Synonyms in Detail: theorem and principle Usage & Differences

What context can I use each word in?

Learn when and how to use these words with these examples!

theorem

Example

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. [theorem: noun]

Example

If a equals b and b equals c, then a equals c is a basic theorem of mathematics. [theorem: noun]

principle

Example

The principle of supply and demand is a fundamental concept in economics. [principle: noun]

Example

The scientific principle of conservation of energy states that energy cannot be created or destroyed, only transformed from one form to another. [principle: noun]

Good things to know

Which word is more common?

Principle is more commonly used than theorem in everyday language due to its wider range of applications and broader scope.

What’s the difference in the tone of formality between theorem and principle?

Theorem is typically associated with a more technical and formal tone due to its usage in mathematics and logic, while principle can be used in both formal and informal contexts.

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