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9783540206057

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

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  • ISBN13:

    9783540206057

  • ISBN10:

    3540206051

  • Format: Hardcover
  • Copyright: 2020-08-03
  • Publisher: Springer Nature
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Summary

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).

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