The Potential Hierarchy of Sets

Oystein Linnebo

Research output: Contribution to journalArticle

32 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)205-228
Number of pages24
JournalReview of Symbolic Logic
Volume6
Issue number2
Early online date14 Mar 2013
DOIs
Publication statusPublished - Jun 2013

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Set Theory
Paradox
Hierarchy

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The Potential Hierarchy of Sets. / Linnebo, Oystein.

In: Review of Symbolic Logic, Vol. 6, No. 2, 06.2013, p. 205-228.

Research output: Contribution to journalArticle

Linnebo, Oystein. / The Potential Hierarchy of Sets. In: Review of Symbolic Logic. 2013 ; Vol. 6, No. 2. pp. 205-228.
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