The Foundations of Mathematics in the Theory of Sets - Couverture souple

Livre 71 sur 188: Encyclopedia of Mathematics and its Applications

Mayberry, John P.

 
9780521172714: The Foundations of Mathematics in the Theory of Sets
Couverture souple
ISBN 10 : 0521172713 ISBN 13 : 9780521172714
Editeur : Cambridge University Press, 2011

Synopsis

This 2001 book presents a unified approach to the foundations of mathematics in the theory of sets, covering both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of 'natural number' and 'set'. This leads to an investigation of the logic of quantification over the universe of sets and a discussion of its role in second order logic, as well as in the analysis of proof by induction and definition by recursion. The subject matter of the book falls on the borderline between philosophy and mathematics, and should appeal to both philosophers and mathematicians with an interest in the foundations of mathematics.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This 2001 book presents a unified approach to the foundations of mathematics in the theory of sets, covering both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of 'natural number' and 'set'. This leads to an investigation of the logic of quantification over the universe of sets and a discussion of its role in second order logic, as well as in the analysis of proof by induction and definition by recursion. The subject matter of the book falls on the borderline between philosophy and mathematics, and should appeal to both philosophers and mathematicians with an interest in the foundations of mathematics.

Revue de presse

Review of the hardback: ' ... this book is thought-provoking ... distinctive approach to the twin issues of mathematical ontology and mathematical foundations'. Australasian Journal of Philosophy

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

Éditeur
Cambridge University Press
Date d'édition
2011
Langue
anglais
ISBN 10 
0521172713
ISBN 13 
9780521172714
Reliure
Broché
Nombre de pages
446
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9780521770347: The Foundations of Mathematics in the Theory of Sets

Edition présentée

ISBN 10 :  0521770343 ISBN 13 :  9780521770347
Editeur : Cambridge University Press, 2001
Couverture rigide