theorem

Etymology

It is borrowed from Middle French theoreme, now théorème, and also directly borrowed from Late Latin theōrēma,^{[2][3][4][5][6]} from Ancient Greek θεώρημα (theṓrēma, “spectacle, speculation; proposition to be proved”),^[2][3][6][4] from θεωρέω (theōréō, “to look at, behold, consider”),^[2][3][6] from θεωρός (theōrós, “spectator”),^[2][6][7] with the noun suffix -μα (-ma).^[2][8] The Greek theōrós is from θέα (théa, “sight, view”).^[7] The word is related to theory and theater.^[3][7]

Earliest recorded meaning

A statement in logic or mathematics that has been proved, or that is put forward as provable: 1551, in Robert Recorde's Pathway to Knowledg.^[2][4][7]

Semantic evolution

In Greek the noun first meant a sight or spectacle, "that which is looked at", then a subject of contemplation; in Euclid it is a proposition to be proved.^[3][8][6] Latin took it over, first as a Greek word in Cicero in the sense "precept", and later as "subject for investigation" (Gellius); in medieval British Latin it was already a geometrical term from the 13th century.^[2] French had theoreme for a scientific proposition demonstrable but not self-evident from 1539.^[2] In English the general sense, a proposition forming part of a theory, followed in 1588.^[2] An American use for a stencil (1824) and for a picture painted with stencils (1973) comes from theorem painting.^[2] Carlyle used theorem as a verb, "to work out by deduction", in 1841; it lasted until about 1891.^[2]

Timeline

• 1551 – a proposition proved or provable in logic or mathematics.^[2][4]
• 1588 – in general use, a statement forming a theory or part of one.^[2]
• 1824 – US: a stencil used in painting or decoration.^[2]
• 1841 – verb, to work out by deduction (until 1891).^[2]
• 1973 – US: a design or painting made with stencils.^[2]

Modern meaning

Noun

1. (mathematics, logic) A statement that can be proved from the axioms of a system by its rules of inference: Every student had to prove the theorem on the board.
2. A rule or relation expressed as a formula or in symbols, as in the binomial theorem.
3. An idea accepted or put forward as a demonstrable truth, often as part of a general theory.
4. (US) A stencil used in decorative painting, or a picture made with stencils.

Word family

• theorematic
• theorematically

Related words

• theoretical
• theory
• theorize
• theater

References

1. ^ a b Wiktionary, the free dictionary, https://en.wiktionary.org
2. ^ a b c d e f g h i j k l m n o p Oxford English Dictionary Online (accessed March 2026), Oxford: Oxford University Press
3. ^ a b c d e Harper, Douglas. Online Etymology Dictionary, https://www.etymonline.com
4. ^ a b c d Barnhart, Robert K. (1988), The Barnhart Dictionary of Etymology
5. ^ Shorter Oxford English Dictionary on Historical Principles (2002), 5th ed., ed. William R. Trumble and Angus Stevenson, Oxford: Oxford University Press
6. ^ a b c d e Hoad, T. F., ed. (1986), The Concise Oxford Dictionary of English Etymology, Oxford: Clarendon Press
7. ^ a b c d Merriam-Webster Unabridged Dictionary (2024), online ed., Springfield, Mass.: Merriam-Webster
8. ^ a b Dictionary.com Unabridged (2016), based on the Random House Unabridged Dictionary, New York: Random House