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

David Hilbert's Lectures on the Foundations of Arithmetic and Logic, 1894-1917 pdf epub mobi txt 电子书 下载 2025

出版者:Springer
作者:Not Available (NA)
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页数:690
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出版时间:2007-05
价格:USD 99.00
装帧:Hardcover
isbn号码:9783540206057
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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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