Practical Foundations of Mathematics (Cambridge Studies in Advanced Mathematics, Series Number 59)

Taylor, Paul

ISBN 10: 0521631076 / ISBN 13: 9780521631075

Edité par Cambridge University Press, 1999

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N° de réf. du vendeur I-9780521631075

Détails bibliographiques

• Titre: Practical Foundations of Mathematics (Cambridge Studies in Advanced Mathematics, Series Number 59)
• Éditeur: Cambridge University Press
• Date de parution: 1999
• Langue: anglais
• ISBN à 10 chiffres: 0521631076
• ISBN à 13 chiffres: 9780521631075
• Reliure: Couverture rigide
• État de l'article: New

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Synopsis

Practical Foundations collects the methods of construction of the objects of twentieth-century mathematics. Although it is mainly concerned with a framework essentially equivalent to intuitionistic Zermelo-Fraenkel logic, the book looks forward to more subtle bases in categorical type theory and the machine representation of mathematics. Each idea is illustrated by wide-ranging examples, and followed critically along its natural path, transcending disciplinary boundaries between universal algebra, type theory, category theory, set theory, sheaf theory, topology and programming. Students and teachers of computing, mathematics and philosophy will find this book both readable and of lasting value as a reference work.