinner, for instance, and order a salad. My purpose of having dinner particularizes as a pre-given object—the salad. But this object or particularity—e.g. the salad—is “inwardly reflected” (EL §205): it has its own content—developed in earlier stages—which the definition of Finite Purpose ignores. We can picture Finite Purpose this way:4 concentric ovals with the innermost one enclosing an oval and a circle; an arrow points inward from the outermost oval and is labeled 'Presents into or particularizes as'. The outermost oval is labeled 'Finite Purpose (the universality; e.g. 'dinner')'. The next most oval is labeled 'A pre-given object (e.g., 'salad')'. The next oval and the circle and oval in the center are labeled 'The content of the object, developed in earlier stages, that Finite Purpose is ignoring'.

Figure 6

In the dialectical moment, Finite Purpose is determined by the previously ignored content, or by that other content. The one-sidedness of Finite Purpose requires the dialectical process to continue through a series of syllogisms that determines Finite Purpose in relation to the ignored content. The first syllogism links the Finite Purpose to the first layer of content in the object: the Purpose or universality (e.g., dinner) goes through the particularity (e.g., the salad) to its content, the singularity (e.g., lettuce as a type of thing)—the syllogism U-P-S (EL §206). But the particularity (e.g., the salad) is itself a universality or purpose, “which at the same time is a syllogism within itself [in sich]” (EL Remark to §208; alternative translation), in relation to its own content. The salad is a universality/purpose that particularizes as lettuce (as a type of thing) and has its singularity in this lettuce here—a second syllogism, U-P-S. Thus, the first singularity (e.g., “lettuce” as a type of thing)—which, in this second syllogism, is the particularity or P—“judges” (EL §207) or asserts that “U is S”: it says that “lettuce” as a universality (U) or type of thing is a singularity (S), or is “this lettuce here”, for instance. This new singularity (e.g. “this lettuce here”) is itself a combination of subjectivity and objectivity (EL §207): it is an Inner or identifying concept (“lettuce”) that is in a mutually-defining relationship (the circular arrow) with an Outer or out-thereness (“this here”) as its content. In the speculative moment, Finite Purpose is determined by the whole process of development from the moment of understanding—when it is defined by particularizing into a pre-given object with a content that it ignores—to its dialectical moment—when it is also defined by the previously ignored content. We can picture the speculative moment of Finite Purpose this way:4 concentric ovals with the innermost one enclosing an oval and a circle; arrows point inward from the outermost 3 ovals to the next one in. The outermost oval is labeled 'Finite Purpose (the universality; e.g. 'dinner')'. The nextmost oval is labeled both 'The Particularity or object (e.g., 'salad')' and 'The object (e.g., 'salad') is also a Purpose or universality with its own syllogism'. The next oval is labeled both 'The Singularity (e.g., 'lettuce' as a type)' and 'The Particularity (e.g., 'lettuce' as type)'. And the 4th oval is labeled both 'Inner' and 'The Singularity (e.g., 'this lettuce is here')'. The circle in the middle is labeled 'Outer' and the oval in the middle 'Mutually-defining relationship'. The 3 interior ovals (not including the innermost) are also labeled 'The second syllogism U-P-S'. The 3 outer ovals are also labeled 'The first syllogism U-P-S'.

Figure 7

Finite Purpose’s speculative moment leads to Realized Purpose. As soon as Finite Purpose presents all the content, there is a return process (a series of return arrows) that establishes each layer and redefines Finite Purpose as Realized Purpose. The presence of “this lettuce here” establishes the actuality of “lettuce” as a type of thing (an Actuality is a concept that captures a mutually-defining relationship between an Inner and an Outer [EL §142]), which establishes the “salad”, which establishes “dinner” as the Realized Purpose over the whole process. We can picture Realized Purpose this way:4 concentric ovals with the innermost one enclosing an oval and a circle; arrows point inward from the outermost 3 ovals to the next one in and arrows also point in the reverse direction. The outermost oval is labeled 'Realized Purpose: the Purpose (e.g., 'dinner') is established as the Purpose or universality over the whole content'. The outward pointing arrows are labeled 'The return process established the Purpose (e.g., 'dinner') as the Purpose or universality over the whole content'. The nextmost oval is labeled 'The object and second Purpose (e.g., 'salad')'. The one next in is labeled 'The Singularity/Particularity (e.g., 'lettuce' as a type)'. The 3rd inward oval is labeled 'The second Singularity (e.g., 'this lettuce is here')'.

Figure 8

If Hegel’s account of dialectics is a general description of the life of each concept or form, then any section can include as many or as few stages as the development requires. Instead of trying to squeeze the stages into a triadic form (cf. Solomon 1983: 22)—a technique Hegel himself rejects (PhG §50; cf. section 3)—we can see the process as driven by each determination on its own account: what it succeeds in grasping (which allows it to be stable, for a moment of understanding), what it fails to grasp or capture (in its dialectical moment), and how it leads (in its speculative moment) to a new concept or form that tries to correct for the one-sidedness of the moment of understanding. This sort of process might reveal a kind of argument that, as Hegel had promised, might produce a comprehensive and exhaustive exploration of every concept, form or determination in each subject matter, as well as raise dialectics above a haphazard analysis of various philosophical views to the level of a genuine science.

3. Why does Hegel use dialectics?

We can begin to see why Hegel was motivated to use a dialectical method by examining the project he set for himself, particularly in relation to the work of David Hume and Immanuel Kant (see entries on Hume and Kant). Hume had argued against what we can think of as the naïve view of how we come to have scientific knowledge. According to the naïve view, we gain knowledge of the world by using our senses to pull the world into our heads, so to speak. Although we may have to use careful observations and do experiments, our knowledge of the world is basically a mirror or copy of what the world is like. Hume argued, however, that naïve science’s claim that our knowledge corresponds to or copies what the world is like does not work. Take the scientific concept of cause, for instance. According to that concept of cause, to say that one event causes another is to say that there is a necessary connection between the first event (the cause) and the second event (the effect), such that, when the first event happens, the second event must also happen. According to naïve science, when we claim (or know) that some event causes some other event, our claim mirrors or copies what the world is like. It follows that the necessary, causal connection between the two events must itself be out there in the world. However, Hume argued, we never observe any such necessary causal connection in our experience of the world, nor can we infer that one exists based on our reasoning (see Hume’s A Treatise of Human Nature, Book I, Part III, Section II; Enquiry Concerning Human Understanding, Section VII, Part I). There is nothing in the world itself that our idea of cause mirrors or copies.

Kant thought Hume’s argument led to an unacceptable, skeptical conclusion, and he rejected Hume’s own solution to the skepticism (see Kant’s Critique of Pure Reason, B5, B19–20). Hume suggested that our idea of causal necessity is grounded merely in custom or habit, since it is generated by our own imaginations after repeated observations of one sort of event following another sort of event (see Hume’s A Treatise of Human Nature, Book I, Section VI; Hegel also rejected Hume’s solution, see EL §39). For Kant, science and knowledge should be grounded in reason, and he proposed a solution that aimed to reestablish the connection between reason and knowledge that was broken by Hume’s skeptical argument. Kant’s solution involved proposing a Copernican revolution in philosophy (Critique of Pure Reason, Bxvi). Nicholas Copernicus was the Polish astronomer who said that the earth revolves around the sun, rather than the other way around. Kant proposed a similar solution to Hume’s skepticism. Naïve science assumes that our knowledge revolves around what the world is like, but, Hume’s criticism argued, this view entails that we cannot then have knowledge of scientific causes through reason. We can reestablish a connection between reason and knowledge, however, Kant suggested, if we say—not that knowledge revolves around what the world is like—but that knowledge revolves around what we are like. For the purposes of our knowledge, Kant said, we do not revolve around the world—the world revolves around us. Because we are rational creatures, we share a cognitive structure with one another that regularizes our experiences of the world. This intersubjectively shared structure of rationality—and not the world itself—grounds our knowledge.

