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

Synthese 200 (6):1–25 (2022)
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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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Kati Kish Bar-On
Massachusetts Institute of Technology

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References found in this work

Dynamics of Reason.Michael Friedman - 2001 - Philosophy and Phenomenological Research 68 (3):702-712.
Elements of Intuitionism.Michael Dummett - 1980 - British Journal for the Philosophy of Science 31 (3):299-301.
The Logical Syntax of Language.Rudolf Carnap & Amethe Smeaton - 1938 - Philosophy 13 (52):485-486.
La Science et l'Hypothèse.Henri Poincaré - 1902 - Revue de Métaphysique et de Morale 11 (1):1-1.

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