Kniha Truth, Proof and Infinity P. Fletcher

Truth, Proof and Infinity

A Theory of Constructive Reasoning

Autor: P. Fletcher
Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Springer
Dostupnost: Skladem u dodavatele v malém množství
Odesíláme za 13-18 dnů
4 623
Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given,...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
1998
Stránek
470
EAN
9780792352624
ISBN
0792352629
Enbook ID
05250582
Vydavatel
Hmotnost
1850
Rozměry
156 x 234 x 27

Kompletní popis

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.

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