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Whereas the first two paradoxes presented divide space into segments, this paradox divides time into points. |
Whereas the first two paradoxes presented divide space into segments, this paradox divides time into points. |
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Revision as of 00:30, 20 September 2007
The arrow paradox
"You cannot even move."
If everything when it occupies an equal space is at rest, and if that which is in locomotion is always occupying such a space at any moment, the flying arrow is therefore motionless.Aristotle|Physics VI:9, 239b5
In the arrow paradox, Zeno asks us to imagine an arrow in flight. He then asks us to divide up time into a series of indivisible nows or moments. At any given moment if we look at the arrow it has an exact location so it is not moving. Yet movement has to happen in the present; it can't be that there's no movement in the present yet movement in the past or future. So throughout all time, the arrow is at rest. Thus motion can not happen.
This paradox is also known as the fletcher's paradox—a fletcher being a maker of arrows.
Whereas the first two paradoxes presented divide space into segments, this paradox divides time into points.
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