| ISBN13: | 9783540206057 |
| ISBN10: | 3540206051 |
| Binding: | Hardback |
| No. of pages: | 690 pages |
| Size: | 235x155 mm |
| Language: | German |
| Illustrations: | Etwa 690 S. |
| 697 |
Mathematics in general
The basics of mathematics and mathematical logic
Number theory
Algebra
Geometry and topology
Mathematics in engineering and natural sciences
Further readings in physics
Mathematics in general (charity campaign)
The basics of mathematics and mathematical logic (charity campaign)
Number theory (charity campaign)
Algebra (charity campaign)
Geometry and topology (charity campaign)
Mathematics in engineering and natural sciences (charity campaign)
Further readings in physics (charity campaign)
David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1894-1917
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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).
