rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Universality in set theories
    sub title: a study in formal ontology
  title info:
    title: Free access
  name:
    name part: Bremer, Manuel Eugen
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Walter de Gruyter & Co
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 2010
    copyright date: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (125 pages).
  abstract: 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?
  note: Manuel Bremer.
  note: Includes bibliographical references.
  subject:
    topic: Ontology
  subject:
    topic: Ontologie
  subject:
    topic: ontology (metaphysics)
  subject:
    topic: Ontology
  classification: B3999.O6
  classification: 111/.2
  related item:
    title info:
      title: Philosophische analyse / Philosophical analysis ; volume 36
  related item:
    title info:
      title: Universality in set theories
  identifier: 9783110326109
  identifier: 3110326108
  identifier: 9783110325263
  identifier: 386838071X
  identifier: 9783868380712
  identifier: 2020394779
  identifier: 01245874
  identifier: https://www.degruyter.com/openurl
  record info:
    record content source: DLC
    record creation date: 200805
    record change date: 20240212223434.3
    record identifier: in00004774047
    language of cataloging:
      language term: eng