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I am looking for more information on the axiomatic treatment of physics. I have found some articles concerning the axioms of quantum mechanics, i.e. the Dirac-Von Neumann axioms. However, I am having a hard time finding anything on the classical version of these axioms. In these axioms, observables are represented by random variables, for instance. There also seem to be numerous attemps of philosphers to axiomatise physics, but these seem to distinct from the particular axiomatisation I am searching for. Can someone help me find some more information?