Intuitive Axiomatic Set Theory

ISBN-13: 9781032581200 / Twarda / 2024 / 368 str.

Jose L Garcia

Opis

Set theory can be rigorously and profitably studied through an intuitive approach, thus independently of formal logic. This book is addressed to all mathematicians and tries to convince them that this intuitive approach to axiomatic set theory is not only possible, but also valuable. 

Spis treści

1. Introduction. 2.  Objects, Collections, Sets. 3.  Classes. 4. Relations. 5. Maps, Orderings, Equivalences. 6. Numbers and Infinity. 7. Pure Sets. 8. Ordinals. 9.  ZF-Universes. 10. Cardinals and the Axiom of Choice. 11. Countable Universe. 12.  The constructible universe. 13. Boolean Algebras. 14. Generic extensions of a universe. 15. Independence proofs.

    

O autorze

The author is Emeritus Professor at University of Murcia, Spain. He began his study of Mathematics at the University of Granada (Spain). After several years teaching Mathematics in secondary school, he was enrolled by the University of Murcia (Spain) as a member of the group working on algebra, leaded by Prof. Gomez Pardo. He received his doctorate, and a permanent position in the same university. He became full professor and served for thirty years.