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David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933 (German, English, Hardcover) Loot Price: R6,536
Discovery Miles 65 360
David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933 (German, English, Hardcover): William Ewald,...

David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933 (German, English, Hardcover)

William Ewald, Wilfried Sieg; Adapted by Michael Hallett; Contributions by Ulrich Majer, Dirk Schlimm

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Loot Price R6,536 Discovery Miles 65 360 | Repayment Terms: R613 pm x 12*

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The core of Volume3 consists of lecture notes for seven sets of lectures Hilbert gave (often in collaboration with Bernays) on the foundations of mathematics between 1917 and 1926. These texts make possible for the first time a detailed reconstruction of the rapid development of Hilbert's foundational thought during this period, and show the increasing dominance of the metamathematical perspective in his logical work: the emergence of modern mathematical logic; the explicit raising of questions of completeness, consistency and decidability for logical systems; the investigation of the relative strengths of various logical calculi; the birth and evolution of proof theory, and the parallel emergence of Hilbert's finitist standpoint. The lecture notes are accompanied by numerous supplementary documents, both published and unpublished, including a complete version of Bernays's "Habilitationschrift" of 1918, the text of the first edition of Hilbert and Ackermann's "Grundzuge der theoretischen Logik" (1928), and several shorter lectures by Hilbert from the later 1920s. These documents, which provide the background to Hilbert and Bernays's monumental "Grundlagen der Mathematik" (1934, 1938), are essential for understanding the development of modern mathematical logic, and for reconstructing the interactions between Hilbert, Bernays, Brouwer, and Weyl in the philosophy of mathematics. "

General

Imprint: Springer-Verlag
Country of origin: Germany
Release date: June 2013
First published: June 2013
Editors: William Ewald • Wilfried Sieg
Adapted by: Michael Hallett
Contributors: Ulrich Majer • Dirk Schlimm
Dimensions: 235 x 155 x 63mm (L x W x T)
Format: Hardcover
Pages: 1062
ISBN-13: 978-3-540-20578-4
Languages: German • English
Categories: Books > Science & Mathematics > Mathematics > Mathematical foundations > General
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LSN: 3-540-20578-0
Barcode: 9783540205784

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