However, Kant’s solution to Hume’s skepticism led to a skeptical conclusion of its own that Hegel rejected. While the intersubjectively shared structure of our reason might allow us to have knowledge of the world from our perspective, so to speak, we cannot get outside of our mental, rational structures to see what the world might be like in itself. As Kant had to admit, according to his theory, there is still a world in itself or “Thing-in-itself” (Ding an sich) about which we can know nothing (see, e.g., Critique of Pure Reason, Bxxv–xxvi). Hegel rejected Kant’s skeptical conclusion that we can know nothing about the world- or Thing-in-itself, and he intended his own philosophy to be a response to this view (see, e.g., EL §44 and the Remark to §44).

How did Hegel respond to Kant’s skepticism—especially since Hegel accepted Kant’s Copernican revolution, or Kant’s claim that we have knowledge of the world because of what we are like, because of our reason? How, for Hegel, can we get out of our heads to see the world as it is in itself? Hegel’s answer is very close to the ancient Greek philosopher Aristotle’s response to Plato. Plato argued that we have knowledge of the world only through the Forms. The Forms are perfectly universal, rational concepts or ideas. Because the world is imperfect, however, Plato exiled the Forms to their own realm. Although things in the world get their definitions by participating in the Forms, those things are, at best, imperfect copies of the universal Forms (see, e.g., Parmenides 131–135a). The Forms are therefore not in this world, but in a separate realm of their own. Aristotle argued, however, that the world is knowable not because things in the world are imperfect copies of the Forms, but because the Forms are in things themselves as the defining essences of those things (see, e.g., De Anima [On the Soul], Book I, Chapter 1 [403a26–403b18]; Metaphysics, Book VII, Chapter 6 [1031b6–1032a5] and Chapter 8 [1033b20–1034a8]).

In a similar way, Hegel’s answer to Kant is that we can get out of our heads to see what the world is like in itself—and hence can have knowledge of the world in itself—because the very same rationality or reason that is in our heads is in the world itself. As Hegel apparently put it in a lecture, the opposition or antithesis between the subjective and objective disappears by saying, as the Ancients did, 

that nous governs the world, or by our own saying that there is reason in the world, by which we mean that reason is the soul of the world, inhabits it, and is immanent in it, as it own, innermost nature, its universal. (EL-GSH Addition 1 to §24) 

Hegel used an example familiar from Aristotle’s work to illustrate this view: 

“to be an animal”, the kind considered as the universal, pertains to the determinate animal and constitutes its determinate essentiality. If we were to deprive a dog of its animality we could not say what it is. (EL-GSH Addition 1 to §24; cf. SL-dG 16–17, SL-M 36-37)

Kant’s mistake, then, was that he regarded reason or rationality as only in our heads, Hegel suggests (EL §§43–44), rather than in both us and the world itself (see also below in this section and section 4). We can use our reason to have knowledge of the world because the very same reason that is in us, is in the world itself as it own defining principle. The rationality or reason in the world makes reality understandable, and that is why we can have knowledge of, or can understand, reality with our rationality. Dialectics—which is Hegel’s account of reason—characterizes not only logic, but also “everything true in general” (EL Remark to §79).

But why does Hegel come to define reason in terms of dialectics, and hence adopt a dialectical method? We can begin to see what drove Hegel to adopt a dialectical method by returning once again to Plato’s philosophy. Plato argued that we can have knowledge of the world only by grasping the Forms, which are perfectly universal, rational concepts or ideas. Because things in the world are so imperfect, however, Plato concluded that the Forms are not in this world, but in a realm of their own. After all, if a human being were perfectly beautiful, for instance, then he or she would never become not-beautiful. But human beings change, get old, and die, and so can be, at best, imperfect copies of the Form of beauty—though they get whatever beauty they have by participating in that Form. Moreover, for Plato, things in the world are such imperfect copies that we cannot gain knowledge of the Forms by studying things in the world, but only through reason, that is, only by using our rationality to access the separate realm of the Forms (as Plato argued in the well-known parable of the cave; Republic, Book 7, 514–516b).

Notice, however, that Plato’s conclusion that the Forms cannot be in this world and so must be exiled to a separate realm rests on two claims. First, it rests on the claim that the world is an imperfect and messy place—a claim that is hard to deny. But it also rests on the assumption that the Forms—the universal, rational concepts or ideas of reason itself—are static and fixed, and so cannot grasp the messiness within the imperfect world. Hegel is able to link reason back to our messy world by changing the definition of reason. Instead of saying that reason consists of static universals, concepts or ideas, Hegel says that the universal concepts or forms are themselves messy. Against Plato, Hegel’s dialectical method allows him to argue that universal concepts can “overgrasp” (from the German verb übergreifen) the messy, dialectical nature of the world because they, themselves, are dialectical. Moreover, because later concepts build on or sublate (cancel, but also preserve) earlier concepts, the later, more universal concepts grasp the dialectical processes of earlier concepts. As a result, higher-level concepts can grasp not only the dialectical nature of earlier concepts or forms, but also the dialectical processes that make the world itself a messy place. The highest definition of the concept of beauty, for instance, would not take beauty to be fixed and static, but would include within it the dialectical nature or finiteness of beauty, the idea that beauty becomes, on its own account, not-beauty. This dialectical understanding of the concept of beauty can then overgrasp the dialectical and finite nature of beauty in the world, and hence the truth that, in the world, beautiful things themselves become not-beautiful, or might be beautiful in one respect and not another. Similarly, the highest determination of the concept of “tree” will include within its definition the dialectical process of development and change from seed to sapling to tree. As Hegel says, dialectics is “the principle of all natural and spiritual life” (SL-M 56; SL-dG 35), or “the moving soul of scientific progression” (EL §81). Dialectics is what drives the development of both reason as well as of things in the world. A dialectical reason can overgrasp a dialectical world.

Two further journeys into the history of philosophy will help to show why Hegel chose dialectics as his method of argument. As we saw, Hegel argues against Kant’s skepticism by suggesting that reason is not only in our heads, but in the world itself. To show that reason is in the world itself, however, Hegel has to show that reason can be what it is without us human beings to help it. He has to show that reason can develop on its own, and does not need us to do the developing for it (at least for those things in the world that are not human-created). As we saw (cf. section 1), central to Hegel’s dialectics is the idea that concepts or forms develop on their own because they “self-sublate”, or sublate (cancel and preserve) themselves, and so pass into subsequent concepts or forms on their own accounts, because of their own, dialectical natures. Thus reason, as it were, drives itself, and hence does not need our heads to develop it. Hegel needs an account of self-driving reason to get beyond Kant’s skepticism.

Ironically, Hegel derives the basic outlines of his account of self-driving reason from Kant. Kant divided human rationality into two faculties: the faculty of the understanding and the faculty of reason. The understanding uses concepts to organize and regularize our experiences of the world. Reason’s job is to coordinate the concepts and categories of the understanding by developing a completely unified, conceptual system, and it does this work, Kant thought, on its own, independently of how those concepts might apply to the world. Reason coordinates the concepts of the understanding by following out necessary chains of syllogisms to produce concepts that achieve higher and higher levels of conceptual unity. Indeed, this process will lead reason to produce its own transcendental ideas, or concepts that go beyond the world of experience. Kant calls this necessary, concept-creating reason “speculative” reason (cf. Critique of Pure Reason, Bxx–xxi, A327/B384). Reason creates its own concepts or ideas—it “speculates”—by generating new and increasingly comprehensive concepts of its own, independently of the understanding. In the end, Kant thought, reason will follow out such chains of syllogisms until it develops completely comprehensive or unconditioned universals—universals that contain all of the conditions or all of the less-comprehensive concepts that help to define them. As we saw (cf.section 1), Hegel’s dialectics adopts Kant’s notion of a self-driving and concept-creating “speculative” reason, as well as Kant’s idea that reason aims toward unconditioned universality or absolute concepts.

