Kish Bar-On, Kati (2024) Mathematics and Society Reunited: The Social Aspects of Brouwer’s Intuitionism. [Preprint]

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Abstract

Brouwer’s philosophy of mathematics is usually regarded as an intra-subjective, even solipsistic approach, an approach that also underlies his mathematical intuitionism, as he strived to create a mathematics that develops out of something inner and a‑linguistic. Thus, points of connection between Brouwer’s mathematical views and his views about and the social world seem improbable and are rarely mentioned in the literature. The current paper aims to challenge and change that. The paper employs a socially oriented prism to examine Brouwer’s views on the construction, use, and practice of mathematics. It focuses on Brouwer’s views on language, his social interactions, and the importance of group context as they appear in the significs dialogues. It does so by exploring the establishment and dissolution of the significs movement, focusing on Gerrit Mannoury’s influence and relationship with Brouwer and analyzing several fragments from the significs dialogues while emphasizing the role Brouwer ascribed to groups in forming and sharing new ideas. The paper concludes by raising two questions that challenge common historical and philosophical readings of intuitionism.

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Item Type:	Preprint
Creators:	Creators Email ORCID Kish Bar-On, Kati katikish@gmail.com 0000-0001-6867-3701
Keywords:	Social History of Mathematics Foundations of mathematics Gerrit Mannoury Intuitionism Significs Brouwer
Subjects:	Specific Sciences > Mathematics > Foundations Specific Sciences > Mathematics > History of Philosophy Specific Sciences > Mathematics > History General Issues > Science and Society
Depositing User:	Dr. Kati Kish Bar-On
Date Deposited:	30 Sep 2024 21:08
Last Modified:	30 Sep 2024 21:08
Item ID:	23955
Subjects:	Specific Sciences > Mathematics > Foundations Specific Sciences > Mathematics > History of Philosophy Specific Sciences > Mathematics > History General Issues > Science and Society
Date:	2024
URI:	https://philsci-archive.pitt.edu/id/eprint/23955

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