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Concepts of Proof in Mathematics, Philosophy, and Computer Science: 6 (Ontos Mathematical Logic, 6) - Tapa dura
Sinopsis
A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning from axioms which are considered evident for the given context and agreed upon by the community. It is this concept that sets mathematics apart from other disciplines and distinguishes it as the prototype of a deductive science. Proofs thus are utterly relevant for research, teaching and communication in mathematics and of particular interest for the philosophy of mathematics. In computer science, moreover, proofs have proved to be a rich source for already certified algorithms. This book provides the reader with a collection of articles covering relevant current research topics circled around the concept 'proof'. It tries to give due consideration to the depth and breadth of the subject by discussing its philosophical and methodological aspects, addressing foundational issues induced by Hilbert's Programme and the benefits of the arising formal notions of proof, without neglecting reasoning in natural language proofs and applications in computer science such as program extraction.
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Dieter Probst, Inst. of Computer Science, U. Bern, Switzerland.Peter Schuster, Dept. of Computer Science, U. Verona, Italy.
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Concepts of Proof in Mathematics, Philosophy, and Computer Science
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Concepts of Proof in Mathematics, Philosophy, and Computer Science (Ontos Mathematical Logic, 6)
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Concepts of Proof in Mathematics, Philosophy, and Computer Science
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Concepts of Proof in Mathematics, Philosophy, and Computer Science. Ontos Mathematical Logic; 6.
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ISBN 10: 1501510800
ISBN 13: 9781501510809
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Concepts of Proof in Mathematics, Philosophy, and Computer Science
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Concepts of Proof in Mathematics, Philosophy, and Computer Science
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De Gruyter, De Gruyter Jul 2016, 2016
ISBN 10: 1501510800
ISBN 13: 9781501510809
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning from axioms which are considered evident for the given context and agreed upon by the community. It is this concept that sets mathematics apart from other disciplines and distinguishes it as the prototype of a deductive science. Proofs thus are utterly relevant for research, teaching and communication in mathematics and of particular interest for the philosophy of mathematics. In computer science, moreover, proofs have proved to be a rich source for already certified algorithms. This book provides the reader with a collection of articles covering relevant current research topics circled around the concept 'proof'. It tries to give due consideration to the depth and breadth of the subject by discussing its philosophical and methodological aspects, addressing foundational issues induced by Hilbert's Programme and the benefits of the arising formal notions of proof, without neglecting reasoning in natural language proofs and applications in computer science such as program extraction. 384 pp. Englisch. Nº de ref. del artículo: 9781501510809
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Concepts of Proof in Mathematics, Philosophy, and Computer Science
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning from axioms which are considered evident for the given context and agreed upon by the community. It is this concept that sets mathematics apart from other disciplines and distinguishes it as the prototype of a deductive science. Proofs thus are utterly relevant for research, teaching and communication in mathematics and of particular interest for the philosophy of mathematics. In computer science, moreover, proofs have proved to be a rich source for already certified algorithms. This book provides the reader with a collection of articles covering relevant current research topics circled around the concept 'proof'. It tries to give due consideration to the depth and breadth of the subject by discussing its philosophical and methodological aspects, addressing foundational issues induced by Hilbert's Programme and the benefits of the arising formal notions of proof, without neglecting reasoning in natural language proofs and applications in computer science such as program extraction. Nº de ref. del artículo: 9781501510809
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Concepts of Proof in Mathematics, Philosophy, and Computer Science
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Dieter Probst, Inst. of Computer Science, U. Bern, Switzerland.Peter Schuster, Dept. of Computer Science, U. Verona, Italy. Nº de ref. del artículo: 80940827
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