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Internal Logic: Foundations of Mathematics from Kronecker to Hilbert: 310 (Synthese Library, 310) - Hardcover
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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About the Author
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.
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Internal Logic : Foundations of Mathematics from Kronecker to Hilbert
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Internal Logic (Hardcover)
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Kluwer Academic Publishers, New York, NY, 2002
ISBN 10: 1402006896
ISBN 13: 9781402006890
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Hardcover. Condition: new. Hardcover. Internal logic is the logic of content. This text deals with arithmetic, with emphasis on the 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 covers a 50-year span, from 1880 to 1930, a period of importance for foundational debates on the subject and its subsequent development. Developed in the context of a radical arithmetization of mathematics and logic, this book covers the many-faceted heritage of Kronecker's work, which includes Hilbert and also Frege, Cantor, Husserl and Brouwer. It is useful for those interested in the foundations of mathematics and the philosophical implications of constructivist mathematics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 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 (Synthese Library, 310)
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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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Internal Logic
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Springer Netherlands Jun 2002, 2002
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Buch. Condition: 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. Seller Inventory # 9781402006890
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Internal Logic : Foundations of Mathematics from Kronecker to Hilbert
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Internal Logic
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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
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