David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1894-1917
1891 to 1933
Series: David Hilbert's Lectures on the Foundations of Mathematics and Physics; 2;
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Product details:
- Edition number and title 2
- Edition number 1. Aufl. 2025
- Publisher Springer
- Date of Publication 14 November 2026
- Number of Volumes 1 pieces, Book
- ISBN 9783540206057
- Binding Hardback
- No. of pages690 pages
- Size 235x155 mm
- Language German
- Illustrations Etwa 690 S. 0
Categories
Short 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).
MoreLong 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).
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