One of the implications of this paradox is that in an infinitely divisible world, it's possible to cut up a 3 dimensional ball into 5 pieces. Then rearrange them using rigid motion, i.e no strechting/scaling etc. so that you will get two balls each of whom are equal in volume of the original ball. Pity the real world isn't infinitely divisible.
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Anonymous2006-01-31 18:54
There are infinitely many paradoxes involving infinity.
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Anonymous2006-02-01 17:40
Theoretically it is infinitely divisible (mechanics works with real numbers and vector spaces/matrix groups over them, which are dense AND uncountable).
The problem is that there's no infinitely thin knife.
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Anonymous2006-02-01 18:31
THA KNIFE IS LIKE A BASEBALL BAT EXCEPT FORCE BYE AREA IS REALLY HIGH.