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Kaj_Sotala comments on Intuitive differences: when to agree to disagree - Less Wrong
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Original reasons for adopting a belief may be tangled and forgotten, but if your differing beliefs lead to differing concrete predictions, you should be able to test them without diving into the original justifications.
Yes, you can also use new evidence to compare the intuitions, instead of going back to the old ones. I actually meant to say this in the post, but didn't come across very clearly. Not that it'd make much of a difference - you're still looking at general trends instead of anything tightly and narrowly defined, so you still need a small mountain of cases to test the predictions on.