Quote:
Originally Posted by snarkophilus
In Zeno, the paradox arose because of the assumption that it would take a finite amount of time to move an infinitesimal distance.
|
More precisely, it arose from Greek mathematicians' mistaken belief that an infinite number of ever-smaller numbers could never add up to a finite number. Which is simply not true -- the series 1/2 + 1/3 + 1/4 + 1/5 + ... adds up to infinity, but the series 1/2 + 1/4 + 1/8 + 1/16 + ... adds up to a finite number, 1 to be exact. Once you accept that fact, all of Zeno's Paradoxes disappear.