... and where it would require probably more bits of information than the human mind can handle to communicate the version of the thought experiment which doesn't make that type error by communicating the quantity instead of the term of type Nat"
The you-after-1000-years says to a forked copy of you, "I have exhaustively verified this computational machinery. Choose wisely."
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(Omega resets both copies & repeats this process a gajillion times until they find the combination of words which creates in you the correct state of belief)
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What does that get you? Yes, we can hypothesize all sort of you-like things which come to believe arbitrary things. But you aren't them; you don't know what it is like to be them.
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