David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1894-1917

Etwa 690 S.

gebunden , 700 Seiten

ISBN 3540206051

EAN 9783540206057

Veröffentlicht 14. November 2026

Verlag/Hersteller Springer-Verlag GmbH

€ 96,25 inkl. MwSt.

Auf die Wunschliste

Weitere interessante Themen

Beschreibung

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).