David Deutsch Quotes on Knowledge
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The overwhelming majority of theories are rejected because they contain bad explanations, not because they fail experimental tests.
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Think of all our knowledge-generating processes, our whole culture and civilization, and all the thought processes in the minds of every individual, and indeed the entire evolving biosphere as well, as being a gigantic computation. The whole thing is executing a self-motivated, self-generating computer program. More specifically it is, as I have mentioned, a virtual-reality program in the process of rendering, with ever-increasing accuracy, the whole of existence.
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The next chapter is likely to provoke many mathematicians. This can't be helped. Mathematics is not what they think it is. (Ch. 10)
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Mathematical knowledge may, just like our scientific knowledge, be deep and broad, it may be subtle and wonderfully explanatory, it may be uncontroversially accepted; but it cannot be certain. (Ch. 10)