All inference is just statistical probability. Every answer you give outside of your direct experience is just you infering what might be the answer. Even things we hold as verifiable truth that we haven’t experienced is just a guess that the person who told it to us isn’t lying or has some sort of proof to there statement.

Take some piece of knowledge like “Biden won the 2020 election” me and you would probably agree this is the truth, but we can’t possibly “know” it’s the truth or connect it to some verifiable experience, we never counted every ballot or were at every polling station. We “know” it’s the truth because more people, and more respectable people, told us it was and our brain makes a statistical guess that their answer is right based on their weight. Just like an LLM other people will hallucinate or bullshit and come on the other side of that guess and assert the opposite and even make up stuff to go along with that story.

This in essence is what reasoning is, you weigh the possibilities of either side being correct, and pick the one that has more weight. That’s why science, an epistemological application of reason, is so heavily reliant on statistics…