Universality in Set Theories : A Study in Formal Ontology
Language: English
Published by De Gruyter, 2010
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 166.58
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Add to basketItem description from seller
Druck auf Anfrage Neuware - Printed after ordering - 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.
Seller Inventory # 9783110325263
- Title
- Universality in Set Theories : A Study in Formal Ontology
- Author
- Manuel Bremer
- Publisher
- De Gruyter
- Publication year
- 2010
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3110325268
- ISBN 13
- 9783110325263
- Item weight
- 288 grams
- Dimensions
- 216x153x12 mm
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?
"Synopsis" may belong to another edition of this title.
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