# theorem

## theorem

[thee-er-uhm, theer-uhm]
noun
1.
Mathematics. a theoretical proposition, statement, or formula embodying something to be proved from other propositions or formulas.
2.
a rule or law, especially one expressed by an equation or formula.
3.
Logic. a proposition that can be deduced from the premises or assumptions of a system.
4.
an idea, belief, method, or statement generally accepted as true or worthwhile without proof.

Origin:
1545–55; < Late Latin theōrēma < Greek theṓrēma spectacle, hence, subject for contemplation, thesis (to be proved), equivalent to theōrē-, variant stem of theōreîn to view + -ma noun suffix

theorematic [thee-er-uh-mat-ik, theer-uh-] , adjective
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World English Dictionary
 theorem (ˈθɪərəm) —n maths, logic a statement or formula that can be deduced from the axioms of a formal system by means of its rules of inference [C16: from Late Latin theōrēma, from Greek: something to be viewed, from theōrein to view] theorematic —adj theoremic —adj theore'matically —adv

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Etymonline
Word Origin & History

theorem
1551, from M.Fr. théorème, from L.L. theorema, from Gk. theorema "spectacle, speculation," in Euclid "proposition to be proved," from theorein "to consider" (see theory).
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Medical Dictionary

theorem the·o·rem (thē'ər-əm, thēr'əm)
n.

1. An idea that is demonstrably true or is assumed to be so.

2. A mathematical proposition that has been or is to be proved on the basis of explicit assumptions.

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American Heritage
Science Dictionary
 theorem   (thē'ər-əm, thîr'əm)  Pronunciation Key  A mathematical statement whose truth can be proved on the basis of a given set of axioms or assumptions.
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American Heritage
Cultural Dictionary
theorem [(thee-uh-ruhm, theer-uhm)]

A statement in mathematics that is not a basic assumption, such as an axiom, but is deduced (see deduction) from basic assumptions.

The American Heritage® New Dictionary of Cultural Literacy, Third Edition
Copyright © 2005 by Houghton Mifflin Company.
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Example sentences
As for the last sentence, a statement for which there is no known proof is not
a theorem or even a proto-theorem.
According to her famous theorem, every symmetry is equivalent to a conservation
law.
At times, one feels presented with an overwhelming theorem.
The four-color theorem in math is a particularly egregious case.
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