I'm pretty sure the parent comment just dunked on you by demonstrating a deep well-read understanding of the underpinnings of both logic and statistics.
You're commenting on the wrong site (or just ignoring the rules & spirit of discussion) if you thought it necessary to tell someone they got "dunked on".
On the matter of probability and science, I like how Karl Popper put it, although I can't find the text now so I must report it from memory. His point was that scientific hypothesis formation is an instance of inductive generalisation while probabilistic inference is a form of abductive reasoning, and so using probability to support an inductively derived hypothesis is basically supporting a guess, with another guess.
Statistics of course is not the same as probability. Personally I think statistics is a bunch of hooey.