Practical Foundations of Mathematics

Know about the book -

Practical Foundations of Mathematics is written by Paul Taylor and published by Cambridge University Press. It's available with International Standard Book Number or ISBN identification 0521631076 (ISBN 10) and 9780521631075 (ISBN 13).

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.