Ultimately, Kant thought, reasons’ necessary, self-driving activity will lead it to produce contradictions—what he called the “antinomies”, which consist of a thesis and antithesis. Once reason has generated the unconditioned concept of the whole world, for instance, Kant argued, it can look at the world in two, contradictory ways. In the first antinomy, reason can see the world (1) as the whole totality or as the unconditioned, or (2) as the series of syllogisms that led up to that totality. If reason sees the world as the unconditioned or as a complete whole that is not conditioned by anything else, then it will see the world as having a beginning and end in terms of space and time, and so will conclude (the thesis) that the world has a beginning and end or limit. But if reason sees the world as the series, in which each member of the series is conditioned by the previous member, then the world will appear to be without a beginning and infinite, and reason will conclude (the antithesis) that the world does not have a limit in terms of space and time (cf. Critique of Pure Reason, A417–18/B445–6). Reason thus leads to a contradiction: it holds both that the world has a limit and that it does not have a limit at the same time. Because reason’s own process of self-development will lead it to develop contradictions or to be dialectical in this way, Kant thought that reason must be kept in check by the understanding. Any conclusions that reason draws that do not fall within the purview of the understanding cannot be applied to the world of experience, Kant said, and so cannot be considered genuine knowledge (Critique of Pure Reason, A506/B534).

Hegel adopts Kant’s dialectical conception of reason, but he liberates reason for knowledge from the tyranny of the understanding. Kant was right that reason speculatively generates concepts on its own, and that this speculative process is driven by necessity and leads to concepts of increasing universality or comprehensiveness. Kant was even right to suggest—as he had shown in the discussion of the antinomies—that reason is dialectical, or necessarily produces contradictions on its own. Again, Kant’s mistake was that he fell short of saying that these contradictions are in the world itself. He failed to apply the insights of his discussion of the antinomies to “things in themselves” (SL-M 56; SL-dG 35; see also section 4). Indeed, Kant’s own argument proves that the dialectical nature of reason can be applied to things themselves. The fact that reason develops those contradictions on its own, without our heads to help it, shows that those contradictions are not just in our heads, but are objective, or in the world itself. Kant, however, failed to draw this conclusion, and continued to regard reason’s conclusions as illusions. Still, Kant’s philosophy vindicated the general idea that the contradictions he took to be illusions are both objective—or out there in the world—and necessary. As Hegel puts it, Kant vindicates the general idea of “the objectivity of the illusion and the necessity of the contradictionwhich belongs to the nature of thought determinations” (SL-M 56; cf. SL-dG 35), or to the nature of concepts themselves.

The work of Johann Gottlieb Fichte (see entry on Fichte) showed Hegel how dialectics can get beyond Kant—beyond the contradictions that, as Kant had shown, reason (necessarily) develops on its own, beyond the reductio ad absurdum argument (which, as we saw above, holds that a contradiction leads to nothingness), and beyond Kant’s skepticism, or Kant’s claim that reason’s contradictions must be reined in by the understanding and cannot count as knowledge. Fichte argued that the task of discovering the foundation of all human knowledge leads to a contradiction or opposition between the self and the not-self (it is not important, for our purposes, why Fichte held this view). The kind of reasoning that leads to this contradiction, Fichte said, is the analytical or antithetical method of reasoning, which involves drawing out an opposition between elements (in this case, the self and not-self) that are being compared to, or equated with, one another. While the traditional reductio ad absurdum argument would lead us to reject both sides of the contradiction and start from scratch, Fichte argued that the contradiction or opposition between the self and not-self can be resolved. In particular, the contradiction is resolved by positing a third concept—the concept of divisibility—which unites the two sides (The Science of Knowledge, I: 110–11; Fichte 1982: 108–110). The concept of divisibility is produced by a synthetic procedure of reasoning, which involves “discovering in opposites the respect in which they are alike” (The Science of Knowledge, I: 112–13; Fichte 1982: 111). Indeed, Fichte argued, not only is the move to resolve contradictions with synthetic concepts or judgments possible, it is necessary. As he says of the move from the contradiction between self and not-self to the synthetic concept of divisibility, 

there can be no further question as to the possibility of this [synthesis], nor can any ground for it be given; it is absolutely possible, and we are entitled to it without further grounds of any kind. (The Science of Knowledge, I: 114; Fichte 1982: 112)

Since the analytical method leads to oppositions or contradictions, he argued, if we use only analytic judgments, “we not only do not get very far, as Kant says; we do not get anywhere at all” (The Science of Knowledge, I: 113; Fichte 1982: 112). Without the synthetic concepts or judgments, we are left, as the classic reductio ad absurdum argument suggests, with nothing at all. The synthetic concepts or judgments are thus necessary to get beyond contradiction without leaving us with nothing.

Fichte’s account of the synthetic method provides Hegel with the key to moving beyond Kant. Fichte suggested that a synthetic concept that unifies the results of a dialectically-generated contradiction does not completely cancel the contradictory sides, but only limits them. As he said, in general, “[t]o limit something is to abolish its reality, not wholly, but in part only” (The Science of Knowledge, I: 108; Fichte 1982: 108). Instead of concluding, as a reductio ad absurdum requires, that the two sides of a contradiction must be dismissed altogether, the synthetic concept or judgment retroactively justifies the opposing sides by demonstrating their limit, by showing which part of reality they attach to and which they do not (The Science of Knowledge, I: 108–10; Fichte 1982: 108–9), or by determining in what respect and to what degree they are each true. For Hegel, as we saw (cf. section 1), later concepts and forms sublate—both cancel and preserve—earlier concepts and forms in the sense that they include earlier concepts and forms in their own definitions. From the point of view of the later concepts or forms, the earlier ones still have some validity, that is, they have a limited validity or truth defined by the higher-level concept or form.

Dialectically generated contradictions are therefore not a defect to be reigned in by the understanding, as Kant had said, but invitations for reason to “speculate”, that is, for reason to generate precisely the sort of increasingly comprehensive and universal concepts and forms that Kant had said reason aims to develop. Ultimately, Hegel thought, as we saw (cf. section 1), the dialectical process leads to a completely unconditioned concept or form for each subject matter—the Absolute Idea (logic), Absolute Spirit (phenomenology), Absolute Idea of right and law (Philosophy of Right), and so on—which, taken together, form the “circle of circles” (EL §15) that constitutes the whole philosophical system or “Idea” (EL §15) that both overgrasps the world and makes it understandable (for us). 

Note that, while Hegel was clearly influenced by Fichte’s work, he never adopted Fichte’s triadic “thesis—antithesis—synthesis” language in his descriptions of his own philosophy (Mueller 1958: 411–2; Solomon 1983: 23), though he did apparently use it in his lectures to describe Kant’s philosophy (LHP III: 477). Indeed, Hegel criticized formalistic uses of the method of “triplicity [Triplizität]” (PhG-P §50) inspired by Kant—a criticism that could well have been aimed at Fichte. Hegel argued that Kantian-inspired uses of triadic form had been reduced to “a lifeless schema” and “an actual semblance [eigentlichen Scheinen]” (PhG §50; alternative translation) that, like a formula in mathematics, was simply imposed on top of subject matters. Instead, a properly scientific use of Kant’s “triplicity” should flow—as he said his own dialectical method did (see section 1)—out of “the inner life and self-movement” (PhG §51) of the content. 

4. Is Hegel’s dialectical method logical?

Scholars have often questioned whether Hegel’s dialectical method is logical. Some of their skepticism grows out of the role that contradiction plays in his thought and argument. While many of the oppositions embedded in the dialectical development and the definitions of concepts or forms are not contradictions in the strict sense, as we saw (section 2, above), scholars such as Graham Priest have suggested that some of them arguably are (Priest 1989: 391). Hegel even holds, against Kant (cf. section 3 above), that there are contradictions, not only in thought, but also in the world. Motion, for instance, Hegel says, is an “existent contradiction”. As he describes it:

Something moves, not because now it is here and there at another now, but because in one and the same now it is here and not here, because in this here, it is and is not at the same time. (SL-dG 382; cf. SL-M 440) 

Kant’s sorts of antinomies (cf. section 3 above) or contradictions more generally are therefore, as Hegel puts it in one place, “in all objects of all kinds, in all representations, concepts and ideas” (EL-GSH Remark to §48). Hegel thus seems to reject, as he himself explicitly claims (SL-M 439–40; SL-dG 381–82), the law of non-contradiction, which is a fundamental principle of formal logic—the classical, Aristotelian logic (see entries on Aristotle’s Logic andContradiction) that dominated during Hegel’s lifetime as well as the dominant systems of symbolic logic today (cf. Priest 1989: 391; Düsing 2010: 97–103). According to the law of non-contradiction, something cannot be both true and false at the same time or, put another way, “x” and “not-x” cannot both be true at the same time.

