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Axiomatic Set Theory

Name: Axiomatic Set Theory
Brand: Springer-Verlag GmbH
SKU: 49742344
Price: 15556 HUF
Availability: PreOrder
Author: George Tourlakis
ISBN: 9783032100399

George Tourlakis

Language

English

Book Hardback

Libristo code: 49742344

Publishers Springer-Verlag GmbH, March 2026

This book discusses set theory as the foundation and language of all mathematics and how axiomatic s... Full description

Libristo code: 49742344

107 b

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This book discusses set theory as the foundation and language of all mathematics and how axiomatic set theory benefits from advances in logic. Chapters are written to be accessible and formative for majors in mathematics, computer science, and philosophy. The author presents the important tools and topics including relations and functions, the concept of order, induction and inductive definitions, Cantor s diagonalisation as well as ordinals and cardinals. The axioms of (ZFC) set theory are introduced with natural axiomatizations and informal justifications, which is relatively distinctive. Interesting topics such as computing the support of sets by a recursively defined function and the von Neumann Hierarchy are included.