A sentence that is a member of a theory is one of its theorems, and the theory is the set of its theorems. Usually a theory is understood to be closed under the relation of logical consequence.

Joseph Howlett, Quanta Magazine, 21 Nov. 2025 In fact, the Logic Theorist proved 38 of the first 52 theorems in a famous mathematical text, Alfred Whitehead and Bertrand Russell’s Principia …

Theorem, in mathematics and logic, a proposition or statement that is demonstrated. In geometry, a proposition is commonly considered as a problem (a construction to be effected) or a theorem (a …

The Top 100 Theorems

Dec 22, 2025 · The process of showing a theorem to be correct is called a proof. Although not absolutely standard, the Greeks distinguished between "problems" (roughly, the construction of various figures) …

Below we introduce the precise setup and present our main results in a series of theorems.

Illustrated definition of Theorem: A result that has been proved to be true (using operations and facts that were already known). Example:...

Theorems are statements about defined objects. A theorem uses defined terms and is derived from a sequence of logical arguments using definitions and other, previously proven theorems.

Feb 7, 2011 · With the use of the axiomatic method, the theorems in a theory under consideration are defined as statements deduced in a purely logical way from previously chosen and fixed statements …

List of theorems This is a list of notable theorems. Lists of theorems and similar statements include: List of algebras List of algorithms List of axioms List of conjectures List of data structures List of …