David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1894-1917, Gebunden
David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1894-1917
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- Herausgeber:
- William Ewald, Michael Hallett, Ulrich Majer, Wilfried Sieg
- Verlag:
- Springer-Verlag GmbH, 11/2026
- Einband:
- Gebunden
- Sprache:
- Deutsch
- ISBN-13:
- 9783540206057
- Umfang:
- 700 Seiten
- Sonstiges:
- Etwa 690 S.
- Copyright-Jahr:
- 2016
- Erscheinungstermin:
- 14.11.2026
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Klappentext
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).