Ghazzali comments on The Wonder of Evolution - Less Wrong
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If all science must be in theory falsifiable, and evolution is good science, can you give me some parameters or predictions that if they were found to be true would hurt the theory of evolution?
What would scientists need to find in the future that would seriously do damage to the theory?
The standard snappy answer to this one is "fossil rabbits in the precambrian".
More generally, if we found fossils of organisms with complex adaptations which reliably dated to a time before those adaptations could plausibly have occurred (because the necessary precursors didn't exist,) then that would be a strong indication that our understanding of the development of species is wrong.
Any number of things. One example would be traits appearing in advance of conditions that would make them favorable e.g. a deep ocean fish developing legs or a reptile developing wings while it is too heavy for the wings to increase the length of its jumps. Another would be one species adopting traits of another through direct transfer of genes, rather than through separate evolutionary lines e.g. a snake using a variety of venom that was previously only in spiders.
I could probably come up with several hundred examples, if you really needed that many. None of them are particularly likely though: there is a huge weight of evidence behind modern evolutionary theory, which means it is almost certainly true.
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).
But this doesn't make it unfalsifiable, strictly speaking, because it can still be tested like any other empirical claim, similar to how one might "test" 2+2=4.
Sure, that.
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.