Paradox: Difference between revisions

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=== Zeno's paradoxes ===
=== Zeno's paradoxes ===


==== Dichotomy paradox ====
=== 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 ====
=== 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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==== Paradox of the grain of millet ====
=== 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?