Hegel’s apparent rejection of the law of non-contradiction has led some interpreters to regard his dialectics as illogical, even “absurd” (Popper 1940: 420; 1962: 330; 2002: 443). Karl R. Popper, for instance, argued that accepting Hegel’s and other dialecticians’ rejection of the law of non-contradiction as part of both a logical theory and a general theory of the world “would mean a complete breakdown of science” (Popper 1940: 408; 1962: 317; 2002: 426). Since, according to today’s systems of symbolic logic, he suggested, the truth of a contradiction leads logically to any claim (any claim can logically be inferred from two contradictory claims), if we allow contradictory claims to be valid or true together, then we would have no reason to rule out any claim whatsoever (Popper 1940: 408–410; 1962: 317–319; 2002: 426–429).

Popper was notoriously hostile toward Hegel’s work (cf. Popper 2013: 242–289; for a scathing criticism of Popper’s analysis see Kaufmann 1976 [1972]), but, as Priest has noted (Priest 1989: 389–91), even some sympathetic interpreters have been inspired by today’s dominant systems of symbolic logic to hold that the kind of contradiction that is embedded in Hegel’s dialectics cannot be genuine contradiction in the strict sense. While Dieter Wandschneider, for instance, grants that his sympathetic theory of dialectic “is not presented as a faithful interpretation of the Hegelian text” (Wandschneider 2010: 32), he uses the same logical argument that Popper offered in defense of the claim that “dialectical contradiction is not a ‘normal’ contradiction, but one that is actually only an apparent contradiction” (Wandschneider 2010: 37). The suggestion (by the traditional, triadic account of Hegel’s dialectics, cf. section 2, above) that Being and Nothing (or non-being) is a contradiction, for instance, he says, rests on an ambiguity. Being is an undefined content, taken to mean being or presence, while Nothing is an undefined content, taken to mean nothing or absence (section 2, above; cf. Wandschneider 2010: 34–35). Being is Nothing (or non-being) with respect to the property they have as concepts, namely, that they both have an undefined content. But Being is not Nothing (or non-being) with respect to their meaning(Wandschneider 2010: 34–38). The supposed contradiction between them, then, Wandschneider suggests, takes place “in different respects”. It is therefore only an apparent contradiction. “Rightly understood”, he concludes, “there can be no talk of contradiction” (Wandschneider 2010: 38).

Inoue Kazumi also argues that dialectical contradiction in the Hegelian sense does not violate the law of non-contradiction (Inoue 2014: 121–123), and he rejects Popper’s claim that Hegel’s dialectical method is incompatible with good science. A dialectical contradiction, Inoue says, is a contradiction that arises when the same topic is considered from different vantage points, but each vantage point by itself does not violate the law of non-contradiction (Inoue 2014: 120). The understanding leads to contradictions, as Hegel said (cf. section 3 above), because it examines a topic from a fixed point of view; reason embraces contradictions because it examines a topic from multiple points of view (Inoue 2014: 121). The geocentric theory that the sun revolves around the Earth and the heliocentric theory that the Earth revolves around the sun, for instance, Inoue suggests, are both correct from certain points of view. We live our everyday lives from a vantage point in which the sun makes a periodic rotation around the Earth roughly every 24 hours. Astronomers make their observations from a geocentric point of view and then translate those observations into a heliocentric one. From these points of view, the geocentric account is not incorrect. But physics, particularly in its concepts of mass and force, requires the heliocentric account. For science—which takes all these points of view into consideration—both theories are valid: they are dialectically contradictory, though neither theory, by itself, violates the law of non-contradiction (Inoue 2014: 126–127). To insist that the Earth really revolves around the sun is merely an irrational, reductive prejudice, theoretically and practically (Inoue 2014: 126). Dialectical contradictions, Inoue says, are, as Hegel said, constructive: they lead to concepts or points of view that grasp the world from ever wider and more encompassing perspectives, culminating ultimately in the “Absolute” (Inoue 2014: 121; cf. section 1, above). Hegel’s claim that motion violates the law of non-contradiction, Inoue suggests, is an expression of the idea that contradictory claims can be true when motion is described from more than one point of view (Inoue 2014: 123). (For a similar reading of Hegel’s conception of dialectical contradiction, which influenced Inoue’s account [Inoue 2014: 121], see Düsing 2010: 102–103.)

Other interpreters, however, have been inspired by Hegel’s dialectics to develop alternative systems of logic that do not subscribe to the law of non-contradiction. Priest, for instance, has defended Hegel’s rejection of the law of non-contradiction (cf. Priest 1989; 1997 [2006: 4]). The acceptance of some contradictions, he has suggested, does not require the acceptance of allcontradictions (Priest 1989: 392). Popper’s logical argument is also unconvincing. Contradictions lead logically to any claim whatsoever, as Popper said, only if we presuppose that nothing can be both true and false at the same time (i.e. only if we presuppose that the law of non-contradiction is correct), which is just what Hegel denies. Popper’s logical argument thus assumes what it is supposed to prove or begs the question (Priest 1989: 392; 1997 [2006: 5–6]), and so is not convincing. Moreover, consistency (not allowing contradictions), Priest suggests, is actually “a very weak constraint” (Priest 1997 [2006: 104]) on what counts as a rational inference. Other principles or criteria—such as being strongly disproved (or supported) by the data—are more important for determining whether a claim or inference is rational (Priest 1997 [2006: 105]). And, as Hegel pointed out, Priest says, the data—namely, “the world as it appears” (as Hegel puts it in EL) or “ordinary experience itself” (as Hegel puts it in SL)—suggest that there are indeed contradictions (EL Remark to §48; SL-dG 382; cf. SL-M 440; Priest 1989: 389, 399–400). Hegel is right, for instance, Priest argues, that change, and motion in particular, are examples of real or existing contradictions (Priest 1985; 1989: 396–97; 1997 [2006: 172–181, 213–15]). What distinguishes motion, as a process, from a situation in which something is simply here at one time and then some other place at some other time is the embodiment of contradiction: that, in a process of motion, there is one (span of) time in which something is both here and not here at the same time (in that span of time) (Priest 1985: 340–341; 1997 [2006: 172–175, 213–214]). A system of logic, Priest suggests, is always just a theory about what good reasoning should be like (Priest 1989: 392). A dialectical logic that admits that there are “dialetheia” or true contradictions (Priest 1989: 388), he says, is a broader theory or version of logic than traditional, formal logics that subscribe to the law of non-contradiction. Those traditional logics apply only to topics or domains that are consistent, primarily domains that are “static and changeless” (Priest 1989: 391; cf. 395); dialectical/dialetheic logic handles consistent domains, but also applies to domains in which there are dialetheia. Thus Priest, extending Hegel’s own concept of aufheben (“to sublate”; cf. section 1, above), suggests that traditional “formal logic is perfectly valid in its domain, but dialectical (dialetheic) logic is more general” (Priest 1989: 395). (For an earlier example of a logical system that allows contradiction and was inspired in part by Hegel [and Marx], see Jaśkowski 1999: 36 [1969: 143] [cf. Inoue 2014: 128–129]. For more on dialetheic logic generally, see the entry on Dialetheism.)

Worries that Hegel’s arguments fail to fit his account of dialectics (see section 2, above) have led some interpreters to conclude that his method is arbitrary or that his works have no single dialectical method at all (Findlay 1962: 93; Solomon 1983: 21). These interpreters reject the idea that there is any logical necessity to the moves from stage to stage. “[T]he important point to make here, and again and again”, Robert C. Solomon writes, for instance, 

is that the transition from the first form to the second, or the transition from the first form of the Phenomenology all the way to the last, is not in any way a deductive necessity. The connections are anything but entailments, and the Phenomenology could always take another route and other starting points. (Solomon 1983: 230) 

In a footnote to this passage, Solomon adds “that a formalization of Hegel’s logic, however ingenious, is impossible” (Solomon 1983: 230).

