Title: On the Free Will Theorem of Conway and Kochen

John Horton Conway and Simon Kochen have presented a "free will theorem" which they claim shows that "if indeed we humans have free will, then [so do] elementary particles." In a more precise fashion, they claim it shows that for certain quantum experiments in which the experimenters can choose between several options, no deterministic or stochastic model can account for the observed outcomes without violating a condition "MIN" motivated by relativistic symmetry.

However, the free will theorem itself explicitly refers only to deterministic models; its upshot is that no deterministic model satisfying MIN can account for the observations, a fact proven also by John Bell's inequality argument of 1964. For stochastic models, on the other hand, Conway and Kochen have not made precise the meaning of MIN. I will present examples of stochastic models illustrating that, depending on the interpretation of MIN, either MIN is not a reasonable requirement or the claim that stochastic models satisfying MIN cannot account for the observations is wrong.