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A choice free theory of Dedekind cardinals1

Published online by Cambridge University Press:  12 March 2014

Erik Ellentuck
Erik Ellentuck*
Affiliation:
RutgersThe State University
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Extract

In this paper we continue our investigation of the Dedekind cardinals which was initiated in [2]. Those results are summarized below. Let ω be the finite cardinals and Δ the Dedekind cardinals. In [7] Myhill defined a class of functions ƒ: Χκω→ω, which he called the combinatorial functions, and which he applied to the study of recursive equivalence types.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 34 , Issue 1 , 29 May 1969 , pp. 70 - 84
Copyright
Copyright © Association for Symbolic Logic 1969

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Footnotes

1

Research for this paper was supported in part by National Science Foundation contract number GP 5786.

References

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