Thomas comments on Can you recognize a random generator? - Less Wrong
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You can update the half-life from the TIME of the decay. But nothing from the fact that it was the atom number 2 and not the number 1 or any other.
I know. That's way I keep bringing up this "true random" case.
If I understand correctly, there is no physical difference between atom 2 and atom 1. There just is no fact of the matter to update on.
Say you have two diamonds, both marked with a million uranium 238 atoms.
You can measure in WHICH diamond the first decay will occur. An evidence you can't use it for any update then.