  The title refers to the Free Will Theorem by Conway and Kochen whose flashy
formulation is: if experimenters possess free will, then so do particles. In
more modest terms, the theorem says that individual pairs of spacelike
separated particles cannot be described by deterministic systems provided their
mixture is the same for all choices of measurement settings. We reformulate and
generalize the Free Will Theorem theorem in terms of systems of random
variables, and show that the proof is based on two observations: (1) some
compound systems are contextual (non-local), and (2) any deterministic system
with spacelike separated components is non-signaling. The contradiction between
the two is obtained by showing that a mixture of non-signaling deterministic
systems, if they exist, is always noncontextual. The "experimenters' free will"
(independence) assumption is not needed for the proof: it is made redundant by
the assumption (1) above, critical for the proof. We next argue that the reason
why an individual pair of particles is not described by a deterministic system
is more elementary than in the Free Will Theorem. A system, contextual or not
and deterministic or not, includes several choices of settings, each of which
can be factually used without changing the system. An individual pair of
particles can only afford a single realization of random variables for a single
choice of settings. With this conceptualization, the "free will of
experimenters" cannot be even meaningfully formulated, and the choice between
the determinism and "free will of particles" becomes arbitrary and
inconsequential.

Quantum Physics;Probability