Giulini, Domenico (2022) Axiomatic Thinking in Physics -- Essence or Useless Ornament? Axiomatic Thinking, II. pp. 235-268.

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Abstract

I discuss epistemological perspectives on selected efforts to axiomatise physical theories. In the first half of this contribution I present some examples, most of them well known. In the second and more technical part, I focus on mathematical results, including more recent ones, that are relevant for axiomatic schemes of Special and General Relativity. This article is part of a book composed of elaborated lectures delivered in celebration of the 100th anniversary of David Hilbert’s 1917 Zurich lecture “Axiomatic Thinking".

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Item Type:	Published Article or Volume
Creators:	Creators Email ORCID Giulini, Domenico giulini@itp.uni-hannover.de 0000-0003-3123-7257
Additional Information:	Editors of the book: Fernando Ferreira, Reinhard Kahle, and Giovanni Sommaruga. Title of the book: Axiomatic Thinking, Vol. I and II. The contributions are based on talks at a joint meeting of the Swiss Mathematical Society and the Swiss Society for Logic and Philosophy of Science on Axiomatic Thinking, that took place on September 14.-15. 2017 to commemorate the centennial of Hilbert's famous address ``Axiomatisches Denken'', delivered on September 11. 1917 at the Swiss Mathematical Society in Zurich.
Keywords:	Axiomatisation, Physics, Hilbert, Space-Time-Theory
Subjects:	Specific Sciences > Mathematics > Applicability Specific Sciences > Mathematics > Epistemology General Issues > History of Philosophy of Science General Issues > Laws of Nature Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory General Issues > Structure of Theories
Depositing User:	Domenico Giulini
Date Deposited:	08 Apr 2025 21:30
Last Modified:	08 Apr 2025 21:30
Item ID:	25013
Journal or Publication Title:	Axiomatic Thinking
Publisher:	Springer Nature Switzerland AG
Official URL:	https://doi.org/10.1007/978-3-030-77799-9_10
DOI or Unique Handle:	10.1007/978-3-030-77799-9_10
Subjects:	Specific Sciences > Mathematics > Applicability Specific Sciences > Mathematics > Epistemology General Issues > History of Philosophy of Science General Issues > Laws of Nature Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory General Issues > Structure of Theories
Date:	18 September 2022
Page Range:	pp. 235-268
Volume:	II
URI:	https://philsci-archive.pitt.edu/id/eprint/25013

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