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 | ||||||
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| 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 |
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| 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 |
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| Date: | 2022 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/21286 |
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