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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Universality in Set Theories: A Study in Formal Ontology

Universality in Set Theories: A Study in Formal Ontology

Bremer, Manuel

Hardcover

Series: Philosophische Analyse / Philosophical Analysis, Book 36

PhilosophyAnthropologyGeneral Racism & Ethnic Studies

ISBN10: 3110325268
ISBN13: 9783110325263
Publisher: De Gruyter
Published: Feb 22 2010
Pages: 125
Weight: 0.89
Height: 0.50 Width: 6.00 Depth: 9.00
Language: English

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?

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