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Jack comments on A note on the description complexity of physical theories - Less Wrong
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There are two problems with this test.
First, the result of a coin flip is almost certainly determined by starting conditions. With enough knowledge of those conditions you could predict the result. Instead you should make a measurement on a quantum system, such as measuring the spin of an electron.
Second the result of this test does not distinguish between QI and not-QI. The probability of being knocked out or left awake is the same in both cases.
I suppose you could be assuming that your consciousness can jump arbitrarily between universes to follow a conscious version of you.... but no that would just be silly.
This is probably what Thomas meant by "quantum" coin flip.
You are right, I missed that. I probably shouldn't post comments when I'm hungry, I've got a few other comments like this to account for as well. :)