Learn English – Difference between “theorem” and “theory”


What is the difference between a theorem and a theory? The two words seem to be used to describe very similar things, but yet do not seem to be interchangeable.

For example, we have Pythagoras' theorem and Einstein's theory of relativity.

Best Answer

A theorem is a result that can be proven to be true from a set of axioms. The term is used especially in mathematics where the axioms are those of mathematical logic and the systems in question.

A theory is a set of ideas used to explain why something is true, or a set of rules on which a subject is based on.