| David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1894-1917 1. Aufl. 2022 Edition Contributor(s): Ewald, William (Editor), Hallett, Michael (Editor), Majer, Ulrich (Editor) |
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ISBN: 3540206051 ISBN-13: 9783540206057 Publisher: Springer OUR PRICE: $94.05 Product Type: Hardcover - Other Formats Language: German Published: October 2024 This item may be ordered no more than 25 days prior to its publication date of October 22, 2024 |
| Additional Information |
| BISAC Categories: - Mathematics | History & Philosophy - Mathematics | Logic |
| Dewey: 513.01 |
| Physical Information: 690 pages |
| Themes: - Chronological Period - 1851-1899 - Chronological Period - 1900-1919 - Chronological Period - 1920's - Chronological Period - 1930's |
| Descriptions, Reviews, Etc. |
| Publisher Description: Volume 2 focuses on notes for lectures on the foundations of the mathematical sciences held by Hilbert in the period 1894-1917. They document Hilbert's first engagement with 'impossibility' proofs; his early attempts to formulate and address the problem of consistency, first dealt with in his work on geometry in the 1890s; his engagement with foundational problems raised by the work of Cantor and Dedekind; his early investigations into the relationship between arithmetic, set theory, and logic; his advocation of the use of the axiomatic method generally; his first engagement with the logical and semantical paradoxes; and the first formal attempts to develop a logical calculus. The Volume also contains Hilbert's address from 1895 which formed the preliminary version of his famous Zahlbericht (1897). |