UID:
kobvindex_HPB854569278
Format:
1 online resource (125 pages) :
,
illustrations
ISBN:
9783110326109
,
3110326108
,
3110325268
,
9783110325263
Series Statement:
Philosophische Analyse / Philosophical Analysis
Content:
The book discusses the fate of universality and a universal set in several set theories. The book aims at a philosophical study of ontological and conceptual questions around set theory. Set theories are ontologies. They posit sets and claim that these exhibit the essential properties laid down in the set theoretical axioms. Collecting these postulated entities quantified over poses the problem of universality. Is the collection of the set theoretical entities itself a set theoretical entity? What does it mean if it is, and what does it mean if it is not? To answer these questions involves dev.
Note:
Introduction; i -- iteration, foundation, and reflection; ii -- limitations of size; iii -- virtual sets and constructivism; iv -- consistent set theories with universal set; v -- paraconsistent set theories with a universal set; vi -- broader ontological reflections; abbreviations and notation; references.
,
In English.
Additional Edition:
Print version: Bremer, Manuel. Universality in Set Theories : A Study in Formal Ontology. Berlin : De Gruyter, ©2010 9783110325263
Language:
English
Keywords:
Electronic books.
;
Electronic books.
DOI:
10.1515/9783110326109
URL:
http://VH7QX3XE2P.search.serialssolutions.com/?V=1.0&L=VH7QX3XE2P&S=AC_T_B&C=Universality%20in%20Set%20Theories.%20A%20Study%20in%20Formal%20Ontology&T=marc&tab=BOOKS
URL:
Walter De Gruyter: Open Access eBooks
