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Universality in set theories : a study in formal ontology

Author: Manuel Bremer
Publisher: [Munchen] : [De Gruyter], [2013]
Series: Philosophische Analyse / Philosophical Analysis.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Bremer, Manuel.
Universality in Set Theories : A Study in Formal Ontology.
Berlin : De Gruyter, ©2010
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Manuel Bremer
ISBN: 9783110326109 3110326108
OCLC Number: 854569278
Description: 1 online resource (125 pages :) : illustrations.
Contents: Introduction; i --
iteration, foundation, and reflection; ii --
limitations of size; iii --
virtual sets and constructivism; iv --
consistent set theories with universal set; v --
paraconsistent set theories with a universal set; vi --
broader ontological reflections; abbreviations and notation; references.
Series Title: Philosophische Analyse / Philosophical Analysis.
Responsibility: Manuel Bremer.

Abstract:

Set theories are ontologies. They posit sets and claim that these exhibit the essential properties laid down in the set theoretical axioms. This book discusses the fate of universality and a  Read more...

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