Some scholars have argued that Hegel’s necessity is not intended to be logical necessity. Walter Kaufmann suggested, for instance, that the necessity at work in Hegel’s dialectic is a kind of organic necessity. The moves in the Phenomenology, he said, follow one another “in the way in which, to use a Hegelian image from the preface, bud, blossom and fruit succeed each other” (Kaufmann 1965: 148; 1966: 132). Findlay argued that later stages provide what he called a “higher-order comment” on earlier stages, even if later stages do not follow from earlier ones in a trivial way (Findlay 1966: 367). Solomon suggested that the necessity that Hegel wants is not “‘necessity’ in the modern sense of ‘logical necessity,’” (Solomon 1983: 209), but a kind of progression (Solomon 1983: 207), or a “necessity within a context for some purpose” (Solomon 1983: 209). John Burbidge defines Hegel’s necessity in terms of three senses of the relationship between actuality and possibility, only the last of which is logical necessity (Burbidge 1981: 195–6).

Other scholars have defined the necessity of Hegel’s dialectics in terms of a transcendental argument. A transcendental argument begins with uncontroversial facts of experience and tries to show that other conditions must be present—or are necessary—for those facts to be possible. Jon Stewart argues, for instance, that “Hegel’s dialectic in the Phenomenology is a transcendental account” in this sense, and thus has the necessity of that form of argument (Stewart 2000: 23; cf. Taylor 1975: 97, 226–7; for a critique of this view, see Pinkard 1988: 7, 15).

Some scholars have avoided these debates by interpreting Hegel’s dialectics in a literary way. In his examination of the epistemological theory of the Phenomenology, for instance, Kenneth R. Westphal offers “a literary model” of Hegel’s dialectics based on the story of Sophocles’ playAntigone (Westphal 2003: 14, 16). Ermanno Bencivenga offers an interpretation that combines a narrative approach with a concept of necessity. For him, the necessity of Hegel’s dialectical logic can be captured by the notion of telling a good story—where “good” implies that the story is both creative and correct at the same time (Bencivenga 2000: 43–65).

Debate over whether Hegel’s dialectical logic is logical may also be fueled in part by discomfort with his particular brand of logic. Unlike today’s symbolic logics, Hegel’s logic is not only syntactic, but also semantic (cf. Berto 2007; Maybee 2009: xx–xxv; Margolis 2010: 193–94). Hegel’s interest in semantics appears, for instance, in the very first stages of his logic, where the difference between Being and Nothing is “something merely meant” (EL-GSH Remark to §87; cf. section 2 above). While some of the moves from stage to stage are driven by syntactic necessity, other moves are driven by the meanings of the concepts in play. Indeed, Hegel rejected what he regarded as the overly formalistic logics that dominated the field during his day (EL Remark to §162; SL-M 43–44; SL-dG 24). A logic that deals only with the forms of logical arguments and not the meanings of the concepts used in those argument forms will do no better in terms of preserving truth than the old joke about computer programs suggests: garbage in, garbage out. In those logics, if we (using today’s versions of formal, symbolic logic) plug in something for the P or Q (in the proposition “if P then Q” or “P → Q”, for instance) or for the “F”, “G”, or “x” (in the proposition “if F is x, then G is x” or “Fx → Gx”, for instance) that means something true, then the syntax of formal logics will preserve that truth. But if we plug in something for those terms that is untrue or meaningless (garbage in), then the syntax of formal logic will lead to an untrue or meaningless conclusion (garbage out). Today’s versions of prepositional logic also assume that we know what the meaning of “is” is. Against these sorts of logics, Hegel wanted to develop a logic that not only preserved truth, but also determined how to construct truthful claims in the first place. A logic that defines concepts (semantics) as well as their relationships with one another (syntax) will show, Hegel thought, how concepts can be combined into meaningful forms. Because interpreters are familiar with modern logics focused on syntax, however, they may regard Hegel’s syntactic and semantic logic as not really logical (cf. Maybee 2009: xvii–xxv).

In Hegel’s other works, the moves from stage to stage are often driven, not only by syntax and semantics—that is, by logic (given his account of logic)—but also by considerations that grow out of the relevant subject matter. In the Phenomenology, for instance, the moves are driven by syntax, semantics, and by phenomenological factors. Sometimes a move from one stage to the next is driven by a syntactic need—the need to stop an endless, back-and-forth process, for instance, or to take a new path after all the current options have been exhausted (cf. section 5). Sometimes, a move is driven by the meaning of a concept, such as the concept of a “This” or “Thing”. And sometimes a move is driven by a phenomenological need or necessity—by requirements of consciousness, or by the fact that the Phenomenology is about a consciousnessthat claims to be aware of (or to know) something. The logic of the Phenomenology is thus a phenomeno-logic, or a logic driven by logic—syntax and semantics—and by phenomenological considerations. Still, interpreters such as Quentin Lauer have suggested that, for Hegel, 

phenomeno-logy is a logic of appearing, a logic of implication, like any other logic, even though not of the formal entailment with which logicians and mathematicians are familiar. (Lauer 1976: 3) 

Lauer warns us against dismissing the idea that there is any implication or necessity in Hegel’s method at all (Lauer 1976: 3). (Other scholars who also believe there is a logical necessity to the dialectics of the Phenomenology include Hyppolite 1974: 78–9 and H.S. Harris 1997: xii.)

We should also be careful not to exaggerate the “necessity” of formal, symbolic logics. Even in these logics, there can often be more than one path from some premises to the same conclusion, logical operators can be dealt with in different orders, and different sets of operations can be used to reach the same conclusions. There is therefore often no strict, necessary “entailment” from one step to the next, even though the conclusion might be entailed by the whole series of steps, taken together. As in today’s logics, then, whether Hegel’s dialectics counts as logical depends on the degree to which he shows that we are forced—necessarily—from earlier stages or series of stages to later stages (see also section 5).

5. Syntactic patterns and special terminology in Hegel’s dialectics

Although Hegel’s dialectics is driven by syntax, semantics and considerations specific to the different subject matters (section 4 above), several important syntactic patterns appear repeatedly throughout his works. In many places, the dialectical process is driven by a syntactic necessity that is really a kind of exhaustion: when the current strategy has been exhausted, the process is forced, necessarily, to employ a new strategy. As we saw (section 2), once the strategy of treating Being and Nothing as separate concepts is exhausted, the dialectical process must, necessarily, adopt a different strategy, namely, one that takes the two concepts together. The concept of Becoming captures the first way in which Being and Nothing are taken together. In the stages of Quantum through Number, the concepts of One and Many take turns defining the whole quantity as well as the quantitative bits inside that make it up: first, the One is the whole, while the Many are the bits; then the whole and the bits are all Ones; then the Many is the whole, while the bits are each a One; and finally the whole and the bits are all a Many. We can picture the development like this (cf. Maybee 2009, xviii–xix):4 figures each contains a rounded corner rectangle bisected by a vertical rod. In #1 the rectangle boundary is labeled 'One' and each half is labeled 'Many'; the caption reads:'Quantum: 'one' refers to the outer boundary, 'many' within. #2 has the boundary also labeled 'One' but the halves labeled 'ones'; the caption reads: Number: 'one' on all sides. #3 has the boundary labeled 'Many' and the halves labeled 'Each a one'; the caption reads: Extensive and Intensive Magnitude: 'many' on the outer boundary, 'one' within'. #4 the rounded rectangle is enclosed by a box; the two halves are labeled 'Many (within)' and the space between the rectangle and the box is labeled 'Many (without)'; the caption reads: Degree: 'many' on all sides.

Figure 9

Since One and Many have been exhausted, the next stage, Ratio, must, necessarily, employ a different strategy to grasp the elements in play. Just as Being-for-itself is a concept of universality for Quality and captures the character of a set of something-others in its content (seesection 1), so Ratio (the whole rectangle with rounded corners) is a concept of universality for Quantity and captures the character of a set of quantities in its content (EL §105–6; cf. Maybee 2009, xviii–xix, 95–7). In another version of syntactic necessity driven by exhaustion, the dialectical development will take account of every aspect or layer, so to speak, of a concept or form—as we saw in the stages of Purpose outlined above, for instance (section 2). Once all the aspects or layers of a concept or form have been taken account of and so exhausted, the dialectical development must also, necessarily, employ a different strategy in the next stage to grasp the elements in play.

