| ISBN13: | 9783540206057 |
| ISBN10: | 3540206051 |
| Binding: | Hardback |
| No. of pages: | 690 pages |
| Size: | 235x155 mm |
| Language: | German |
| Illustrations: | Etwa 690 S. |
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David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1894-1917
EUR 96.25
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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).
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).
