This article is a survey of the recent results that concern
real functions (from $$**R**^{n}
into **R**)
and whose solutions or statements involve the use of set theory.
The choice of the topics follows the author's personal
interest in the subject, and there are probably some important results
in this area that did not make to this survey.
Most of the results presented here are left without the proofs.

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**Last modified January 19, 2014.**