Articles liés à Internal Logic: Foundations of Mathematics from Kronecker...
Synopsis
Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's infinite descent is put to use in an internal consistency proof. The view is developed in the context of a radical arithmetization of mathematics and logic and covers the many-faceted heritage of Kronecker's work, which includes not only Hilbert, but also Frege, Cantor, Dedekind, Husserl and Brouwer.
The book will be of primary interest to logicians, philosophers and mathematicians interested in the foundations of mathematics and the philosophical implications of constructivist mathematics. It may also be of interest to historians, since it covers a fifty-year period, from 1880 to 1930, which has been crucial in the foundational debates and their repercussions on the contemporary scene.
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À propos de l?auteur
Yvon Gauthier was born in Drummondville, Québec in 1941. He has studied in Heidelberg and has been Research Fellow in Berkeley and Leningrad (St-Petersburg). He has taught at the University of Sudbury (Ontario) and at the University of Toronto. Since 1973, he is Professor of Logic and Foundations of Mathematics at the University of Montréal. Author of ten books, he has published numerous papers on foundations of mathematics and foundations of physics in specialized journals.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Internal Logic
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Springer Netherlands, 2002
ISBN 10 : 1402006896
ISBN 13 : 9781402006890
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Internal Logic: Foundations of Mathematics from Kronecker to Hilbert (Synthese Library, 310)
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Internal Logic : Foundations of Mathematics from Kronecker to Hilbert
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Internal Logic
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Springer Netherlands Jun 2002, 2002
ISBN 10 : 1402006896
ISBN 13 : 9781402006890
Neuf
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's infinite descent is put to use in an internal consistency proof. The view is developed in the context of a radical arithmetization of mathematics and logic and covers the many-faceted heritage of Kronecker's work, which includes not only Hilbert, but also Frege, Cantor, Dedekind, Husserl and Brouwer.The book will be of primary interest to logicians, philosophers and mathematicians interested in the foundations of mathematics and the philosophical implications of constructivist mathematics. It may also be of interest to historians, since it covers a fifty-year period, from 1880 to 1930, which has been crucial in the foundational debates and their repercussions on the contemporary scene. 268 pp. Englisch. N° de réf. du vendeur 9781402006890
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Internal Logic: Foundations of Mathematics from Kronecker to Hilbert (Synthese Library, 310)
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Internal Logic
Edité par
Springer Netherlands, Springer Netherlands Jun 2002, 2002
ISBN 10 : 1402006896
ISBN 13 : 9781402006890
Neuf
Buch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. Neuware -Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's infinite descent is put to use in an internal consistency proof. The view is developed in the context of a radical arithmetization of mathematics and logic and covers the many-faceted heritage of Kronecker's work, which includes not only Hilbert, but also Frege, Cantor, Dedekind, Husserl and Brouwer.The book will be of primary interest to logicians, philosophers and mathematicians interested in the foundations of mathematics and the philosophical implications of constructivist mathematics. It may also be of interest to historians, since it covers a fifty-year period, from 1880 to 1930, which has been crucial in the foundational debates and their repercussions on the contemporary scene.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 268 pp. Englisch. N° de réf. du vendeur 9781402006890
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Internal Logic : Foundations of Mathematics from Kronecker to Hilbert
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Springer Netherlands, Springer Netherlands, 2002
ISBN 10 : 1402006896
ISBN 13 : 9781402006890
Neuf
Couverture rigide
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's infinite descent is put to use in an internal consistency proof. The view is developed in the context of a radical arithmetization of mathematics and logic and covers the many-faceted heritage of Kronecker's work, which includes not only Hilbert, but also Frege, Cantor, Dedekind, Husserl and Brouwer.The book will be of primary interest to logicians, philosophers and mathematicians interested in the foundations of mathematics and the philosophical implications of constructivist mathematics. It may also be of interest to historians, since it covers a fifty-year period, from 1880 to 1930, which has been crucial in the foundational debates and their repercussions on the contemporary scene. N° de réf. du vendeur 9781402006890
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Internal Logic : Foundations of Mathematics from Kronecker to Hilbert
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Internal Logic : Foundations of Mathematics from Kronecker to Hilbert
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Springer, 2002
ISBN 10 : 1402006896
ISBN 13 : 9781402006890
Ancien ou d'occasion
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Internal Logic: Foundations of Mathematics from Kronecker to Hilbert
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Springer-Verlag New York Inc., 2002
ISBN 10 : 1402006896
ISBN 13 : 9781402006890
Neuf
Couverture rigide
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Hardback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 583. N° de réf. du vendeur C9781402006890
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