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/ˈθiːərəm/
Meaning & Definition
noun
A proposition that has been or is to be proved on the basis of explicit assumptions and previously established statements, such as other theorems.
According to the Pythagorean theorem, in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
A general principle or law that has been established by reasoning or mathematical proof.
Cantor's theorem demonstrates that there are different sizes of infinity.
An idea or principle believed to be true but not yet proven.
The scientist proposed a new theorem regarding the behavior of subatomic particles.
In mathematics, a formal statement, often formulated as a mathematical equation, that can be derived from an axiomatic system.
The fundamental theorem of calculus links the concept of differentiation and integration.
Etymology
From Greek 'theorein' meaning 'to view, to contemplate'.
Common Phrases and Expressions
fundamental theorem
A theorem that is central to a particular field of study.
theorem of calculus
A key theorem in calculus that ties together the concepts of differentiation and integration.
Related Words
proof
A logical argument demonstrating the truth of a theorem.
axiom
A statement or proposition that is regarded as being self-evidently true.
lemma
A subsidiary or intermediate theorem in an argument or proof.
Slang Meanings
A clever or smart solution to a problem.
That idea is a real theorem for getting out of this mess!
A joke or humorous take on a complex idea.
I came up with a hilarious theorem about why cats always land on their feet.