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Truth, Proof and Infinity - A Theory of Constructive Reasoning (Paperback, Softcover reprint of hardcover 1st ed. 1998) Loot Price: R5,407
Discovery Miles 54 070
Truth, Proof and Infinity - A Theory of Constructive Reasoning (Paperback, Softcover reprint of hardcover 1st ed. 1998): P....

Truth, Proof and Infinity - A Theory of Constructive Reasoning (Paperback, Softcover reprint of hardcover 1st ed. 1998)

P. Fletcher

Series: Synthese Library, 276

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Loot Price R5,407 Discovery Miles 54 070 | Repayment Terms: R507 pm x 12*

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Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given, not by its truth-conditions, but in terms of what constructions count as a proof of it. However, the meaning of the terms `construction' and `proof' has never been adequately explained (although Kriesel, Goodman and Martin-Loef have attempted axiomatisations). This monograph develops precise (though not wholly formal) definitions of construction and proof, and describes the algorithmic substructure underlying intuitionistic logic. Interpretations of Heyting arithmetic and constructive analysis are given. The philosophical basis of constructivism is explored thoroughly in Part I. The author seeks to answer objections from platonists and to reconcile his position with the central insights of Hilbert's formalism and logic. Audience: Philosophers of mathematics and logicians, both academic and graduate students, particularly those interested in Brouwer and Hilbert; theoretical computer scientists interested in the foundations of functional programming languages and program correctness calculi.

General

Imprint: Springer
Country of origin: Netherlands
Series: Synthese Library, 276
Release date: December 2010
First published: 1998
Authors: P. Fletcher
Dimensions: 240 x 160 x 24mm (L x W x T)
Format: Paperback
Pages: 470
Edition: Softcover reprint of hardcover 1st ed. 1998
ISBN-13: 978-90-481-5105-9
Categories: Books > Science & Mathematics > Science: general issues > Philosophy of science
Books > Computing & IT > General theory of computing > General
Books > Computing & IT > Applications of computing > General
Books > Humanities > Philosophy > Topics in philosophy > Logic
Books > Science & Mathematics > Mathematics > Mathematical foundations > General
Books > Philosophy > Topics in philosophy > Logic
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LSN: 90-481-5105-8
Barcode: 9789048151059

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