Axiomatize all of Physics

Hilbert $23$: Problem $6$

Mathematical treatment of the axioms of physics:

$(1): \quad$ An axiomatic treatment of probability with limit theorems for foundation of statistical physics

$(2): \quad$ The rigorous theory of limiting processes "which lead from the atomistic view to the laws of motion of continua".

Progress

This has been partially resolved.

This resolution depends on how the original statement is interpreted.

Items $(1)$ and $(2)$ were two specific problems given by Hilbert in a later explanation.

The Kolmogorov's axioms are now accepted as a standard way of specifying probability.

There is also some success on the way from the "atomistic view to the laws of motion of continua."