Truth, Proof and Infinity

Name: Truth, Proof and Infinity
Brand: Springer
SKU: 9780792352624
Price: 847.42 PLN
Availability: InStock

A Theory of Constructive Reasoning

Autor: P. Fletcher

Język:

Oprawa: Twarda

Wydawca: Springer

Dostępność: Dostępna u dostawcy w małych ilościach

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Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given,...

Informacje o książce

Autor

P. Fletcher

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

1998

strony

470

EAN

9780792352624

ISBN

0792352629

Enbook ID

05250582

Wydawca

Springer

Waga

1850

Wymiary

156 x 234 x 27

Pełny opis

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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Truth, Proof and Infinity

A Theory of Constructive Reasoning

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