Brahman: Absolute Consciousness in Advait (Non Dual) Vedanta Philosophy

Brahman: Absolute Consciousness in Advait (Non Dual) Vedanta Philosophy

Key Terms

  • Brahman
  • Maya
  • Witness Consciousness
  • Non-dual (Advait) Vedanta Philosophy
  • Philosophy
  • Vedic Philosophy
  • Subject Object
  • Subject Subject
  • Subject Meta-Subject
  • Absolute Consciousness
  • Phenomenal Consciousness
  • Turiya
  • Awareness
  • Adi Shankara
  • Sakshi
  • Akash and Prakash
  • Mayavad
  • Truth, Value and Freedom

Source: “Contemporary Interpretations of Shankara’s Advaita and the Affirmation of the World.”

Bhattacharyya’s most remarkable idea is his notion of the Absolute as alternation. Instead of the Hegelian absolutization of the Absolute, he chose the dialectics of alternation both at transcendental and empirical levels of reality. The triple functions of consciousness in relation to its contents are: knowing, feeling, and willing. Each of them has its own formulation of the Absolute, namely truth, value, and freedom respectively. When cognition is given importance, the Absolute is viewed as truth; when emotion (devotion) is given importance, it is viewed as value; and when volition is given importance, it is viewed as freedom. These conceptions of the Absolute cannot be unified into one, because each is Absolute in turn.7 For Bhattacharyya, this alternation is not just our symbolic speakingabout the one Absolute in three distinct ways, but the very constitution (dynamics) of the Absolute.8

Source: “Contemporary Interpretations of Shankara’s Advaita and the Affirmation of the World.”

The idealist view of life and reality, which Radhakrishnan calls religion of the spirit, perceives the universe as ultimately spiritual. Brahman (Atman/ the Spirit) being the ultimate truth and the universe its self-manifestation, the spirit is our deepest self.

Radhakrishnan wanted all historical religions to transform themselves into the religion of the spirit, a spiritual vision that transforms the world and ensures human unity, universal moral order, and world peace.

Radhakrishnan tried to work out a positive account of the world by interfacing three concepts – Brahman (the Absolute), Ishvara (God), and the world. Brahman considered in its self-identity as pure consciousness is beyond all distinctions, qualifications, and descriptions. This one, absolute being, however, manifests itself as the world. The world is just one possibility of Brahman’s self-manifestation; other possibilities we may not know.

Brahman in its relation to the world is Ishvara (God). Ishvara is Brahman’s creative aspect, conceived as creator, redeemer, and judge. Immanent in the world, Ishvara guides and transforms it. Ishvara lasts as long as the world-process lasts. Although the transformation of the world is God’s action, it is essentially linked with human transformation. Despite limitations, human evolution and progress is teleological and moves toward a greater good.10 Human calling is to co-operate with the divine plan for the world’s transformation.

Typical of an Advaitin, Radhakrishnan held that our deepest self (atman) is identical to the transcendental Self (Atman) and is above transmigration. What is subject to transmigration is jiva, the empirical self. The world-process lasts until all jivas are liberated.11 When all jivas are liberated, the world will be transformed into Brahma-loka (the kingdom of God). The world and all jivas become one with God and God will be all in all. And finally the Brahma-loka, along with Ishvara, will lapse into Brahman. Thus Brahman remains the beginning and the end of the world. If and when another world-process begins is left to the freedom of Brahman.

“Contemporary Interpretations of Shankara’s Advaita and the Affirmation of the World.”

Source: “Contemporary Interpretations of Shankara’s Advaita and the Affirmation of the World.”

Source: “Contemporary Interpretations of Shankara’s Advaita and the Affirmation of the World.”

Source: “Contemporary Interpretations of Shankara’s Advaita and the Affirmation of the World.”

Source: “Contemporary Interpretations of Shankara’s Advaita and the Affirmation of the World.”

Source: “Contemporary Interpretations of Shankara’s Advaita and the Affirmation of the World.”

Source: “Contemporary Interpretations of Shankara’s Advaita and the Affirmation of the World.”

Source: “Contemporary Interpretations of Shankara’s Advaita and the Affirmation of the World.”

