Axiomatic Thinking II

Ferreira, Fernando; Kahle, Reinhard; Sommaruga, Giovanni

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 Göttingen as his main collaborator in foundational studies in the years to come.

Details

Published by: Springer

Publication Date: 2022-09-18

Format: Hardcover

ISBN-13: 9783030777982

DOI: 10.1007/978-3-030-77799-9

Dimensions: 235cm x155cm

Pages: 287