Kish Bar-On, Kati (2021) Towards a new philosophical perspective on Hermann Weyl’s turn to intuitionism. [Preprint]

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Abstract

The paper explores Hermann Weyl’s turn to intuitionism through a philosophical prism of normative framework transitions. It focuses on three central themes that occupied Weyl’s thought: the notion of the continuum, logical existence, and the necessity of intuitionism, constructivism, and formalism to adequately address the foundational crisis of mathematics. The analysis of these themes reveals Weyl’s continuous endeavor to deal with such fundamental problems and suggests a view that provides a different perspective concerning Weyl’s wavering foundational positions. Building on a philosophical model of scientific framework transitions and the special role that normative indecision or ambivalence plays in the process, the paper examines Weyl’s motives for considering such a radical shift in the first place. It concludes by showing that Weyl’s shifting stances should be regarded as symptoms of a deep, convoluted intrapersonal process of self-deliberation induced by exposure to external criticism.

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Item Type:	Preprint
Creators:	Creators Email ORCID Kish Bar-On, Kati katikish@gmail.com 0000-0001-6867-3701
Additional Information:	Accepted for publication in: Science in Context
Keywords:	Hermann Weyl's intuitionism foundations of mathematics normative framework transitions ambivalence
Subjects:	Specific Sciences > Mathematics > Foundations Specific Sciences > Mathematics > History of Philosophy Specific Sciences > Mathematics > History Specific Sciences > Mathematics
Depositing User:	Dr. Kati Kish Bar-On
Date Deposited:	30 May 2021 16:31
Last Modified:	30 May 2021 16:31
Item ID:	19119
Subjects:	Specific Sciences > Mathematics > Foundations Specific Sciences > Mathematics > History of Philosophy Specific Sciences > Mathematics > History Specific Sciences > Mathematics
Date:	2021
URI:	https://philsci-archive.pitt.edu/id/eprint/19119

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• Towards a new philosophical perspective on Hermann Weyl’s turn to intuitionism. (deposited 30 May 2021 16:31) [Currently Displayed]
  • Towards a new philosophical perspective on Hermann Weyl’s turn to intuitionism. (deposited 08 Oct 2022 15:25)

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