It's definitely not just about mathematics. What the scientific community considers acceptable (as in publishable in a good journal) proof has been shaped by th

It's definitely not just about mathematics. What the scientific community considers acceptable (as in publishable in a good journal) proof has been shaped by the last 100 years of logic practice. Yes, we had rational reasoning before 1900, but it did not look anything like today's "rationality". We used to do piggy-back mathematical models to experiments; now we build from the ground up models and we try to make sure that they match our experiments. This is basically the mindset change that happened in the math community when logicians said that "it's not math if it doesn't start with axioms" (no, I'm not actually quoting anyone). Also, the second paragraph of my first comment is not about logic.