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Book/Printed Material Universality in set theories : a study in formal ontology

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About this Item

Title

  • Universality in set theories : a study in formal ontology

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 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?

Names

  • Bremer, Manuel Eugen, author.

Created / Published

  • Frankfurt, Germany : Ontos Verlag, 2010.
  • ©2010

Headings

  • -  Ontology

Genre

  • Electronic books

Notes

  • -  Includes bibliographical references.
  • -  Description based on online resource; title from PDF title page (degruyter WWW site, viewed August 05, 2020).

Medium

  • 1 online resource (125 pages).

Call Number/Physical Location

  • B3999.O6

Digital Id

Library of Congress Control Number

  • 2020394779

Rights Advisory

Access Advisory

  • Unrestricted online access

Online Format

  • image
  • pdf

Additional Metadata Formats

Rights & Access

The books in this collection are licensed under open access licenses allowing for the reuse and distribution of each book following the terms described in each license. Researchers should consult the Rights Advisory statement for each title and the accompanying license details for information about rights and permissions associated with each of the licenses.

More about Copyright and other Restrictions.

Cite This Item

Citations are generated automatically from bibliographic data as a convenience, and may not be complete or accurate.

Chicago citation style:

Bremer, Manuel Eugen, Author. Universality in Set Theories: A Study in Formal Ontology. Frankfurt, Germany: Ontos Verlag, . ©, 2010. Pdf. https://aj.sunback.homes/item/2020394779/.

APA citation style:

Bremer, M. E. (2010) Universality in Set Theories: A Study in Formal Ontology. Frankfurt, Germany: Ontos Verlag, . ©. [Pdf] Retrieved from the Library of Congress, https://aj.sunback.homes/item/2020394779/.

MLA citation style:

Bremer, Manuel Eugen, Author. Universality in Set Theories: A Study in Formal Ontology. Frankfurt, Germany: Ontos Verlag, . ©, 2010. Pdf. Retrieved from the Library of Congress, <aj.sunback.homes/item/2020394779/>.