Universality in set theories : a study in formal ontology / Manuel Bremer
(Philosophische Analyse / Philosophical Analysis)
データ種別 | 電子ブック |
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出版情報 | [Munchen] : [De Gruyter] , [2013] |
本文言語 | 英語 |
大きさ | 1 online resource (125 pages) : illustrations |
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資料種別 | 機械可読データファイル |
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内容注記 | 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 |
一般注記 | 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 dev Open Access In English Includes bibliographical references |
著者標目 | *Bremer, Manuel. |
件 名 | LCSH:Ontology BISACSH:PHILOSOPHY -- Metaphysics 全ての件名で検索 FREE:Ontology LCSH:Electronic books BSH:Electronic books |
分 類 | DC:111 |
書誌ID | ED00002206 |
ISBN | 9783110326109 |