Oh, true! I was going to reply that since probability is just a function of a physical system, and the physical system is continuous, then probability is continuous… but if you change an integer variable in C from 35 to 5343 or whatever, there’s no real sense in which the variable goes through all intermediate values, even if the laws of physics are continuous.
That’s only true if the probability is a continuous function—perhaps the probability instantaneously went from below 28% to above 28%.
Oh, true! I was going to reply that since probability is just a function of a physical system, and the physical system is continuous, then probability is continuous… but if you change an integer variable in C from 35 to 5343 or whatever, there’s no real sense in which the variable goes through all intermediate values, even if the laws of physics are continuous.