David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1894-1917
- Editore:
Springer-Verlag GmbH
- EAN:
9783540206057
- ISBN:
3540206051
- Pagine:
- 700
- Formato:
- Hardback
- Lingua:
- Tedesco
Descrizione 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).