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- The phrase quod erat demonstrandum is a translation into Latin from the Greek ὅπερ ἔδει δεῖξαι (hoper edei deixai; abbreviated as ΟΕΔ). The meaning of the Latin phrase is "that [thing] which was to be demonstrated" (with demonstrandum in the gerundive).
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When was QED used in philosophy?
When was QED first used?
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 quod erat demonstrandum is a translation into Latin from the Greek ὅπερ ἔδει δεῖξαι (hoper edei deixai; abbreviated as ΟΕΔ). The meaning of the Latin phrase is "that [thing] which was to be demonstrated" (with demonstrandum in the gerundive).
Etymology and early use. The phrase quod erat demonstrandum is a translation into Latin from the Greek Greek, Ancient (to 1453);: ὅπερ ἔδει δεῖξαι (Greek, Ancient (to 1453);: hoper edei deixai; abbreviated as ΟΕΔ). Translating from the Latin phrase into English yields "that was to be demonstrated".
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.
Nov 21, 2023 · In Quod erat demonstrandum the sense of necessity can be attributed completely to the gerundive. As in our case, often the gerundive is coupled with the verb esse (to be) - most famously in Censeo Carthaginem esse delendam ("I think Carthage must be destroyed").
"Q.E.D." is an abbreviation derived from the Latin phrase "quod erat demonstrandum," which translates to "which was to be demonstrated" in English. It is used at the end of a proof or argument to signify that the desired outcome or conclusion has been successfully demonstrated or proven.
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.
