# Arrow Paradox

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## Paradox

At any particular instant, a moving arrow is either at rest or in motion.

If the instant is indivisible, the arrow cannot move, because if it did, the instant would immediately be divided.

But time is made up of instants.

As the arrow cannot move in any one instant, it cannot move in time.

Hence the arrow remains at rest.

## Resolution

This is an example of how an incorrect model of reality (time is made up of instants) leads to incorrect predictions (movement is impossible).

## Historical Note

The Arrow Paradox is one of Zeno's Paradoxes, as famously raised by Zeno of Elea.

## Sources

- 1937: Eric Temple Bell:
*Men of Mathematics*... (previous) ... (next): Chapter $\text{II}$: Modern Minds in Ancient Bodies - 1989: Ephraim J. Borowski and Jonathan M. Borwein:
*Dictionary of Mathematics*... (previous) ... (next): Entry:**Zeno's paradoxes** - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**Zeno of Elea**(5th century bc)