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bokomslag David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1894-1917
Vetenskap & teknik

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

William Ewald Michael Hallett Ulrich Majer Wilfried Sieg

Inbunden

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  • 710 sidor
  • 2024
Volume 2 focuses on notes for lectures on the foundations of the mathematical sciences held by Hilbert in the period 1894-1917. They document Hilberts 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 Hilberts address from 1895 which formed the preliminary version of his famous Zahlbericht (1897).
  • Författare: William Ewald, Michael Hallett, Ulrich Majer, Wilfried Sieg
  • Illustratör: Etwa 690 S
  • Format: Inbunden
  • ISBN: 9783540206057
  • Språk: Engelska
  • Antal sidor: 710
  • Utgivningsdatum: 2024-10-22
  • Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K