In a second, common syntactic pattern, the dialectical development leads to an endless, back-and-forth process—a “bad” (EL-BD §94) or “spurious” (EL-GSH §94) infinity—between two concepts or forms. Hegel’s dialectics cannot rest with spurious infinities. So long as the dialectical process is passing endlessly back and forth between two elements, it is never finished, and the concept or form in play cannot be determined. Spurious infinities must therefore be resolved or stopped, and they are always resolved by a higher-level, more universal concept. In some cases, a new, higher-level concept is introduced that stops the spurious infinity by grasping the whole, back-and-forth process. Being-for-itself (cf. section 1), for instance, is introduced as a new, more universal concept that embraces—and hence stops—the whole, back-and-forth process between “something-others”. However, if the back-and-forth process takes place between a concept and its own content—in which case the concept already embraces the content—then that embracing concept is redefined in a new way that grasps the whole, back-and-forth process. The new definition raises the embracing concept to a higher level of universality—as a totality (an “all”) or as a complete and completed concept. Examples from logic include the redefinition of Appearance as the whole World of Appearance (EL §132; cf. SL-M 505–7, SL-dG 443–4), the move in which the endless, back-and-forth process of Real Possibility redefines the Condition as a totality (EL §147; cf. SL-M 547, SL-dG 483), and the move in which a back-and-forth process created by finite Cognition and finite Willing redefines the Subjective Idea as Absolute Idea (EL §§234–5; cf. SL-M 822–3, SL-dG 733–4).

Some of the most famous terms in Hegel’s works—“in itself [an sich]”, “for itself [für sich]” and “in and for itself [an und für sich]”—capture other, common, syntactic patterns. A concept or form is “in itself” when it has a determination that it gets by being defined against its “other” (cf. Being-in-itself, EL §91). A concept or form is “for itself” when it is defined only in relation to its own content, so that, while it is technically defined in relation to an “other”, the “other” is not really an “other” for it. As a result, it is really defined only in relation to itself. Unlike an “in itself” concept or form, then, a “for itself” concept or form seems to have its definition on its own, or does not need a genuine “other” to be defined (like other concepts or forms, however, “for itself” concepts or forms turn out to be dialectical too, and hence push on to new concepts or forms). In the logic, Being-for-itself (cf. section 1), which is defined by embracing the “something others” in its content, is the first, “for itself” concept or form.

A concept or form is “in and for itself” when it is doubly “for itself”, or “for itself” not only in terms of content—insofar as it embraces its content—but also in terms of form or presentation, insofar as it also has the activity of presenting its content. It is “for itself” (embraces its content) for itself (through its own activity), or not only embraces its content (the “for itself” of content) but also presents its content through its own activity (the “for itself” of form). The second “for itself” of form provides the concept with a logical activity (i.e., presenting its content) and hence a definition that goes beyond—and so is separate from—the definition that its content has. Since it has a definition of its own that is separate from the definition of its content, it comes to be defined—in the “in itself” sense—against its content, which has become its “other”. Because this “other” is still its own content, however, the concept or form is both “in itself” but also still “for itself” at the same time, or is “in and for itself” (EL §§148–9; cf. Maybee 2009: 244–6). The “in and for itself” relationship is the hallmark of a genuine Concept (EL §160), and captures the idea that a genuine concept is defined not only from the bottom up by its content, but also from the top down through its own activity of presenting its content. The genuine concept of animal, for instance, is not only defined by embracing its content (namely, all animals) from the bottom up, but also has a definition of its own, separate from that content, that leads it to determine (and so present), from the top down, what counts as an animal.

Other technical, syntactic terms include aufheben (“to sublate”), which we already saw (section 1), and “abstract”. To say that a concept or form is “abstract” is to say that it is only a partial definition. Hegel describes the moment of understanding, for instance, as abstract (EL §§79, 80) because it is a one-sided or restricted definition or determination (section 1). Conversely, a concept or form is “concrete” in the most basic sense when it has a content or definition that it gets from being built out of other concepts or forms. As we saw (section 2), Hegel regarded Becoming as the first concrete concept in the logic.

Although Hegel’s writing and his use of technical terms can make his philosophy notoriously difficult, his work can also be very rewarding. In spite of—or perhaps because of—the difficulty, there are a surprising number of fresh ideas in his work that have not yet been fully explored in philosophy. 

Bibliography
English Translations of Key Texts by Hegel
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  • Solomon, Robert C., 1983, In the Spirit of Hegel: A Study of G.W.F. Hegel’s “Phenomenology of Spirit”, New York: Oxford University Press.
  • Stace, W.T., 1955 [1924], The Philosophy of Hegel: A Systematic Exposition, New York: Dover Publications. (This edition is a reprint of the first edition, published in 1924.)
  • Stewart, Jon, 1996, “Hegel’s Doctrine of Determinate Negation: An Example from ‘Sense-certainty’ and ‘Perception’”, Idealistic Studies, 26(1): 57–78.
  • –––, 2000, The Unity of Hegel’s “Phenomenology of Spirit”: A Systematic Interpretation, Evanston, IL: Northwestern University Press.
  • Taylor, Charles, 1975, Hegel, Cambridge: Cambridge University Press.
  • Wandschneider, Dieter, 2010, “Dialectic as the ‘Self-Fulfillment’ of Logic”, translated by Anthony Jensen, in The Dimensions of Hegel’s Dialectic, Nectarios G. Limmnatis (ed.), London: Continuum, pp. 31–54.
  • Westphal, Kenneth R., 2003, Hegel’s Epistemology: A Philosophical Introduction to the “Phenomenology of Spirit”, Indianapolis, IN: Hackett Publishing Company.
  • Winfield, Richard Dien, 1990, “The Method of Hegel’s Science of Logic”, in Essays on Hegel’s Logic, George di Giovanni (ed.), Albany, NY: State University of New York, pp. 45–57.

My Related Posts

Networks, Narratives, and Interaction

Phenomenology and Symbolic Interactionism

Narrative, Rhetoric and Possible Worlds

Kenneth Burke and Dramatism

Erving Goffman: Dramaturgy of Social Life

Phenomenological Sociology

Drama Therapy: Self in Performance

Drama Theory: Choices, Conflicts and Dilemmas

Drama Theory: Acting Strategically

Global Trends, Scenarios, and Futures: For Foresight and Strategic Management

Shell Oil’s Scenarios: Strategic Foresight and Scenario Planning for the Future

Strategy | Strategic Management | Strategic Planning | Strategic Thinking

Third and Higher Order Cybernetics

Society as Communication: Social Systems Theory of Niklas Luhmann

Key Sources of Research

Dialectic

https://en.wikipedia.org/wiki/Dialectic

Hegel’s Dialectic

https://plato.stanford.edu/entries/hegel-dialectics/

A Study of Hegelian Dialectical Embodiment in “Nostromo” written by Joseph Conrad

Asieh Beiranvand , Shahram Afrougheh , Elham Ahmadi

“Organizational Research Methods: Storytelling In Action”

Boje, David M. (2018)

URL = <https://davidboje.com/ORM_Storytelling_in_Action_Book/index&gt;

https://davidboje.com/655/ORM_Storytelling_in_Action_BOOK/Hegel_dialectics_chapter.htm

Using Dialectical Thinking to Manage Emotions

https://www.mindsoother.com/blog/using-dialectical-thinking-to-manage-emotions

ON CREATIVE DIALECTICS

OR WHY ISN’T THERE A SEAM ON THE COLORWHEEL?

