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Internal Logic - Foundations of Mathematics from Kronecker to Hilbert (Hardcover, 2002 ed.) Loot Price: R3,024
Discovery Miles 30 240
Internal Logic - Foundations of Mathematics from Kronecker to Hilbert (Hardcover, 2002 ed.): Y. Gauthier

Internal Logic - Foundations of Mathematics from Kronecker to Hilbert (Hardcover, 2002 ed.)

Y. Gauthier

Series: Synthese Library, 310

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Loot Price R3,024 Discovery Miles 30 240 | Repayment Terms: R283 pm x 12*

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Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's infinite descent is put to use in an internal consistency proof. The view is developed in the context of a radical arithmetization of mathematics and logic and covers the many-faceted heritage of Kronecker's work, which includes not only Hilbert, but also Frege, Cantor, Dedekind, Husserl and Brouwer.

The book will be of primary interest to logicians, philosophers and mathematicians interested in the foundations of mathematics and the philosophical implications of constructivist mathematics. It may also be of interest to historians, since it covers a fifty-year period, from 1880 to 1930, which has been crucial in the foundational debates and their repercussions on the contemporary scene.

General

Imprint: Springer-Verlag New York
Country of origin: United States
Series: Synthese Library, 310
Release date: June 2002
First published: 2002
Authors: Y. Gauthier
Dimensions: 235 x 155 x 15mm (L x W x T)
Format: Hardcover
Pages: 251
Edition: 2002 ed.
ISBN-13: 978-1-4020-0689-0
Categories: Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic
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LSN: 1-4020-0689-6
Barcode: 9781402006890

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