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Hard Problem of the Scientific Method

The problem of its own foundation. The scientific method relies on observation, induction, and logical inference. But you cannot use the scientific method to prove the scientific method works without begging the question (using the tool to validate itself). Why trust induction? "Because it's worked before" is itself an inductive argument. Why trust logic or our senses? The method rests on philosophical assumptions (the uniformity of nature, the reliability of reason) that are necessarily taken on faith for the game to begin. The hard problem is that our ultimate tool for knowing has no non-circular justification.
Example: You drop an apple 10,000 times. It falls. You induce the law of gravity. The hard problem: What justifies the leap from "it happened every time I looked" to "it will always happen"? Nothing in logic or experience can prove the future will resemble the past. We just assume it will. The entire scientific edifice is built on this unsupported leap of faith, this "inference to the best explanation." It works spectacularly, but we cannot scientifically prove why it works without already assuming it does. It’s the ultimate bootstrap operation. Hard Problem of the Scientific Method.
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Hard Problem of the Scientific Method

The recursive issue that the scientific method, which tests hypotheses through experimentation, cannot be experimentally tested as the best way to find truth. You can't run a controlled trial comparing societies that use it to those that don't. Its validation is historical and pragmatic ("it works!"), which is a different kind of argument than the method itself produces. The hard problem is that our supreme tool for verification cannot verify itself.
Example: "He demanded 'scientific proof' for everything. When asked for scientific proof that the scientific method is the best way to get proof, he got angry. That's the hard problem of the scientific method: it's the ultimate authority that can't issue its own birth certificate."
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