Ian Gonsher

Dialectics for the New Century

Edited by
Bertell Ollman and Tony Smith

Strategies in Dialectic and Rhetoric

Erik C W Krabbe Groningen University

on ‘The Dialectics of Outside and Inside’ and ‘Intimate Immensity’

The Dialectic of the Nature-Society-System

  • Christian Fuchs
  • ICT&S Center – Advanced Studies and Research in Information and Communication Technologies & Society, University of Salzburg

DOI: https://doi.org/10.31269/triplec.v4i1.24

https://www.triple-c.at/index.php/tripleC/article/view/24

Dialectics and Systems Theory 

Richard Levins

Chapter 3 in Book Dialectics for the New Century

Edited by Bertell Ollman and Tony Smith

Contradictions, Dialectics and Paradoxes

  • January 2016
  • In book: SAGE HANDBOOK OF PROCESS ORGANIZATION STUDIES
  • Publisher: Sage
  • Editors: Ann Langley, Haridimos Tsoukas

Moshe Farjoun

https://www.researchgate.net/publication/282730228_Contradictions_Dialectics_and_Paradoxes

Strategy and dialectics: Rejuvenating a long-standing relationship

Moshe Farjoun

York University, Canada

Strategic Organization 2019, Vol. 17(1) 133–144

https://journals.sagepub.com/doi/pdf/10.1177/1476127018803255

https://journals.sagepub.com/doi/10.1177/1476127018803255

Contradictions, Dialectics, and Paradoxes in Organizations: A Constitutive Approach

Linda L. Putnam, Gail T. Fairhurst and Scott Banghart

Published Online:1 Jan 2016

https://doi.org/10.5465/19416520.2016.1162421

The Development of Dialectical Thinking As An Approach to Integration

  • June 2005

Michael Basseches

  • Suffolk University

https://www.researchgate.net/publication/26507960_The_Development_of_Dialectical_Thinking_As_An_Approach_to_Integration

CULTURE, DIALECTICS, AND REASONING ABOUT CONTRADICTION

Kaiping Peng
University of California at Berkeley

Richard E. Nisbett University of Michigan

https://deepblue.lib.umich.edu/bitstream/handle/2027.42/91930/culture_and_dialectics.pdf?sequence=1

Relating dialogue and dialectics: a philosophical perspective

Manolis Dafermos

University of Crete, Greece

Dialogic Pedagogy: An International Online Journal | http://dpj.pitt.edu

DOI: 10.5195/dpj.2018.189 | Vol. 6 (2018)

Towards a Social-Relational Dialectic for World Politics

Brincat, Shannon

2011

European Journal of International Relations

https://research-repository.griffith.edu.au/bitstream/handle/10072/60820/94160_1.pdf;jsessionid=F573AC5F1A7F3EBB5E6A5F325C8886C5?sequence=1

How to Actualize the Whole Possibility: The Necessity-Contingency Dialectic in Hegel’s Science of Logic

by Nahum Brown

Guelph, Ontario, Canada © Nahum Brown, 2014

John Rowan: Dialectical Thinking

http://gwiep.net/wp/?p=427

The current state of scenario development: an overview of techniques

Peter Bishop, Andy Hines and Terry Collins

foresight. VOL. 9 NO. 1 2007

Ensemble Theory: Arguing Across and Within Scenarios

Peter McBurney

Department of Computer Science University of Liverpool Liverpool L69 7ZF UK p.j.mcburney@csc.liv.ac.uk Tel: + 44 151 794 6760

Simon Parsons
Sloan School of Management Massachusetts Institute of Technology Cambridge MA USA sparsons@mit.edu

In Conference Probing the Future: Developing Organizational Foresight in the Knowledge Economy

11-13th July 2002

The art of disputation: dialogue, dialectic and debate around 800

Irene van Renswoude

First published: 06 January 2017 

https://doi.org/10.1111/emed.12185

https://onlinelibrary.wiley.com/doi/full/10.1111/emed.12185


Dialogic and Dialectic: clarifying an important distinction

29/6/2017

Rupert Wegerif

https://www.rupertwegerif.name/blog/dialogic-and-dialectic-clarifying-an-important-distinction

Shaping the Next One Hundred Years

New Methods for Quantitative, Long-Term Policy Analysis

Robert J. Lempert Steven W. Popper Steven C. Bankes

Published 2003 by RAND
1700 Main Street, P.O. Box 2138, Santa Monica, CA 90407-2138

1200 South Hayes Street, Arlington, VA 22202-5050
201 North Craig Street, Suite 202, Pittsburgh, PA 15213-1516

RAND URL: http://www.rand.org/

DIALECTIC: EUROPEAN AND ASIAN VARIETIES

Revised version of an article published as “Dialectic: East and West,” Indian Philosophical Quarterly 10 (January, 1983), pp. 207-218.

https://www.webpages.uidaho.edu/ngier/dialectic.htm

DESIGN FOR SUPPORTING DIALECTICAL CONSTRUCTIVIST LEARNING ACTIVITIES

Yu Wu1, Patrick C. Shih1, John M. Carroll1

College of Information Sciences and Technology, Penn State University

Political Event and Scenario Analysis Using GDSS: An Application to the Business Future of Hong Kong

Robert Blanning

Vanderbilt University

Bruce Reinig

Hong Kong University of Science and Technology

Rhetoric and dialectic in the twenty-first century 

Michael Leff

(1999). OSSA Conference Archive. 3.

https://scholar.uwindsor.ca/ossaarchive/OSSA3/keynotes/3

https://scholar.uwindsor.ca/cgi/viewcontent.cgi?article=1847&context=ossaarchive&httpsredir=1&referer=

Dialogical and Dialectical Thinking

Culture, Dialectics, and Reasoning About Contradiction

Kaiping Peng

Richard E. Nisbett

September 1999 • American Psychologist

structural dialectical approach in psychology: problems and research results

Nikolay E. Veraksa*, Anastasiya K. Belolutskaya**,
Irina I. Vorobyeva*, Eugene E. Krasheninnikov*,
Elena V. Rachkova***, Igor B. Shiyan**, Olga A. Shiyan

Psychology in Russia: State of the Art
Russian Psychological Volume 6, Issue 2, 2013

Click to access veraksa_pr_2013_2_65-77.Pdf

Integrating Dialectical and Paradox Perspectives on Managing Contradictions in Organizations

Timothy J Hargrave

Central Washington University, USA

Andrew H Van de Ven

University of Minnesota, USA

Organization Studies 2017, Vol. 38(3-4) 319–339

https://journals.sagepub.com/doi/pdf/10.1177/0170840616640843

ORGANIZATIONAL DIALECTICS

Stewart Clegg

Grasping the dynamics within paradox
– comparing exogenous and endogenous approaches to paradox using social systems theory

Harald Tuckermann, Simone Gutzan, Camille Leutenegger, Johannes Rüegg-Stürm, Institute of Systemic Management and Public Governance, University of St. Gallen, Dufourstrasse 40a, 9008 St. Gallen, Switzerland, Email: harald.tuckermann@unisg.ch

Drama Theory: Choices, Conflicts and Dilemmas

Drama Theory: Choices, Conflicts and Dilemmas

 

Key Terms

  • Scenes
  • Scenario
  • Games
  • Conflicts
  • Cooperation
  • Agreements
  • Harmony
  • Dissonance
  • Dilemma
  • Drama Theory
  • Game Theory
  • Rationality
  • Irrationality
  • Choices
  • Interdependent Decisions
  • Operations Research
  • Chain of Events
  • Situations
  • Cascading effects
  • Situational Awareness
  • Paradoxes
  • Uncertainty
  • Complexity
  • Human Fragility
  • Human Fallibility
  • Outcomes / Results
  • Social Landscape
  • Natya Shastra
  • Social Simulation
  • Social Interaction
  • Social Psychology
  • Hermenutics
  • Inter-subjective Interpretation
  • Inter-objective Analysis
  • Art and Culture
  • Humanities Vs Science
  • Culture Vs Nature

 

I discuss below Pakistani TV Dramas as an example of drama theory.

 

Pakistani TV Drama Serials

Recently I was introduced to Pakistani TV Dramas.  They are in Urdu/Hindi language and available on Youtube for free.  I list selected ones below. The ones I have seen so far.

  • Baaghi
  • Sangat
  • Digest Writer
  • Mein Sitara

Pakistani actor Saba Qamar plays leading role in each of the dramas.  Her performance in each one is the finest and classiest I have seen in Cinema/TV Drama/Movies.  In each of these dramas, main character played by Saba Qamar is faced by choices, desires, ambitions, conflicts, and family responsibilities in a society where women abuse, corruption, self interest, deceit, cunning, manipulation, extortion, exploitation, poverty, rich-poor divide, rural-urban divide, men in power, english/urdu divide, and religious/cultural/social/family norms and traditions define her ecosystem and its limits and boundaries..

