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wedrifid comments on How to Convince Me That 2 + 2 = 3 - Less Wrong
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Good point, in the case of waking up in a logically possible world, remembering a previous logically possible world, there is a non-zero possibility that you've actually gone from one to the other somehow. How low the probability is depends on the nature of the differences
I was too caught up in the case of waking up in a world where the world you remember is logically impossible.
Exactly. And with slightly different wording a world in which it seems like you have changed from one logical world to another is itself a just a logically possible world.
That would be awkward! It would require an awful lot of reality testing on the question of just how logically impossible things were. Even after that your confidence in just about anything would be fubared.