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

Kish Bar-On, Kati (2022) Connecting the revolutionary with the conventional: Rethinking the differences between the works of Brouwer, Heyting, and Weyl. [Preprint]

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Abstract

Brouwer’s intuitionism was a far-reaching attempt to reform the foundations of mathematics. While the mathematical community was reluctant to accept Brouwer’s work, its response to later-developed brands of intuitionism, such as those presented by Hermann Weyl and Arend Heyting, was different. The paper accounts for this difference by analyzing the intuitionistic versions of Brouwer, Weyl, and Heyting in light of a two-tiered model of the body and image of mathematical knowledge. Such a perspective provides a richer account of each story and points to a possible connection between the community’s reaction and the changes each mathematician had proposed.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Kish Bar-On, Katikatikish@gmail.com0000-0001-6867-3701
Additional Information: Forthcoming in Philosophy of Science
Keywords: Foundations of mathematics L.E.J Brouwer Arend Heyting Hermann Weyl Formalization of Intuitionism Images and body of knowledge
Subjects: Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > History of Philosophy
Specific Sciences > Mathematics > History
Specific Sciences > Mathematics > Logic
Depositing User: Dr. Kati Kish Bar-On
Date Deposited: 19 Oct 2022 17:13
Last Modified: 19 Oct 2022 17:13
Item ID: 21286
Subjects: Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > History of Philosophy
Specific Sciences > Mathematics > History
Specific Sciences > Mathematics > Logic
Date: 2022
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/21286

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