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End-extensions preserving power set

Published online by Cambridge University Press:  12 March 2014

Thomas Forster  and
Richard Kaye
Thomas Forster
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB2 1SB, England
Richard Kaye
Affiliation:
Jesus College, Oxford OX1 3DW, England
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Abstract

We consider the quantifier hierarchy of Takahashi [1972] and show how it gives rise to reflection theorems for some large cardinals in ZF, a new natural subtheory of Zermelo's set theory, a potentially useful new reduction of the consistency problem for Quine's NF, and a sharpening of another reduction of this problem due to Boffa.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 56 , Issue 1 , March 1991 , pp. 323 - 328
Copyright
Copyright © Association for Symbolic Logic 1991

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References

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