2010, ISBN: 9048151058

[EAN: 9789048151059], Neubuch, [SC: 0.0], [PU: Springer Netherlands], ARITHMETIC; ALGORITHMS; CONSTRUCTIVISM; LOGIC; PROGRAMMINGLANGUAGE; SEQUENTCALCULUS; SETTHEORY, Druck auf Anfrage Neu… Meer...

[EAN: 9789048151059], Neubuch, [SC: 0.0], [PU: Springer Netherlands], ARITHMETIC; ALGORITHMS; CONSTRUCTIVISM; LOGIC; PROGRAMMINGLANGUAGE; SEQUENTCALCULUS; SETTHEORY, Druck auf Anfrage Neuware - Printed after ordering - 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<

2010, ISBN: 9789048151059

gebonden uitgave

[ED: Softcover], [PU: Springer / Springer Netherlands], Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given, not by its truth-conditions, b… Meer...

[ED: Softcover], [PU: Springer / Springer Netherlands], 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. Softcover reprint of hardcover 1st ed. 1998. 2010. x, 470 S. X, 470 p. 240 mm Versandfertig in 6-10 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)<

2010, ISBN: 9789048151059

gebonden uitgave

[ED: Taschenbuch], [PU: Springer Netherland], Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given, not by its truth-conditions, but in term… Meer...

[ED: Taschenbuch], [PU: Springer Netherland], 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..., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 480, [GW: 721g], Softcover reprint of hardcover 1st ed. 1998, Banküberweisung, PayPal, [CT: Sonstiges / Sonstiges]<

ISBN: 9789048151059

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… Meer...

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. New Textbooks>Trade Paperback>Philosophy>Philosophy>Philosophy, Springer Netherlands Core >1 >T<

2010, ISBN: 9048151058

[EAN: 9789048151059], Neubuch, [PU: Springer Netherlands], ARITHMETIC ALGORITHMS CONSTRUCTIVISM LOGIC PROGRAMMINGLANGUAGE SEQUENTCALCULUS SETTHEORY PHILOSOPHIE ALLGEMEINES LEXIKA PROGRAMM… Meer...

[EAN: 9789048151059], Neubuch, [PU: Springer Netherlands], ARITHMETIC ALGORITHMS CONSTRUCTIVISM LOGIC PROGRAMMINGLANGUAGE SEQUENTCALCULUS SETTHEORY PHILOSOPHIE ALLGEMEINES LEXIKA PROGRAMMING LANGUAGE PROOF SEQUENT CALCULUS SET THEORY LOGIK MATHEMATICAL AND FOUNDATIONS, Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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., Books<