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“Plato... introduces two infinities, because both in increase and diminution there appears to be transcendency, and a progression to infinity. Though... he did not use them: for neither is there infinity in numbers by diminution or division; since unity is a minimum: nor by increase; for he extends number as far as to the decad.”

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— Aristotle

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Live wording check · 2026-10-25

Plato... introduces two infinities, because both in increase and diminution there appears to be transcendency, and a progression to infinity. Though... he did not use them: for neither is there infinity in numbers by diminution or division; since unity is a minimum: nor by increase; for he extends number as far as to the decad. Citation: Book III, Ch. VIII, p. 167. Listed on https://en.wikiquote.org/wiki/Aristotle (CC BY-SA)
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Wikiquote: Aristotle
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Wikiquote (CC BY-SA) · Secondary source
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Aristotle. (n.d.). Wikiquote: Aristotle. https://en.wikiquote.org/wiki/Aristotle
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Aristotle (n.d.)
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(Aristotle, n.d.)

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Provenance: https://en.wikiquote.org/wiki/Aristotle