Universality in Set Theories A Study in Formal Ontology |
|
| Author:
| Bremer, Manuel |
| ISBN: | 978-3-86838-071-2 |
| Publication Date: | Aug 2010 |
| Publisher: | Ontos Verlag
|
| Book Format: | Hardback |
| List Price: | USD $96.00 |
Book Description:
|
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...
More Description
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.