theorem[t̸hē′ə rəm, t̸hir′əm]
- The definition of a theorem is an idea that can be proven or shown as true.
An example of a theorem is the idea that mixing yellow and red make orange.
- a proposition that is not self-evident but that can be proved from accepted premises and so is established as a law or principle
- an expression of relations in an equation or formula
- Math., Physics a proposition embodying something to be proved
Origin of theorem; from French or L: French théorème ; from Classical Latin theorema ; from Classical Greek theōrēma ; from theōrein, to look at, view ; from theoros, spectator: for Indo-European base see theater
- An idea that has been demonstrated as true or is assumed to be so demonstrable.
- Mathematics A proposition that has been or is to be proved on the basis of explicit assumptions.
Origin of theoremLate Latin theōrēma, from Greek, from theōrein, to look at, from theōros, spectator; see theory.
- (mathematics) A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas
- (mathematics, colloquial, nonstandard) A mathematical statement that is expected to be true; as, Fermat's Last Theorem (as which it was known long before it was proved in the 1990s.)
- (logic) a syntactically correct expression that is deducible from the given axioms of a deductive system
(third-person singular simple present theorems, present participle theoreming, simple past and past participle theoremed)
- to formulate into a theorem
Via Late Latin theōrēma, from Ancient Greek θεώρημα (theōrēma, “speculation, proposition to be proved”) (Euclid), from θεωρέω (theōreō, “I look at, view, consider, examine”), from θεωρός (theōros, “spectator”), from θέα (thea, “a view”) + ὁράω (oraō, “I see, look”). See also theory, and theater.