PhilSci Archive

Towards a new philosophical perspective on Hermann Weyl’s turn to intuitionism

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

[img]
Preview
Text
Weyl - preprint.pdf

Download (583kB) | Preview

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.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Creators:
CreatorsEmailORCID
Kish Bar-On, Katikatikish@gmail.com0000-0001-6867-3701
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: Ms. 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: http://philsci-archive.pitt.edu/id/eprint/19119

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item