Words / B2

THEERR-uh-m/ˈθɪərəm/

A theorem is a statement proved from accepted mathematical ideas: prove a theorem; a theorem in geometry. Theory is wider and not always proved. Formula is a rule in symbols, not a proof. Do not call an untested claim a theorem. Maths papers: state and prove the theorem.

Meaning

A statement in mathematics that has been proved from accepted ideas.

Examples

• “The exam asked for a proof of the theorem, not only the formula.”
• “The theorem assumes a right angle, which is why the diagram matters.”

Good to know

prove / state a theorem. Wider unproved ideas: theory. Symbols: formula. Maths register. Not a hunch or a slogan.

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