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Truth, Proof and Infinity: A Theory of Constructive Reasoning: 276 (Synthese Library, 276) - Tapa dura

Libro 184 de 304: Synthese Library

Fletcher, P.

 
9780792352624: Truth, Proof and Infinity: A Theory of Constructive Reasoning: 276 (Synthese Library, 276)
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ISBN 10: 0792352629 ISBN 13: 9780792352624
Editorial: Springer, 1998

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
1998
Idioma
Inglés
ISBN 10 
0792352629
ISBN 13 
9780792352624
Encuadernación
Tapa dura
Número de páginas
484
Contacto del fabricante
no disponible
Persona responsable
gpsr@libri.de
gpsr@libri.de

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