quod erat demonstrandum – Wiktionary (2024)

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What is the literal meaning of quod erat demonstrandum? ›

or QED is an initialism of the Latin phrase quod erat demonstrandum, meaning "that which was to be demonstrated". Literally it states "what was to be shown".

The Latin quod erat demonstrandum literally means “what was to be demonstrated.” It is actually a transliteration of a phrase ancient Greek mathematicians placed at the end of logical proofs—a kind of stamp that says “I proved what I set out to. Usage for the abbreviation Q.E.D. is found from the 17th century.

Latin abbreviation for quod erat demonstrandum: "Which was to be demonstrated." Q.E.D. may appear at the conclusion of a text to signify that the author's overall argument has just been proven.

abbreviation. Britannica Dictionary definition of QED. — used to say that something (such as a particular fact or a logical statement) proves what you were trying to prove. ◊ QED is an abbreviation of the Latin phrase “quod erat demonstrandum,” /ˌkwɑːdˈeɚˌɑːtˌdɛmənˈstrændəm/ which means “which was to be demonstrated.”

“erat” means “he/she/it was”. For example “Caesar erat imperator” would mean “Caesar was a general.

In mathematics, the tombstone, halmos, end-of-proof, or Q.E.D. symbol "∎" (or "□") is a symbol used to denote the end of a proof, in place of the traditional abbreviation "Q.E.D." for the Latin phrase "quod erat demonstrandum".

From a modern perspective, we say that QED is not well defined as a quantum field theory to arbitrarily high energy. The coupling constant runs to infinity at finite energy, signalling a Landau pole. The problem is essentially that QED appears to suffer from quantum triviality issues.

In 1665 Benedictus de Spinoza (1632-1677) wrote a treatise on ethics, Ethica More Geometrico Demonstrata, in which he proved various moral propositions in a geometric manner. He wrote the abbreviation Q. E. D., as a seal upon his proof of each ethical proposition.

"Q.E.F.," sometimes written "QEF," is an abbreviation for the Latin phrase "quod erat faciendum" ("that which was to be done"). It is a translation of the Greek words used by Euclid to indicate the end of the justification of a construction, while "Q.E.D." was the corresponding end of proof of a theorem (cf.

"Q.E.D." (sometimes written "QED") is an abbreviation for the Latin phrase "quod erat demonstrandum" ("that which was to be demonstrated"), a notation which is often placed at the end of a mathematical proof to indicate its completion.

What is QED in Greek? ›

The symbol ◻ will denote the end of a proof; it may be read as "Q.E.D." abbreviating the Latin quod erat demonstrandum, which translates the Greek of Euclid of Alexandria "ὅπερ ἔδει δεῖξαι".

Philosophers. Locke. Q.E.D. (quod erat demonstrandum) Latin for "what was to be proven." Hence, a common way of identifying the conclusion of a mathematical or logical argument.

While in Davy Jones's Locker, Jack Sparrow tries to logically prove that Will can't be real, finishing with "Q.E.D., you're not really here!" QED is a Latin acronym for "Quod Erat Demonstrandum", literally meaning "what was to be shown".

Quod erat demonstrandum is Latin for "which was to be demonstrated." Often abbreviated as Q.E.D., the statement may appear at the conclusion of a text to signify that the author's overall argument has just been proven.

Q.E.D. is an acronym or initialism of the Latin phrase quod erat demonstrandum, which means "what was to be demonstrated". In other words, Q.E.D. means "something was to be proven, and now it has been done".

"Q.E.D." (sometimes written "QED") is an abbreviation for the Latin phrase "quod erat demonstrandum" ("that which was to be demonstrated"), a notation which is often placed at the end of a mathematical proof to indicate its completion.

This was quite surprising, since QED enabled many subtle effects to be calculated with unprecedented precision. He saw himself as a craftsman rather than a deep thinker, who just happened to be at the right place at the right time with QED.

Example Sentences

Their death is merely the quod erat demonstrandum of a mathematical and mechanical proposition.