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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.

— Zeno of Elea

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More quotes by Zeno of Elea

The truth is, that these writings of mine were meant to protect the arguments of Parmenides against those who make fun of him and seek to show the many ridiculous and contradictory results which they suppose to follow from the affirmation of the one.

The hypothesis of the many, if examined sufficiently in detail, leads to even more ridiculous results than the hypothesis of the One.

That which is in locomotion must arrive at the half-way stage before it arrives at the goal.

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.

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Quote text and notes from Wikiquote: Zeno of Elea (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.