Axiomatic thinking
Author(s)
Bibliographic Information
Axiomatic thinking
Springer, c2022
- vol.1
Available at 2 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
Volume 1: History and Philosophy.- Axiomatisches Denken.- Part I: History and Philosophy.- Hilbert's Axiomatisches Denken.- Scope and Limits of Axiomatics.- The Semantic Function of the Axiomatic Method.- Aristotle's Relations: An Interpretation in Combinatory Logic.- The Two Sides of Modern Axiomatics: Dedekind and Peano, Hilbert and Bourbaki.- Notes for a Seminar in Axiomatic Reasoning.- Axiomatic Thinking, Identity of Proofs and the Quest for an Intensional Proof-Theoretic Semantics.- Proofs as Objects.- Where Do Axioms Come From?.- Panel Discussion on the Foundations of Mathematics.
by "Nielsen BookData"