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Foundational Theories of Classical and Constructive Mathematics - Couverture souple

Livre 7 sur 37: The Western Ontario Series in Philosophy of Science
 
9789400735613: Foundational Theories of Classical and Constructive Mathematics

Synopsis

The book "Foundational Theories of Classical and Constructive Mathematics" is a book on the classical topic of foundations of mathematics. Its originality resides mainly in its treating at the same time foundations of classical and foundations of constructive mathematics. This confrontation of two kinds of foundations contributes to answering questions such as: Are foundations/foundational theories of classical mathematics of a different nature compared to those of constructive mathematics? Do they play the same role for the resp. mathematics? Are there connections between the two kinds of foundational theories? etc. The confrontation and comparison is often implicit and sometimes explicit. Its great advantage is to extend the traditional discussion of the foundations of mathematics and to render it at the same time more subtle and more differentiated. Another important aspect of the book is that some of its contributions are of a more philosophical, others of a more technical nature. This double face is emphasized, since foundations of mathematics is an eminent topic in the philosophy of mathematics: hence both sides of this discipline ought to be and are being paid due to.

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Présentation de l'éditeur

Focusing on the foundations, this volume explores both classical and constructive mathematics. Its great advantage is to extend the traditional discussion of the foundations of mathematics and to render it at the same time both subtle and more differentiated.

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Autres éditions populaires du même titre

9789400704305: Foundational Theories of Classical and Constructive Mathematics

Edition présentée

ISBN 10 :  9400704305 ISBN 13 :  9789400704305
Editeur : Springer, 2011
Couverture rigide