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Bugmaster comments on The Wonder of Evolution - Less Wrong
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There is at least some sense in which the general pattern of evolution is not falsifiable - but to precisely that extent, it's not science. There is a mathematical certainty that an evolution-like process would occur in a system with random heritable changes that can selectively help or hinder reproduction. For a theist to deny evolution exists in general, they would have to insist God actively stops it from happening every day (or deny that random heritable mutations occur, or deny that they can help or hinder reproduction).
Thus, finding some evidence that random mutations are not actually random, but part of some global pattern, might reduce our confidence in the theory of biological evolution (as per Ghazzali's original challenge, above).
Discovering evidence for some sort of Lysenkoism would also work, but might be harder to achieve, since all the evidence we'd found so far points in the opposite direction.