Mathematics Without Numbers: Towards a Modal-Structural Interpretation - Couverture rigide

Hellman, Geoffrey

 
9780198249344: Mathematics Without Numbers: Towards a Modal-Structural Interpretation

Synopsis

This treatise presents an interpretation of mathematics as the investigation of "structural possibilities", as opposed to absolute Platonic objects. After treating the natural numbers and analysis, the approach is extended to set theory, where it is shown how to dispense with a fixed universe of sets. Finally, problems of application to the physical world are addressed.

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Présentation de l'éditeur

Geoffrey Hellman presents a detailed interpretation of mathematics as the investigation of structural possibilities, as opposed to absolute, Platonic objects. After dealing with the natural numbers and analysis, he extends his approach to set theory, and shows how to dispense with a fixed universe of sets. Finally, he addresses problems of application to the physical world.

Revue de presse

Without doubt this volume is a major contribution to recent philosophy of mathematics and should be read by anyone interested in this difficult but philosophically central field. (Peter Clark, Times Higher Education Supplement)

rich, subtle, and insightful (Stewart Shapiro, Nous)

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780198240341: Mathematics without Numbers: Towards a Modal-Structural Interpretation (Clarendon Paperbacks)

Edition présentée

ISBN 10 :  0198240341 ISBN 13 :  9780198240341
Editeur : Oxford University Press, 1993
Couverture souple