
Universality in Set Theories
A Study in Formal Ontology
Manuel Bremer(Author)
editiones scholasticae (Publisher)
Published on 24. February 2010
Book
Hardback
125 pages
978-3-86838-071-2 (ISBN)
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Description
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 developing a theory of the universal set. We have to ask: Are there different aspects to universality in set theory, which stand in conflict to each other? May inconsistency be the price to pay to circumvent ineffability? And most importantly: How far can axiomatic ontology take us out of the problems around universality?
More details
Series
Language
English
Place of publication
Heusenstamm
Germany
Target group
Philosophen
Dimensions
Height: 150 mm
Width: 210 mm
Weight
368 gr
ISBN-13
978-3-86838-071-2 (9783868380712)
Schweitzer Classification
Other editions
New editions

Book
02/2010
1st Edition
De Gruyter
€134.95
Shipment within 7-9 days
Person
Manuel Bremer is professor of philosophy at the University of Düsseldorf (Germany). His areas of specialization are philosophical logic and the philosophy of language. His publications with Ontos include Philosophische Semantik and Information and Information Flow.