Kish Bar-On, Kati (2021) Towards a new philosophical perspective on Hermann Weyl’s turn to intuitionism. Science in Context, 34 (1). pp. 51-68. ISSN 1474-0664

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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:	Published Article or Volume
Creators:	Creators Email ORCID Kish Bar-On, Kati katikish@gmail.com 0000-0001-6867-3701
Keywords:	Hermann Weyl's intuitionism foundations of mathematics normative framework transitions ambivalence
Subjects:	Specific Sciences > Mathematics > Epistemology Specific Sciences > Mathematics > Foundations Specific Sciences > Mathematics > History General Issues > History of Philosophy of Science General Issues > Philosophers of Science
Depositing User:	Dr. Kati Kish Bar-On
Date Deposited:	08 Oct 2022 15:25
Last Modified:	08 Oct 2022 15:25
Item ID:	21247
Journal or Publication Title:	Science in Context
Publisher:	Cambridge University Press
DOI or Unique Handle:	https://doi.org/10.1017/S0269889722000047
Subjects:	Specific Sciences > Mathematics > Epistemology Specific Sciences > Mathematics > Foundations Specific Sciences > Mathematics > History General Issues > History of Philosophy of Science General Issues > Philosophers of Science
Date:	March 2021
Page Range:	pp. 51-68
Volume:	34
Number:	1
ISSN:	1474-0664
URI:	https://philsci-archive.pitt.edu/id/eprint/21247

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

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