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{ "item_title" : "David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1894-1917", "item_author" : [" William Ewald", "Michael Hallett", "Ulrich Majer "], "item_description" : "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).", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/3/54/020/605/3540206051_b.jpg", "price_data" : { "retail_price" : "99.00", "online_price" : "99.00", "our_price" : "99.00", "club_price" : "99.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1894-1917|William Ewald

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

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Overview

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).

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Details

  • ISBN-13: 9783540206057
  • ISBN-10: 3540206051
  • Publisher: Springer
  • Publish Date: June 2028
  • Page Count: 690

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