Source: “Contemporary Interpretations of Shankara’s Advaita and the Affirmation of the World.”

Advaita and the philosophy of consciousness without an object

Source: Advaita and the philosophy of consciousness without an object

Source: Advaita and the philosophy of consciousness without an object

Source: Advaita and the philosophy of consciousness without an object

Source: Advaita and the philosophy of consciousness without an object

Source: Advaita and the philosophy of consciousness without an object

Source: Advaita and the philosophy of consciousness without an object

Source: Advaita and the philosophy of consciousness without an object

Source: Advaita and the philosophy of consciousness without an object

Source: Advaita and the philosophy of consciousness without an object

Source: Advaita and the philosophy of consciousness without an object

Source: Advaita and the philosophy of consciousness without an object

My Related Posts

You can search for these posts using Search Posts feature in the right sidebar.

  • Transcendental Self in Kant and Shankara
  • Ether in Kant and Akasa in Prasastapada: Philosophy in comparative perspective
  • God, Space and Nature
  • Purush – The Cosmic Man
  • The Transcendental Self
  • Ervin Laszlo and the Akashic Field
  • Five Types of Systems Philosophy
  • Hua Yan Buddhism : Reflecting Mirrors of Reality
  • Indira’s Pearls: Apollonian Gasket, Circle and Sphere Packing
  • Process Physics, Process Philosophy
  • Networks and Boundaries
  • Networks and Hierarchies
  • Myth of Invariance: Sound, Music, and Recurrent Events and Structures
  • Sounds True:  Speech, Language, and Communication
  • Consciousness of Cosmos: A Fractal, Recursive, Holographic Universe
  • Fractal and Multifractal Structures in Cosmology
  • Cantor Sets, Sierpinski Carpets, Menger Sponges
  • Fractal Geometry and Hindu Temple Architecture
  • Rituals | Recursion | Mantras | Meaning : Language and Recursion
  • From Systems to Complex Systems
  • Hierarchy Theory in Biology, Ecology and Evolution
  • Theories of the Self 
  • Theories of Consciousness
  • What is Yogacara Buddhism (Consciousness Only School)?
  • Self and Other: Subjectivity and Intersubjectivity
  • A Calculus for Self Reference, Autopoiesis, and Indications
  • Individual Self, Relational Self, and Collective Self
  • Semiotic Self and Dialogic Self 
  • Drama Therapy: Self in Performance
  • Narrative Psychology: Language, Meaning, and Self
  • Mind, Consciousness, and Quantum Entanglement 
  • Geometry of Consciousness
  • The Harmonic Origins of the World
  • From Individual to Collective Intentionality
  • Lifeworld, System, and Intersubjectivity: Jurgen Habermas’ Communication Theory of Society
  • Intersubjectivity in Buddhism
  • Meditations on Emptiness and Fullness
  • Charles Sanders Peirce’s Continuum
  • What and Why of Virtue Ethics ?
  • The Aesthetics of Charles Sanders Peirce
  • Individual, Relational, and Collective Reflexivity
  • Semiotics and Systems
  • Dialogs and Dialectics
  • Phenomenological Sociology
  • Phenomenology and Symbolic Interactionism
  • Aesthetics and Ethics
  • Maha Vakyas: Great Aphorisms in Vedanta
  • On Synchronicity
  • Truth, Beauty, and Goodness
  • Indra’s Net: On Interconnectedness 
  • On Holons and Holarchy
  • Levels of Human Psychological Development in Integral Spiral Dynamics
  • The Great Chain of Being 
  • Cyber-Semiotics: Why Information is not enough
  • Integral Philosophy of the Rg Veda: Four Dimensional Man
  • Systems View of Life: A Synthesis by Fritjof Capra
  • Society as Communication: Social Systems Theory of Niklas Luhmann
  • Truth, Beauty, and Goodness: Integral Theory of Ken Wilber

Key Sources of Research

“Mind/Consciousness Dualism in Sā̇ṅkhya-Yoga Philosophy.” 

Schweizer, Paul.