She is faced with issues of societal respect, approval, and morality in contemporary pakistani society.  What would people say? What would family say? Society matters.  Family matters.  Choices and dilemmas she faces and actions/decisions she takes define her life.  Outcomes of the dramas display human fragility, fallibility, and sometimes profile in courage.

Sequence of events is dependent on interdependent decisions and actions by the characters in the drama.

Path taken creates the path dependency.  There are no retreats.  Future is threatened. Only rise or fall ahead. Fame and fortune or shame and failure.

Lost in this ecosystem is love, innocence, and simplicity.

While navigating her life in harsh and cruel world, she preserves her innate goodness, and unfathomable grace.

As a responsible and loving mother. As a responsible daughter and sister.

As a human being.

Saba Qamar brings in unmatched depth and sensitivity to her performance in each of the drama I listed above. Ofcourse, all other characters create the situations and dilemmas for her.

What should she do?  Her choices and dilemmas

What does she do?  Her actions and decisions

What should she have done? Society/Viewers value systems / World views/Opinions

Are there alternative desired outcomes?  Reflection, Learning, Insights, Changes, and Modifications

 

 

Drama Theory From Wikipedia

Drama theory is one of the problem structuring methods in operations research. It is based on game theory and adapts the use of games to complex organisational situations, accounting for emotional responses that can provoke irrational reactions and lead the players to redefine the game. In a drama, emotions trigger rationalizations that create changes in the game, and so change follows change until either all conflicts are resolved or action becomes necessary. The game as redefined is then played.

Drama theory was devised by Professor Nigel Howard in the early 90s and, since then, has been turned to defense, political, health, industrial relations and commercial applications. Drama theory is an extension of Howard’s metagame analysis work developed at the University of Pennsylvania in the late 1960s, and presented formally in his book “Paradoxes of Rationality”, published by MIT Press. Metagame analysis was originally used to advise on the Strategic Arms Limitation Talks (SALT).

Basics of drama theory

A drama unfolds through episodes in which characters interact. The episode is a period of preplay communication between characters who, after communicating, act as players in a game that’s constructed through the dialogue between them. The action that follows the episode is the playing out of this game; it sets up the next episode. Most drama-theoretic terminology is derived from a theatrical model applied to real life interactions; thus, an episode goes through phases of scene-setting, build-up, climax and decision. This is followed by denouement, which is the action that sets up the next episode. The term ‘drama theory’ and the use of theatrical terminology is justified by the fact that the theory applies to stage plays and fictional plots as well as to politics, war, business, personal and community relations, psychology, history and other kinds of human interaction. It was applied to help with the structuring of Prisoner’s Dilemma, a West End play by David Edgar about the problems of peace-keeping.

In the build-up phase of an episode, the characters exchange ideas and opinions in some form or another and try to advocate their preferred position – the game outcome that they are hoping to see realised. The position each character takes may be influenced by others’ positions. Each character also presents a fallback or stated intention. This is the action (i.e., individual strategy) a character says it will implement if current positions and stated intentions do not change. Taken together, the stated intentions form what is called a threatened future if they contradict some character’s position; if they do not – i.e., if they implement every position – they form what is called an agreement.

When it is common knowledge among the characters that positions and stated intentions are seen by their presenters as ‘final’, the build-up ends and the parties reach a moment of truth. Here they usually face dilemmas arising from the fact that their threats or promises are incredible or inadequate. Different dilemmas are possible depending on whether or not there is an agreement. If there is an agreement (i.e., stated intentions implement every position), the possible dilemmas resemble those found in the prisoner’s dilemma game; they arise from characters distrusting each other’s declared intention to implement the agreement. If there is no agreement, more dilemmas are possible, resembling those in the game of chicken; they arise from the fact that a character’s threat or its determination to stick to its position and reject other positions may be incredible to another character.

Drama theory asserts that a character faced with a dilemma feels specific positive or negative emotions that it tries to rationalize by persuading itself and others that the game should be redefined in a way that eliminates the dilemma; for example, a character with an incredible threat makes it credible by becoming angry and finding reasons why it should prefer to carry out the threat; likewise, a character with an incredible promise feels positive emotion toward the other as it looks for reasons why it should prefer to carry its promise. Emotional tension leads to the climax, where characters re-define the moment of truth by finding rationalizations for changing positions, stated intentions, preferences, options or the set of characters. There is some experimental evidence to confirm this assertion of drama theory (see P. Murray-Jones, L. Stubbs and N. Howard, ‘Confrontation and Collaboration Analysis: Experimental and Mathematical Results’, presented at the 8th International Command & Control Research and Technology Symposium, June, 2003—from whose site it can be downloaded.

Six dilemmas (formerly called paradoxes) are defined, and it is proved that if none of them exist then the characters have an agreement that they fully trust each other to carry out. This is the fundamental theorem of drama theory. Until a resolution meeting these conditions is arrived at, the characters are under emotional pressure to rationalize re-definitions of the game that they will play. Re-definitions inspired by new dilemmas then follow each other until eventually, with or without a resolution, characters become players in the game they have defined for themselves. In game-theoretic terms, this is a ‘game with a focal point’ – i.e., it is a game in which each player has stated its intention to implement a certain strategy. This strategy is its threat (part of the threatened future) if an agreement has not been reached, and its promise (part of the agreement), if an agreement has been reached. At this point, players (since they are playing a game) decide whether to believe each other, and so to predict what others will do in order to decide what to do themselves.

Dilemmas defined in drama theory

The dilemmas that character A may face with respect to another character B at a moment of truth are as follows.

  1. A’s cooperation dilemma: B doesn’t believe A would carry out its actual or putative promise to implement B’s position.
  2. A’s trust dilemma: A doesn’t believe B would carry out its actual or putative promise to implement A’s position.
  3. A’s persuasion (also known as Deterrence) dilemma: B certainly prefers the threatened future to A’s position.
  4. A’s rejection (also known as Inducement) dilemma: A may prefer B’s position to the threatened future.
  5. A’s threat dilemma: B doesn’t believe A would carry out its threat not to implement B’s position.
  6. A’s positioning dilemma: A prefers B’s position to its own, but rejects it (usually because A considers B’s position to be unrealistic).

Relationship to game theory

Drama-theorists build and analyze models (called card tables or options boards) that are isomorphic to game models, but unlike game theorists and most other model-builders, do not do so with the aim of finding a ‘solution’. Instead, the aim is to find the dilemmas facing characters and so help to predict how they will re-define the model itself – i.e., the game that will be played. Such prediction requires not only analysis of the model and its dilemmas, but also exploration of the reality outside the model; without this it is impossible to decide which ways of changing the model in order to eliminate dilemmas might be rationalized by the characters.

The relation between drama theory and game theory is complementary in nature. Game theory does not explain how the game that is played is arrived at – i.e., how players select a small number of players and strategies from the virtually infinite set they could select, and how they arrive at common knowledge about each other’s selections and preferences for the resulting combinations of strategies. Drama theory tries to explain this, and also to explain how the ‘focal point’ is arrived at for the ‘game with a focal point’ that is finally played. On the other hand, drama theory does not explain how players will act when they finally have to play a particular ‘game with a focal point’, even though it has to make assumptions about this. This is what game theory tries to explain and predict.

See also

References

  • N. Howard, ‘Confrontation Analysis’, CCRP Publications, 1999. Available from the CCRP website.
  • P. Bennett, J. Bryant and N. Howard, ‘Drama Theory and Confrontation Analysis’ — can be found (along with other recent PSM methods) in: J. V. Rosenhead and J. Mingers (eds) Rational Analysis for a Problematic World Revisited: problem structuring methods for complexity, uncertainty and conflict, Wiley, 2001.

Further reading

  • J. Bryant, The Six Dilemmas of Collaboration: inter-organisational relationships as drama, Wiley, 2003.
  • N. Howard, Paradoxes of Rationality‘, MIT Press, 1971.