Etymologically
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theorem

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Pronunciation

  • UK: /ˈθiː.ə.ɹəm/[1]
  • US: /ˈθiərəm/, /ˈθɪrəm/[1]

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

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