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Ancient Greek mathematics and philosophy
- The phrase originates from ancient Greek mathematics and philosophy, where demonstrating conclusions through rigorous proof was essential.
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It was invented by Aristotle (384–322 B.C.) in Athens, and recorded in a group of writings known as the Organon. In one of these works, the Prior Analytics, Aristotle attempted to provide a complete analysis of the valid forms of reasoning.
The phrase originates from ancient Greek mathematics and philosophy, where demonstrating conclusions through rigorous proof was essential. In modern usage, Q.E.D. is still seen in academic writing, especially in mathematics, to affirm the validity of a proof.
The earliest known use of the phrase quod erat demonstrandum is in the early 1600s. OED's earliest evidence for quod erat demonstrandum is from 1614, in the writing of William Bedwell, Arabist and mathematician.
quod erat demonstrandum used to convey that a fact or situation demonstrates the truth of one's theory or claim, especially to mark the conclusion of a formal proof; the Latin phrase, meaning literally ‘which was to be demonstrated’, is a translation of the Greek phrase used in a number of Euclid 's propositions.
