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=== Zeno's paradoxes === | === Zeno's paradoxes === | ||
=== Dichotomy paradox === | |||
* if you keep walking half-way to somewhere, you will never get there | * if you keep walking half-way to somewhere, you will never get there | ||
=== Achilles and the tortoise paradox === | |||
* "In a race, the quickest runner can never overtake the slowest, since the pursuer must first reach the point whence the pursued started, so that the slower must always hold a lead. | * "In a race, the quickest runner can never overtake the slowest, since the pursuer must first reach the point whence the pursued started, so that the slower must always hold a lead. | ||
** as recounted by Aristotle, Physics VI:9, 239b15 | ** as recounted by Aristotle, Physics VI:9, 239b15 | ||
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</div> | </div> | ||
=== Paradox of the grain of millet === | |||
* if a single grain of millet (a seed) makes no sound upon falling, yet 1,000 grains that fall do make a sound, how can 1,000 nothings create a sound? | * if a single grain of millet (a seed) makes no sound upon falling, yet 1,000 grains that fall do make a sound, how can 1,000 nothings create a sound? | ||