[FOM] surjection from S^2 onto Pow(S), CORRECTION

Harvey Friedman hmflogic at gmail.com
Tue Oct 2 02:12:04 EDT 2012


In http://www.cs.nyu.edu/pipermail/fom/2012-October/016714.html

I wrote

"Does anybody have a reference to this statement?

ZF proves that the following are equivalent:

1. there is a surjective map from S x S onto its power set.
2. S has exactly two sets."

I meant this:

Does anybody have a reference to this statement?

ZF proves that the following are equivalent:

1. there is a surjective map from S x S onto Pow(S).
2. S has exactly two, three, or four elements.

Harvey Friedman.


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