Sunday, January 19, 2025

What's the Difference Between a Theory and a Theorem?

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Contrary to the popular use of the word in everyday language, a theory in science is something that models observed behaviour and is true, but not absolutely so. E.g. The theories of special and general relativity. So a theory isn't a postulation or idea which may or may not be true. E.g. that there is water under the surface of some planet. Theories can be updated to more accurately describe something. So for instance the laws of motion don't work at velocities near the speed of light, so the special theory of relativity caters for that scenario. Theorems unlike theories however can be absolutely proved using axioms. E.g. the triangle sum theorem which states that all the angles in a triangle add up to 180 degrees.