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.

The Top 100 Theorems

Dec 3, 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 …

Dec 4, 2016 · 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 …

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 …

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

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

Learn about and see examples of theorems and how they have played a role in the history of thought, especially in regard to the sciences in modern times.

A proven mathematical statement or result of significant impact is called a theorem, usually derived from other mathematical axioms and theorems.

In layperson's terms, theorems are claims that can be proven using previous information given to us. Let's take a look at a simple theorem which is often cited in textbooks on logic.