Internal Logic: Foundations of Mathematics from Kronecker to Hilbert - Couverture rigide

Gauthier, Y.

 
9781402006890: Internal Logic: Foundations of Mathematics from Kronecker to Hilbert
Couverture rigide
ISBN 10 : 1402006896 ISBN 13 : 9781402006890
Editeur : Kluwer Academic Publishers, 2002

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.

Éditeur
Kluwer Academic Publishers
Date d'édition
2002
Langue
anglais
ISBN 10 
1402006896
ISBN 13 
9781402006890
Reliure
Relié
Nombre de pages
251
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9789048160525: Internal Logic: Foundations of Mathematics from Kronecker to Hilbert

Edition présentée

ISBN 10 :  9048160529 ISBN 13 :  9789048160525
Editeur : Springer, 2010
Couverture souple