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Więcej informacji o David Hilbert's Lectures on the Foundations of Arithmetic and Logic, 1894-1917

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Opis

This volume 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). This volume 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).

Szczegóły książki

Kategoria Książki po niemiecku Naturwissenschaften, Medizin, Informatik, Technik Mathematik Grundlagen

• Pełny tytuł: David Hilbert's Lectures on the Foundations of Arithmetic and Logic, 1894-1917
• Autor: David Hilbert
• Język: Niemiecki
• Oprawa: Twarda
• Liczba stron: 690
• EAN: 9783540206057
• ISBN: 3540206051
• ID: 05273698
• Wydawca: Springer, Berlin
• Wymiary: 235 × 155 mm
• Data wydania: 25. June 2023

Ulubione w innej kategorii

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