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There can be no mathematical solution to Zeno's paradoxes because the
paradoxes are about physical reality.
Most mathematical solutions to Zeno's paradoxes casually assume a
Newtonian -Euclidean view of physical reality, which are scale
invariant.
But reality is NOT scale invariant and the world would be very
different if it were.
Among other things, Zeno is merely pointing out our natural discomfort
with the idea of
continued halving.
A modern quantum solution to Zeno's paradoxes is still
discomforting..
Cheers
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