Universality in Set Theories: A Study in Formal Ontology (Philosophical Analysis) - Hardcover

Bremer, Manuel

Hardcover

ISBN 10: 386838071X ISBN 13: 9783868380712

Publisher: ontos verlag, 2010

Synopsis

The book discusses the fate of universality and a universal set in several set theories. 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.

Edition details

• Publisher: ontos verlag
• Publication date: 2010
• Language: English
• ISBN 10: 386838071X
• ISBN 13: 9783868380712
• Binding: Hardcover
• Number of pages: 125