“The whole is greater than its part.” Euclid

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The axiom behind many indirect proofs that end by showing 'a part equal to the whole, which is absurd.'

Citation: "The whole is greater than its part." — Euclid, Elements, Book I, Book I, Axiom ix, trans. John Casey. (id euclid-elements-book-i-q4)

Portrait: Euclidi Megaren (Euclide) - Studiolo di Federico da Montefeltro, Justus van Gent / Pedro Berruguete, Public domain.

Quote card: The whole is greater than its part.

Quotation from Elements, Book I by Euclid