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Instead of trying to define specific distance measures in a bottom-up piecemeal way, a more modest, more tractable, top-down approach might be to posit the existence of a (possibly partial) relation of likeness on worlds, satisfying various plausible structural features and desirable principles.
Number is a variable for getting partial circle effects like animation motion likenesses when a fraction because the next piece, *PI/PiDivisor.
Likeness to what Principle?
The likeness here is remarkable.
The likeness is imprecise.
His likeness already is.
Their physical likeness is eerie.
But any likeness ends there.
There is one genuine likeness.
But the likeness is unmistakable.
There, though, the likeness ends.
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