Philosophy and Phenomenological Research 53, no. 4 (1993): 845–59. https://doi.org/10.2307/2108256.

https://www.academia.edu/29851642/Mind_Consciousness_Dualism_in_Sankhya_Yoga_Philosophy

Sāṃkhya-Yoga Philosophy and the Mind-Body Problem.

Schweizer, Paul (2019).

Prabuddha Bharata or Awakened India 124 (1):232-242.

https://philarchive.org/rec/SCHSPA-31

The hard problem of ‘pure’ consciousness: Sāṃkhya dualist ontology

Karen O’Brien-Kop
Department of Theology and Religious Studies,

King’s College London, London UK
Email: karen.obrien-kop@kcl.ac.uk

Religious Studies (2024), 60, S4–S20

doi:10.1017/S0034412523000410

Advaita and the philosophy of consciousness without an object

Paul Schweizer
Published 2020

https://www.academia.edu/81836880/Advaita_and_the_philosophy_of_consciousness_without_an_object

Absolute Space and the Structure of Consciousness in Advaita Vedānta Philosophy

Paul Schweizer
Published 2016

https://www.academia.edu/81836850/Absolute_Space_and_the_Structure_of_Consciousness_in_Advaita_Vedānta_Philosophy

“Contemporary Interpretations of Shankara’s Advaita and the Affirmation
of the World.”

Kaipayil, Joseph.

In Reason: Faithful and True (Essays in Honour of George Karuvelil), edited
by Thomas Karimundackal and Dolichan Kollareth, 293-302. Pune: Jnana-Deepa Vidyapeeth, 2020.

https://philarchive.org/archive/KAICIO

Consciousness in Quantum Physics and Meaning in the Advaita Philosophy of Adi Sankaracharya

Chitta Ranjan Sarker, Department of Diploma in Agriculture, Ramjankathi
Technical and Agriculture College, Jhalakathi, Bangladesh

https://utpjournals.press/doi/10.3138/uram.38.1-2.73

Neuroscience of the yogic theory of consciousness

Vaibhav Tripathi1,*,† and Pallavi Bharadwaj2

1Department of Psychological and Brain Sciences, Boston University, Boston, MA 02215, USA;

2Laboratory for Information Design and Systems, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
†Vaibhav Tripathi, http://orcid.org/0000-0001-7520-4188
*Correspondence address. Department of Psychological and Brain Sciences, 64, Cummington Mall, Rm 149, Boston University, Boston, MA 02215, USA.
Tel: +1 857-253-8491; E-mail: vaibhavt@bu.edu

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8675243

Advaita Vedanta

IEP

Shankara and Indian Philosophy

By Natalia Isayeva

Subjects: Asian Religion And Philosophy
Series: SUNY series in Religious Studies
Paperback : 9780791412824, 285 pages, December 1992
Hardcover : 9780791412817, 285 pages, January 1993

https://sunypress.edu/Books/S/Shankara-and-Indian-Philosophy2

Advaita Vedanta

Wikipedia

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

Paths to Transcendence: According to Shankara, Ibn Arabi, and Meister Eckhart


Author Reza Shah-Kazemi
Publisher World Wisdom, Inc, 2006

ISBN 0941532976, 9780941532976
Length 262 pages

Hermann Weyl and L.E.J. Brouwer: Intuitive Continuum and Choice Sequences

Hermann Weyl and L.E.J. Brouwer: Intuitive Continuum and Choice Sequences

Key Terms

  • Hermann Weyl
  • Intuitive Continuum
  • Mathematical Continuum
  • Phenomenology
  • Intuitionistic Logic
  • History of Mathematics
  • Philosophy Of Mathematics
  • Foundational Crisis in Mathematics
  • Kant’s notion of the Primacy of Intuition
  • Transcendental Idealism
  • History of Continuity and Infinitesimals
  • L. E. J. Brouwer
  • Brouwer’s Intuitionism
  • Infinitesimals
  • Brouwer’s Choice Sequence
  • Continuum
  • Continuity Principle
  • Atomistic Theory of Space and the Continuum
  • Ur intuition
  • Infinite Divisibility
  • Indivisibility
  • Principle of the Excluded Middle
  • Topos
  • Finite Logic and Infinite Logic
  • Transfinite Logic
  • Lawlike Sequence
  • Lawless Sequence
  • Free Choice Sequence
  • Intuitive Mathematics
  • Constructive Mathematics
  • Constructivism
  • Karl Menger – Menger Sponge (Assistant of L E J Brouwer)
  • Cauchy Sequence
  • Dedekind Cuts
  • Intuitionism
  • Logicism
  • Formalism
  • Non Cantorian Space
  • Continuum
  • Real Numbers
  • Lattice
  • Math and Music
  • Boot Strapped Creation
  • Awareness
  • Consciousness
  • Insight
  • Intuition
  • Imagination
  • Theory of Karma
  • Theory of Being

