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15 617 Ft
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Product details:
- Publisher Springer Nature Switzerland
- Date of Publication 11 June 2026
- ISBN 9783032100399
- Binding Hardback
- No. of pages229 pages
- Size 240x168 mm
- Language English
- Illustrations XIV, 229 p. 700
Categories
Long description:
"
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.
" MoreTable of Contents:
The Foundations of Logic.- (Axiomatic) Set Theory.- The Axiom of Choice.- The Natural Numbers: Transitive Closure.- Order.- Cardinality.
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