First principle of epistemology (confidence in belief must equal evidence in support) is the foundation of gaining agency over one's beliefs, but incompatible with many religious narratives. If you get through the school of mysteries, do they eventually tell you this secret?
Philosophers of science spent decades trying to find a provably correct theory of induction. Instead, they found more and more reasons to think that no such theory is possible.
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Half a century ago, the field switched to trying to understand more clearly why no such theory is possible, and (more importantly) why science often works anyway.
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There are many different reasons (which the Eggplant book is supposed to explain). A simple one: there are always unboundedly many things that *might* happen, that you can’t know about.
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So there is no proof, just handwaving. (Btw., would you not be surprised if there was such a proof?)
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There aren’t any proofs of anything, other than in math. There is only evidence and reasoning, which can’t add up to proof. Sometimes they are overwhelmingly convincing, though.
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