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.
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.
José Luis García is Emeritus Professor at the 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, led by Professor Gomez Pardo. He received his doctorate and a permanent position at the same university. He developed his research on Ring and Module Theory. He became full professor in 1991, and then served for thirty years.
Inhaltsangabe
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.