Key Scholars

  • John L. Bell ( University of Western Ontario, Canada)
  • Kati Kish Bar-On (MIT)
  • Dirk van Dalen
  • Solomon Feferman
  • Arend Heyting
  • Mark van Atten (SND, CNRS/Paris IV)
  • Andrej Bauer (University of Ljubljana)
  • Francesco Ciraulo (University of Padova)
  • Martín Escardó (University of Birmingham)
  • Michael Fourman (University of Edinburgh)
  • Ieke Moerdijk (Radboud University, Nijmegen)
  • Joan Rand Moschovakis (Occidental College, Los Angeles)
  • Thomas Streicher (Technical University of Darmstadt)
  • Göran Sundholm (University of Leiden)
  • Anne S. Troelstra (University of Amsterdam)
  • Wim Veldman (Radboud University)
  • Steve Vickers (University of Birmingham)

Source: The Three Crises in Mathematics: Logicism, Intuitionism and Formalism

Source: The Three Crises in Mathematics: Logicism, Intuitionism and Formalism

Source: The Three Crises in Mathematics: Logicism, Intuitionism and Formalism

Source: The Three Crises in Mathematics: Logicism, Intuitionism and Formalism

Source: The Three Crises in Mathematics: Logicism, Intuitionism and Formalism

Source: The Three Crises in Mathematics: Logicism, Intuitionism and Formalism

Source: The Three Crises in Mathematics: Logicism, Intuitionism and Formalism

Source: The Three Crises in Mathematics: Logicism, Intuitionism and Formalism

Source: The Three Crises in Mathematics: Logicism, Intuitionism and Formalism

Source: The Three Crises in Mathematics: Logicism, Intuitionism and Formalism

Source: Gnomes in the Fog: The Reception of Brouwer’s Intuitionism in the 1920s

Source: Gnomes in the Fog: The Reception of Brouwer’s Intuitionism in the 1920s

Source: Gnomes in the Fog: The Reception of Brouwer’s Intuitionism in the 1920s

Source: Gnomes in the Fog: The Reception of Brouwer’s Intuitionism in the 1920s

Source: Gnomes in the Fog: The Reception of Brouwer’s Intuitionism in the 1920s

Source: Gnomes in the Fog: The Reception of Brouwer’s Intuitionism in the 1920s

Source: Gnomes in the Fog: The Reception of Brouwer’s Intuitionism in the 1920s

Source: The Return of the Flowing Continuum

Source: The Return of the Flowing Continuum

Source: The Return of the Flowing Continuum

Source: Choice Sequences and Their Uses

Source: Choice Sequences and Their Uses

Source: Choice Sequences and Their Uses

Source: Choice Sequences and Their Uses

Source: Choice Sequences and Their Uses

Source: Choice Sequences and Their Uses

Source: Choice Sequences and Their Uses

Source: Choice Sequences and Their Uses

Source: Choice Sequences and Their Uses

Source: Choice Sequences and Their Uses

Source: Choice Sequences and Their Uses

Source: Choice Sequences and Their Uses

Source: HERMANN WEYL ON INTUITION AND THE CONTINUUM

Source: HERMANN WEYL ON INTUITION AND THE CONTINUUM

Source: HERMANN WEYL ON INTUITION AND THE CONTINUUM

Source: HERMANN WEYL ON INTUITION AND THE CONTINUUM

Source: HERMANN WEYL ON INTUITION AND THE CONTINUUM

Source: HERMANN WEYL ON INTUITION AND THE CONTINUUM

Source: HERMANN WEYL ON INTUITION AND THE CONTINUUM

Source: HERMANN WEYL ON INTUITION AND THE CONTINUUM

Source: HERMANN WEYL ON INTUITION AND THE CONTINUUM

Source: HERMANN WEYL ON INTUITION AND THE CONTINUUM

