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Paradox
A statement that appears beyond belief or outside normal expectations. (from the Greek para - alongside and doxa - belief). This was a favoured form of argument of Zeno of Elea, who used such arguments to confirm the metaphysical stance of his master, Parmenides, that "Being is.", a statement which can not be confirmed through any experience, only through reason. The methodology proves something is by proving that the alternative is impossible.
A PARADOX ON PLURALITY
If things are a many, they must be just as many as they are, and neither more nor less. Now if they are as many as they are, they will be finite in number. If things are a many, they will be infinite in number; for there will always be other things between them, and others again between these. And so things are infinite in number.
(Zeno quoted in Simplicius Commentary on the Physics 140 and Aristotle Physics 239)
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