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The consistency strength of NFUB

1997/07/30 by Robert M Solovay, Solovay, Robert M.
Computer Science · #Formal Methods in Verification #Logic, programming, and type systems

paper · pdf · doi:10.48550/arxiv.math/9707207

Abstract

We show that the consistency strength of the system NFUB, a variant of Quine's "New Foundations" recently introduced by Randall Holmes, is precisely that of [ZFC - Power Set] + "There is a weakly compact cardinal''. This is a preliminary draft of the paper. Nevertheless, it contains a complete proof.

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