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Foundational Theories of Classical and Constructive Mathematics (The Western Ontario Series in Philosophy of Science, Band 76) - Softcover

Buch 7 von 37: The Western Ontario Series in Philosophy of Science
 
9789400735613: Foundational Theories of Classical and Constructive Mathematics (The Western Ontario Series in Philosophy of Science, Band 76)
Softcover
ISBN 10: 9400735618 ISBN 13: 9789400735613
Verlag: Springer, 2013

Inhaltsangabe

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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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 foundations? Etc. The confrontation and comparison is often implicit and sometimes explicit. Its great advantage is to extend the traditional discussion of 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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Verlag
Springer
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
9400735618
ISBN 13 
9789400735613
Einband
Taschenbuch
Anzahl der Seiten
328
Herausgeber
Sommaruga Giovanni
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9789400704305: Foundational Theories of Classical and Constructive Mathematics (The Western Ontario Series in Philosophy of Science, 76, Band 76)

Vorgestellte Ausgabe

ISBN 10:  9400704305 ISBN 13:  9789400704305
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Hardcover