The potential hierarchy of sets

Linnebo, Øystein (2013) The potential hierarchy of sets. The Review of Symbolic Logic 6 (2), pp. 205-228. ISSN 1755-0203.

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Official URL: http://dx.doi.org/10.1017/S1755020313000014

Abstract

Some reasons to regard the cumulative hierarchy of sets as potential rather than actual are discussed. Motivated by this, a modal set theory is developed which encapsulates this potentialist conception. The resulting theory is equi-interpretable with Zermelo Fraenkel set theory but sheds new light on the set-theoretic paradoxes and the foundations of set theory.

Metadata

Item Type:	Article
School:	Birkbeck Faculties and Schools > Faculty of Humanities and Social Sciences > School of Historical Studies
Depositing User:	Administrator
Date Deposited:	28 May 2013 12:44
Last Modified:	02 Aug 2023 17:04
URI:	https://eprints.bbk.ac.uk/id/eprint/7048

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