Source: HERMANN WEYL ON INTUITION AND THE CONTINUUM

Source: HERMANN WEYL ON INTUITION AND THE CONTINUUM

Source: HERMANN WEYL ON INTUITION AND THE CONTINUUM

My Related Posts

Charles Sanders Peirce’s Continuum

Indra’s Net: On Interconnectedness

On Synchronicity

Mind, Consciousness and Quantum Entanglement

Consciousness of Cosmos: A Fractal, Recursive, Holographic Universe

Geometry of Consciousness

Shape of the Universe

Key Sources of Research

The Continuum: A Critical Examination of the Foundation of Analysis

By Hermann Weyl

HERMANN WEYL ON INTUITION AND THE CONTINUUM*

John L. Bell

Divergent conceptions of the continuum in 19th and early 20th century mathematics and philosophy. 

Bell, J.L.

Axiomathes 15, 63–84 (2005).

https://doi.org/10.1007/s10516-004-7108-4

Towards a new philosophical perspective on Hermann Weyl’s turn to intuitionism

Kati Kish Bar-On
Cohn Institute for the History and Philosophy of Science and Ideas, Tel Aviv University
Email: katikish@gmail.com

Science in Context (2021), 34, 51–68

doi:10.1017/S0269889722000047

Click to access Latest_version_Weyl.pdf

Hermann Weyl and his Phenomenological Research within Infinitesimal Geometry

Flavio Baracco

28th March 2019

UNIMI

DIPARTIMENTO DI FILOSOFIA “PIERO MARTINETTI”

DOCTORAL SCHOOL IN PHILOSOPHY AND HUMAN SCIENCES



Hermann Weyl

SEP

https://plato.stanford.edu/Archives/win2021/entries/weyl/

Mathematical modernity, goal or problem? The opposing views of Felix Hausdorff and Hermann Weyl

Erhard Scholz∗

Hermann Weyl: From Trascendental Phenomenology to String Theory

Val Dusek

https://www.academia.edu/53213018/Hermann_Weyl_From_Trascendental_Phenomenology_to_String_Theory

UNITY & DIVERSITY IN TAO

Val Dusek

The significance of Hermann Weyl’s Das Kontinuum

Solomon Feferman

https://www.academia.edu/160344/The_significance_of_Hermann_Weyls_Das_Kontinuum

Weyl’s Conception of the Continuum in a Husserlian Transcendental Perspective

Stathis Livadas
2017, Studia Philosophica Estonica

https://doi.org/10.12697/spe.2017.10.1.07

https://www.academia.edu/38114437/Weyl_s_Conception_of_the_Continuum_in_a_Husserlian_Transcendental_Perspective

Intuitionism in the Philosophy of Mathematics: Introducing a Phenomenological Account

Philipp Berghofer

https://doi.org/10.1093/philmat/nkaa011

https://www.academia.edu/42756107/Intuitionism_in_the_Philosophy_of_Mathematics_Introducing_a_Phenomenological_Account

Weyl’s Phenomenological Constructivism

Flavio Baracco
2019, Meta: Research in Hermeneutics, Phenomenology, and Practical Philosophy

https://www.academia.edu/41544999/Weyls_Phenomenological_Constructivism

Brouwer and Weyl: The Phenomenology and Mathematics of the Intuitive Continuumt

Mark van Atten
2002, Philosophia Mathematica

https://www.academia.edu/64180519/Brouwer_and_Weyl_The_Phenomenology_and_Mathematics_of_the_Intuitive_Continuumt

Weyl and intuitionistic infinitesimals

Mark van Atten

https://www.academia.edu/36150214/Weyl_and_intuitionistic_infinitesimals

Introducing choice sequences into mathematical ontology

Josiano Nereu
Published 2011

https://www.academia.edu/70140230/Introducing_choice_sequences_into_mathematical_ontology

