Notes on Set Theory - Brossura

Moschovakis, Yiannis N.

Brossura

ISBN 10: 3540941800 ISBN 13: 9783540941804

Casa editrice: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1994

Riassunto

This text covers the basic facts about abstract sets, including the axiom of choice, transfinite recursion, cardinals, ordinals and the cumulative hierarchy of well founded sets. It also includes a chapter on Baire space, focusing on results of interest to analysts and introducing the reader to the continuum problem; an appendix with a reasonably detailed construction of the real numbers; and a second appendix introducing set universes, which satisfy conditions that include Aczel's Antifoundation. Most of the results are derived within Zermelo-Fraenkel set theory with depended choices, which allows atoms and non-well founded sets, with the full axiom of choice and the axiom of foundation assumed explicitly where needed. To clarify the role of set theory as a foundation of mathematics - including computation theory - the book uses the notion of the faithful representation of mathematical objects by structured sets.

Dettagli dell?edizione

• Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Data di pubblicazione: 1994
• Lingua: Inglese
• ISBN 10: 3540941800
• ISBN 13: 9783540941804
• Rilegatura: Copertina flessibile
• Numero di pagine: 286
• Contatto del produttore: non disponibile