  Probability theory as a physical theory is, in a sense, the most general
physics theory available, more encompassing than relativity theory and quantum
mechanics, which comply with probability theory. Taking this simple fact
seriously, I argue that probability theory points towards superdeterminism, a
principle that underlies, notably, 't Hooft's Cellular Automaton Interpretation
of quantum mechanics. Specifically, I argue that superdeterminism offers a
solution for 1) Kolmogorov's problem of probabilistic dependence; 2) the
interpretation of the Central Limit Theorem; and 3) Bell's theorem.
Superdeterminism's competitor, indeterminism ('no hidden variables'), remains
entirely silent regarding 1) and 2), and leaves 3) as an obstacle rather than a
solution for the unification of quantum mechanics and general relativity. This
suggests that, if one wishes to stick to the standard position in physics and
adopt the principles with the highest explanatory power, one should adopt
superdeterminism and reject indeterminism. Throughout the article precise
questions to mathematicians are formulated to advance this research.
