David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1894-1917 - Ewald, William; Hallett, Michael; Majer, Ulrich;(szerk.) - Prospero Internetes Könyváruház

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

1891 to 1933
 
Kiadás sorszáma és címe: 2
Kiadás sorszáma: 1. Aufl. 2025
Kiadó: Springer
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Rövid leírás:

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).

Hosszú leírás:

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).