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PCA well-orderings of the line

Published online by Cambridge University Press:  12 March 2014

Harvey Friedman
Harvey Friedman*
Affiliation:
Stanford University, Stanford, California 94305 Suny at Buffalo, Amherst, New York 14226
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Abstract

There is a PCA well-ordering of the real line if and only if there is a real from which every real is constructible.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 39 , Issue 1 , March 1974 , pp. 79 - 80
Copyright
Copyright © Association for Symbolic Logic 1974

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References

REFERENCES

[1]Addison, T. W., Some consequences of the axiom of constructibility, Fundamenta Mathematicae, vol. 46 (1959), pp. 123–135.CrossRefGoogle Scholar
[2]Friedman, H., Minimality in the ∆-degrees, Fundamenta Mathematicae (to appear).Google Scholar
[3]Mansfield, R., On the possibility of a well-ordering of the Baire space (to appear).Google Scholar
[4]Martin, D. A., Projective sets and cardinal numbers, this Journal (to appear).Google Scholar