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Axiomatic Thinking I.

Axiomatic Thinking I. 1st ed. 2022.

・ISBN 978-3-030-77659-6 paper EUR 89.99

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著者・編者Ferreira, Fernando / Kahle, Reinhard / Sommaruga, Giovanni (eds.),
出版社(Springer Nature Switzerland AG, SZ)
出版年月2023
ページ数205 pp.
言語ENG
ニュース番号<M25-9637>

解説

In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer science and elsewhere.

The title takes its name from David Hilbert's seminal talk Axiomatisches Denken, given at a meeting of the Swiss Mathematical Society in Zurich in 1917. This marked the beginning of Hilbert's return to his foundational studies, which ultimately resulted in the establishment of proof theory as a new branch in the emerging field of mathematical logic. Hilbert also used the opportunity to bring Paul Bernays back to Goettingen as his main collaborator in foundational studies in the years to come.

The contributions are addressed to mathematical and philosophical logicians, but also to philosophers of science as well as physicists and computer scientists with an interest in foundations.

Chapter 8 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.