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Kenny comments on The Conscious Sorites Paradox - Less Wrong
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I only have limited experience studying mathematics seriously, but from what I understand of continuity, I can't help think but that there's no reason to expect reality to actually be continuous. It's too easy to get apparent continuity out of (even sorta) large numbers.
I think that particular continuity is an illusion, anyhow. One should count eigenstates. There are countably many eigenstates, none of which is classical. It is in trying to assert a definite position that this particular continuity issue comes up.