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assumed axioms behavior Bernoulli Bernoulli process Cauchy surface classical physics computable functions concept constraint corresponding deductive system defined definition deter deterministic differential equations discussion domain of dependence effectively computable Einstein's Einstein's field equations Empiricist ergodic example existence field equations finite frequency future futuristic Galilean invariance gravitational Grzegorczyk computable Hamiltonian heat equation Hilbert space implies infinite sequences infinity initial data initial value problem instantaneous interaction intuition Laplacian determinism laws of nature magnitudes measure minism Minkowski space-time Newtonian space-time non-deterministic notion null object observer occurrent facts ontological operators particle phase space philosophical physically possible worlds possible worlds prediction principle probability properties quantum mechanics quantum theory randomness regularity relative relativistic physics result scientific self-adjoint operators sense singularities slice solution spacelike spatial special relativistic structure symmetries tachyons theorem timelike tion translation invariance Turing machine unique vector velocity W2 agree