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Tourlakis

Axiomatic Set Theory

An Introduction

Medium: Buch
ISBN: 978-3-032-10039-9
Verlag: Springer-Verlag GmbH
Erscheinungstermin: 04.08.2026
vorbestellbar, Erscheinungstermin ca. August 2026

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.


Produkteigenschaften


  • Artikelnummer: 9783032100399
  • Medium: Buch
  • ISBN: 978-3-032-10039-9
  • Verlag: Springer-Verlag GmbH
  • Erscheinungstermin: 04.08.2026
  • Sprache(n): Englisch
  • Auflage: Erscheinungsjahr 2026
  • Serie: Synthesis Lectures on Mathematics & Statistics
  • Produktform: Gebunden
  • Seiten: 229
  • Format (B x H): 168 x 240 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

The Foundations of Logic.- (Axiomatic) Set Theory.- The Axiom of Choice.- The Natural Numbers: Transitive Closure.- Order.- Cardinality.