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From Philosophical Traditions to Scientific Developments: Reconsidering the Response to Brouwer’s Intuitionism

Kish Bar-On, Kati (2022) From Philosophical Traditions to Scientific Developments: Reconsidering the Response to Brouwer’s Intuitionism. [Preprint]

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Abstract

Brouwer’s intuitionistic program was an intriguing attempt to reform the foundations of mathematics that eventually did not prevail. The current paper offers a new perspective on the scientific community’s lack of reception to Brouwer’s intuitionism by considering it in light of Michael Friedman’s model of parallel transitions in philosophy and science, specifically focusing on Friedman’s story of Einstein’s theory of relativity. Such a juxtaposition raises onto the surface the differences between Brouwer’s and Einstein’s stories and suggests that contrary to Einstein’s story, the philosophical roots of Brouwer’s intuitionism cannot be traced to any previously established philosophical traditions. The paper concludes by showing how the intuitionistic inclinations of Hermann Weyl and Abraham Fraenkel serve as telling cases of how individuals are involved in setting in motion, adopting, and resisting framework transitions during periods of disagreement within a discipline.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Kish Bar-On, Katikatikish@gmail.com0000-0001-6867-3701
Additional Information: Accepted for publication in Synthese (September 2022)
Keywords: Intuitionism Brouwer’s philosophy of mathematics Framework transitions The foundations of mathematics
Subjects: Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > History of Philosophy
Specific Sciences > Mathematics > History
Specific Sciences > Mathematics > Logic
General Issues > Philosophers of Science
Depositing User: Dr. Kati Kish Bar-On
Date Deposited: 25 Sep 2022 13:04
Last Modified: 25 Sep 2022 13:04
Item ID: 21200
Subjects: Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > History of Philosophy
Specific Sciences > Mathematics > History
Specific Sciences > Mathematics > Logic
General Issues > Philosophers of Science
Date: 20 September 2022
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/21200

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