Notions of choice sequence

Michael Fourman
1982, Studies in Logic and the Foundations of Mathematics

https://www.academia.edu/68558265/Notions_of_choice_sequence

Weyl’s appropriation of Husserl’s and Poincaré’s thought

Richard Feist

https://www.academia.edu/67375668/Weyls_appropriation_of_Husserls_and_Poincarés_thought

‘Heidegger and Weyl on the Question of Continuity’

David Webb

https://www.academia.edu/1034062/Heidegger_and_Weyl_on_the_Question_of_Continuity

Conceptions of the Continuum.

Feferman Solomon.

In: Intellectica. Revue de l’Association pour la Recherche Cognitive, n°51, 2009/1. Le continu mathématique. Nouvelles conceptions, nouveaux enjeux. pp. 169-189;

doi : https://doi.org/10.3406/intel.2009.1737

https://www.persee.fr/doc/intel_0769-4113_2009_num_51_1_1737

Bernhard Riemann’s Conceptual Mathematics and the Idea of Space

Arkady Plotnitsky

Purdue University

From philosophical traditions to scientific developments: reconsidering the response to Brouwer’s intuitionism

Kati Kish Bar-On
Received: 2 February 2022 / Accepted: 24 September 2022

Synthese (2022) 200:521

https://doi.org/10.1007/s11229-022-03908-3

https://dspace.mit.edu/bitstream/handle/1721.1/146907/11229_2022_Article_3908.pdf?sequence=1

WEYL REEXAMINED: “DAS KONTINUUM” 100 YEARS LATER

ARNON AVRON*
SCHOOL OF COMPUTER SCIENCE

TEL AVIV UNIVERSITY, TEL AVIV 6997801, ISRAEL


Bulletin of Symbolic Logic , Volume 26 , Issue 1 , March 2020 , pp. 26 – 79
DOI: https://doi.org/10.1017/bsl.2020.23

https://www.cambridge.org/core/journals/bulletin-of-symbolic-logic/article/weyl-reexamined-das-kontinuum-100-years-later/30C8911060131D9AC0A3CA65A8D35266

Weyl vindicated: Das Kontinuum 70 years later

Feferman, S., 

Remi e Prospettive Della Logica e Della Scienza Contemporanee , vol. I (1988), pp. 59–93, 

Mathematical Intuitionism 

Posy, C. (2020). 

(Elements in the Philosophy of Mathematics). Cambridge: Cambridge University Press. doi:10.1017/9781108674485

Hermann Weyl’s Intuitionistic Mathematics. 

Van Dalen, D. (1995).

Bulletin of Symbolic Logic, 1(2), 145-169. doi:10.2307/421038

Labyrinth of Continua

Patrick Reeder,

Philosophia Mathematica, Volume 26, Issue 1, February 2018, Pages 1–39, https://doi.org/10.1093/philmat/nkx018

Herman Weyl on the Concept of Continuum.

Scholz, E. (2000).

In: Hendricks, V.F., Pedersen, S.A., Jørgensen, K.F. (eds) Proof Theory. Synthese Library, vol 292. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2796-9_9

https://link.springer.com/chapter/10.1007/978-94-017-2796-9_9

Intuitionism in the Philosophy of Mathematics

SEP

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

The Development of Intuitionistic Logic

SEP

https://plato.stanford.edu/entries/intuitionistic-logic-development/

Intuitionistic Logic

SEP

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

Connecting the revolutionary with the conventional: Rethinking the differences between the works of Brouwer, Heyting, and Weyl

Kati Kish Bar-On

Massachusetts Institute of Technology (Forthcoming in Philosophy of Science)

https://philarchive.org/archive/BARCTR-5

Computational Complexity and Brouwer’s Continuum

Robert L. Constable

Cornell University USA
February 26, 2020

Weyl and intuitionistic infinitesimals

Mark van Atten∗ July 2, 2018

dedicated to the memory of Richard Tieszen, 1951–2017

L. E. J. Brouwer

https://en.wikipedia.org/wiki/L._E._J._Brouwer

Luitzen Egbertus Jan Brouwer

SEP

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

Mystic, Geometer, and Intuitionist, 2 volumes

van Dalen, D., 1999/2005,

Oxford: Clarendon Press.
The standard biography of Brouwer. Volume 1, The Dawning Revolution, covers the years 1881–1928, volume 2, Hope and Disillusion, covers 1929–1966.

