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4 votes
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Can we add set complements on top of ZF?

“Notes on a Relative Consistency Proof of Axioms A– K of Church’s Set Theory with a Universal Set,” unpublished lecture notes, Church Archives, box 47, Folder 5. Emerson Mitchell 1976. …
Flash Sheridan's user avatar
1 vote

Why should we believe in the axiom of regularity?

You’re not obliged to believe the axiom; see, for instance, https://en.wikipedia.org/wiki/Universal_set.
Flash Sheridan's user avatar
3 votes

Applications of ZFA-Set Theory

“Notes on a Relative Consistency Proof of Axioms A–K of Church’s Set Theory with a Universal Set,” unpublished lecture notes, Church Archives, box 47, Folder 5. Arnold Oberschelp 1964a. …
Flash Sheridan's user avatar