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fubarobfusco comments on Pluralistic Existence in Many Many-Worlds - Less Wrong Discussion
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Nothing's bad about it, but I don't think you can actually imagine the thing you said you could!
Maybe we have different definitions for the term imagine. As far as I'm concerned, by describing your question you imagined it. If you are worried about it being logically inconsistent in this particular universe, imagine a universe where an algorithm's halting behavior changes after it's been fed through the magic box in question. My universe - my rules. Or lack thereof.
Okay, at this point I think we have different definitions for "universe". The one you're describing can't be consistently described.
I think we have different definitions of the term "consistency". If you define it as "lack of contradiction in the classical first-order logic", then sure, but why be so restrictive?