Guide To Archery

Arrow Target

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What is the solution to Zenon's arrow paradox?

Imagine an arrow being shot from a bow. In order to reach the target, the arrow must get midway though the distance it's being shot. But to get there, it has to reach half of that distance, and so on to an infinity of intermediary destinations. In conclusion, the arrow can never reach its final destination, or even leave the bow, for that matter.

This line of reasoning starts with apparently true hypotheses and reaches a false conclusion, by using a hidden "hole" in the logic.
What is that hole? What false assumption or deduction did Zenon make in order to reach the (obviously) false conclusion?

The conclusion that the arrow will never reach is the target is the false conclusion. What one is really calculating is the limit of all the calculations 1/2 ( the distance) + 1/4 + 1/8 .. etc.
An arrow and a moving animal confuses the issue because as the arrow moves ahead so does the rabbit or whichever animal.
Nevertheless if you do all the calculations or use calculus then you will come to a limit. if you take it down to a dot of time is a dot of distance for both the arrow and the rabbit and do the calculations what you have is how long the arrow took to hit.. not .. the arrow won't hit.

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« Previous12Next »

What is the solution to Zenon's arrow paradox?

Imagine an arrow being shot from a bow. In order to reach the target, the arrow must get midway though the distance it's being shot. But to get there, it has to reach half of that distance, and so on to an infinity of intermediary destinations. In conclusion, the arrow can never reach its final destination, or even leave the bow, for that matter.

This line of reasoning starts with apparently true hypotheses and reaches a false conclusion, by using a hidden "hole" in the logic.
What is that hole? What false assumption or deduction did Zenon make in order to reach the (obviously) false conclusion?

The conclusion that the arrow will never reach is the target is the false conclusion. What one is really calculating is the limit of all the calculations 1/2 ( the distance) + 1/4 + 1/8 .. etc.
An arrow and a moving animal confuses the issue because as the arrow moves ahead so does the rabbit or whichever animal.
Nevertheless if you do all the calculations or use calculus then you will come to a limit. if you take it down to a dot of time is a dot of distance for both the arrow and the rabbit and do the calculations what you have is how long the arrow took to hit.. not .. the arrow won't hit.

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