Not a mathematician but some thoughts: The idea of 'infinity' may get in the way. The universe doesn't have an infinite number of particles, it has a finite bu

Not a mathematician but some thoughts: The idea of 'infinity' may get in the way. The universe doesn't have an infinite number of particles, it has a finite but uncountable number. Many can be ignored. The thermodynamics of a closed box can calculated well enough while ignoring the neutrinos. Some physical constants are irrational, but having only a few digits is very helpful. The idea of a 'proof' may be reduced to a reasonable proof. Goldbach, for example: maybe there's rigorous proof up to a reasonable value. For now!