The Return of the Flowing Continuum

Dirk van Dalen

Intellectica, 2009/1, 51, pp.

From philosophical traditions to scientific developments: reconsidering the response to Brouwer’s intuitionism. 

Kish Bar-On, K.

Synthese 200, 521 (2022). https://doi.org/10.1007/s11229-022-03908-3

https://link.springer.com/article/10.1007/s11229-022-03908-3

The Mathematical Continuum: From Intuition to Logic

Giuseppe Longo

Peirce and Brouwer

Conor Mayo-Wilson

September 5, 2011

IDEAS AND EXPLORATIONS 

Brouwer’s Road to Intuitionism

Johannes John Carel Kuiper

PhD Thesis, 2004, Universiteit Utrecht

INTUITIONISTIC MATHEMATICS AND LOGIC

JOAN RAND MOSCHOVAKIS AND GARYFALLIA VAFEIADOU

Cornell Univ.

Click to access intuitionistic-math2.pdf

Choice Sequences and the Continuum

Casper Storm Hansen∗

Click to access choicesequences.pdf

Constructivity, Computability, and the Continuum

Michael Beeson

Click to access ccc.pdf

Intuitionism and Infinity

Sean Richardson

Philosophical Methods

December 2017

https://www.seanhrichardson.com/files/philosophy_intuitionism.pdf

Classical and intuitionistic mathematical languages shape our understanding of time in physics

Nicolas Gisin
Group of Applied Physics, University of Geneva, 1211 Geneva 4, Switzerland
May 3, 2022

https://www.arxiv-vanity.com/papers/2002.01653/

What is a Line?

D. F. M. Strauss

Axiomathes (2014) 24:181–205

DOI 10.1007/s10516-013-9224-5

Click to access What-is-a-Line-Axiomathes.pdf

MIND AND NATURE

Selected Writings on Philosophy, Mathematics, and Physics
HERMANN WEYL

Edited and with an introduction by Peter Pesic

PRINCETON UNIVERSITY PRESS

ISBN 978-0-691-13545-8, 2009

INTUITIONISTIC, FREE, AND MANY-VALUED LOGICS

Intuitionism

DIRK VAN DALEN AND MARK VAN ATTEN

Click to access 032.pdf



Weyl’s Phenomenological Constructivism

Flavio Baracco 

Université Paris 7

META: RESEARCH IN HERMENEUTICS, PHENOMENOLOGY, AND PRACTICAL PHILOSOPHY VOL. XI, NO. 2 / DECEMBER 2019: 589-617, ISSN 2067-3655, www.metajournal.org

Click to access 589-617-baracco-meta-2019-no2-rev.pdf

The Crisis in the Foundations of Mathematics

Jos ́e Ferreiro ́s

Phenomenology, Logic, and the Philosophy of Mathematics

By Richard L. Tieszen

The Continuum: A Constructive Approach to Basic Concepts of Real Analysis

By Rudolf Taschner

One Hundred Years of Intuitionism (1907-2007): The Cerisy Conference

edited by Mark van Atten, Pascal Boldini, Michel Bourdeau, Gerhard Heinzmann

From Foundations to Philosophy of Mathematics: An Historical Account of their development in XX Century and Beyond

By Joan Roselló

L.E.J. Brouwer – Topologist, Intuitionist, Philosopher

How Mathematics Is Rooted in Life

Dirk Dalen

2013

https://link.springer.com/book/10.1007/978-1-4471-4616-2

Mystic, Geometer, and Intuitionist : the Life of L.E.J. Brouwer

Dalen, D. van (Dirk). 

Oxford: Clarendon Press, 1999. Print.

Brouwer’s Intuitionism

Stigt, Walter P. van. 

Walter P. van Stigt. Amsterdam ;: North-Holland, 1990. Print.

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