Truth, Proof and Infinity : A Theory of Constructive Reasoning

Language: English

Published by Springer Okt 1998, 1998

0792352629 / 9780792352624

Series: Book 184 of 304 - Synthese Library

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Neuware - 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-Löf 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.

Seller Inventory # 9780792352624

Title
Truth, Proof and Infinity : A Theory of Constructive Reasoning
Author
P. Fletcher
Publisher
Springer Okt 1998
Publication year
1998
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0792352629
ISBN 13
9780792352624
Item weight
835 grams
Dimensions
234x156x27 mm
Series
Book 184 of 304: Synthese Library

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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