Series: Synthese Library. Num Pages: 251 pages, biography. BIC Classification: HPL; PBC; PDA. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 14. Weight in Grams: 409. . 2010. Softcover reprint of hardcover 1st ed. 2002. paperback. . . . .

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Bibliographic Details

Title: Internal Logic: Foundations of Mathematics from Kronecker to Hilbert
Publisher: Springer
Publication Date: 2010
Language: English
ISBN 10: 9048160529
ISBN 13: 9789048160525
Binding: Soft cover
Condition: New

About this title

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.

About the Author

Yvon Gauthier was born in Drummondville, Qu�bec 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 Montr�al. Author of ten books, he has published numerous papers on foundations of mathematics and foundations of physics in specialized journals.

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