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  1. Psychology in the foundations of logic and mathematics: the cases of boole, cantor and brouwer.I. Grattan-Guinness - 1982 - History and Philosophy of Logic 3 (1):33-53.
    In this paper I consider three mathematicians who allowed some role for menial processes in the foundations of their logical or mathematical theories. Boole regarded his Boolean algebra as a theory of mental acts; Cantor permitted processes of abstraction to play a role in his set theory; Brouwer took perception in time as a cornerstone of his intuitionist mathematics. Three appendices consider related topics.
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  • From Philosophical Traditions to Scientific Developments: Reconsidering the Response to Brouwer’s Intuitionism.Kati Kish Bar-On - 2022 - Synthese 200 (6):1–25.
    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 (...)
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  • On the failure of mathematics' philosophy: Review of P. Maddy, Realism in Mathematics; and C. Chihara, Constructibility and Mathematical Existence.David Charles McCarty - 1993 - Synthese 96 (2):255-291.
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  • A pragmatic analysis of mathematical realism and intuitionism.Michel J. Blais - 1989 - Philosophia Mathematica (1):61-85.
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