Zeno of Elea: Fragments & Testimonia

Physica

De Xenophane, de Zenone, de Gorgia

De lineis insecabilibus

Adversus Mathematicos

Zeno's Paradoxes are a set of arguments by Zeno of Elea (c. 490–430 BCE), crafted to defend his teacher Parmenides' doctrine that reality is a single, motionless One. By showing that motion and plurality lead to absurd contradictions — Achilles never catching the tortoise, the arrow at rest at every instant, the impossibility of completing infinitely many steps — Zeno argued that the changing, multiple world of the senses must be an illusion. Aristotle preserved and rebutted the paradoxes, and they remained a goad to thinking about infinity, continuity, and limits, finding a mathematical resolution only with the modern calculus of infinite series.

Arguments by Zeno of Elea defending Parmenides' One: by showing that motion and plurality lead to contradiction (Achilles never catches the tortoise; the flying arrow is at rest at every instant), they conclude that change and multiplicity cannot be real.

Zeno's Paradoxes

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