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Inverse View
It is not the case that Leftow's defense that a distance of zero is just an absence of distance fails.
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Reasons For
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Reason for
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A distance of zero would seem to be a distance, not an absence of distance.
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Reasons Against
2 perspectives
Reason against 1 of 2
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1.
In metric space theory, a distance of zero between two distinct points violates the identity of indiscernibles, entailing the points are identical.
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2.
If God and temporal moments are numerically distinct yet at zero distance, Leftow's account collapses into a contradiction by metric axioms.
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3.
A genuine absence of distance requires non-relational separation, not a limiting case of a relational magnitude that presupposes the relata.
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Reason against 2 of 2
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1.
Aquinas distinguishes privation from negation: zero distance is a privation of magnitude, which still posits a relational framework between terms.
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2.
Leftow's 'absence' reading smuggles in a negation where the mathematics demands a privation, conflating distinct ontological categories.
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