  In an attempt to demonstrate that local hidden variables are mathematically
possible, Pitowsky constructed "spin-$\frac12$ functions" and later
"Kolmogorovian models", which employs a nonstandard notion of probability. We
describe Pitowsky's analysis and argue (with the benefit of hindsight) that his
notion of hidden variables is in fact just super-determinism (and accordingly
physically not relevant). Pitowsky's first construction uses the Continuum
Hypothesis. Farah and Magidor took this as an indication that at some stage
physics might give arguments for or against adopting specific new axioms of set
theory. We would rather argue that it supports the opposing view, i.e., the
widespread intuition "if you need a non-measurable function, it is physically
irrelevant".
