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Eliminating the continuum hypothesis

Published online by Cambridge University Press:  12 March 2014

Richard A. Platek
Richard A. Platek*
Affiliation:
Cornell University
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Extract

In this paper we show how the assumption of the generalized continuum hypothesis (GCH) can be removed or partially removed from proofs in Zermelo-Frankel set theory (ZF) of statements expressible in the simple theory of types. We assume the reader is familiar with the latter language, especially with the classification of formulas and sentences of that language into Σκη and Πκη form (cf. [1]) and with how that language can be relatively interpreted into the language of ZF.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 34 , Issue 2 , 25 July 1969 , pp. 219 - 225
Copyright
Copyright © Association for Symbolic Logic 1969

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Footnotes

1

The results described in this paper were obtained while the author was a C. L. E. Moore Instructor at M.I.T. The paper was prepared under National Science Foundation grant GP 8732.

References

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[3] Platek, R. A., Eliminating the continuum hypothesis, Notices of the American Mathematical Society, vol. 14 (1967), p. 366.Google Scholar
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