David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1894-1917
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).
ISBN: | 9783540206057 |
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Sprache: | Deutsch |
Produktart: | Gebunden |
Herausgeber: | Ewald, William Hallett, Michael Majer, Ulrich Sieg, Wilfried |
Verlag: | Springer Berlin |
Veröffentlicht: | 14.11.2026 |
Schlagworte: | Arithmetic Foundation Geometry Hilbert Logic MSC (2000): 01A55, 01A60, 01A75, 03-03, 51-03, 70-03, 70A05, Physics |
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