The Potential Hierarchy of Sets

Oystein Linnebo

Research output: Contribution to journalArticlepeer-review

82 Citations (Scopus)


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
Issue number2
Early online date14 Mar 2013
Publication statusPublished - Jun 2013


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