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Truth, Proof and Infinity: A Theory of Constructive Reasoning
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Truth, Proof and Infinity: A Theory of Constructive Reasoning - nieuw boek

ISBN: 9789048151059

ID: 978904815105

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. Books > Religion and Spirituality List_Books

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Truth, Proof and Infinity: A Theory of Constructive Reasoning
(*)
Truth, Proof and Infinity: A Theory of Constructive Reasoning - nieuw boek

ISBN: 9789048151059

ID: 978904815105

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. Books List_Books

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Truth, Proof and Infinity A Theory of Constructive Reasoning - Fletcher, P.
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Fletcher, P.:
Truth, Proof and Infinity A Theory of Constructive Reasoning - pocketboek

2010, ISBN: 9048151058

gebonden uitgave, ID: A12090920

Softcover reprint of hardcover 1st ed. 1998 Kartoniert / Broschiert Mathematische Grundlagen, Wissenschaftsphilosophie und -theorie, Logik, Informatik, Theoretische Informatik, Arithmetic; algorithms; constructivism; logic; programming language; sequent calculus; set theory, mit Schutzumschlag neu, [PU:Springer Netherlands; Springer Netherland]

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Truth, Proof and Infinity - P. Fletcher
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P. Fletcher:
Truth, Proof and Infinity - nieuw boek

ISBN: 9789048151059

ID: 9789048151059

Philosophy; Logic; Mathematical Logic and Foundations; Theory of Computation; Philosophy of Science Arithmetic, algorithms, constructivism, logic, programming language, proof, sequent calculus, set theory Books, Springer Shop

 Springer.com
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Truth Proof and Infinity
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Truth Proof and Infinity - pocketboek

ISBN: 9048151058

gebonden uitgave, ID: 13446643

Truth Proof and Infinity ab 181.99 EURO A Theory of Constructive Reasoning Synthese Library. Softcover reprint of hardcover 1st ed. 1998 Medien > Bücher

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Bijzonderheden over het boek
Truth, Proof and Infinity: A Theory of Constructive Reasoning

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.

Gedetalleerde informatie over het boek. - Truth, Proof and Infinity: A Theory of Constructive Reasoning


EAN (ISBN-13): 9789048151059
ISBN (ISBN-10): 9048151058
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
480 Bladzijden
Gewicht: 0,719 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-01-15T22:33:59+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2019-09-18T16:59:47+02:00 (Amsterdam)
ISBN/EAN: 9789048151059

ISBN - alternatieve schrijfwijzen:
90-481-5105-8, 978-90-481-5105-9


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