Karl Popper, "The Logic of Scientific Discovery" is a seminal work in the modern philosophy of science. It proposes to solve the problem of induction, and his proposal of falsifiability is, to my knowledge, the most popular philosophical framework for modern scientific practice. I'd be interested in what the above commenter has to say about Popper, though, as I am not well-read outside of his work, as my focus is on the history of science.
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