Axiom

Noun

Definition: A self-evident or universally recognized truth or principle; often used to describe a statement or idea that is accepted without question or proof.

Synonyms: Truth, Principle, Maxim

Antonyms: Falsehood, Fallacy

Examples:

"It is an axiom of mathematics that 1 + 1 equals 2."
"The belief in inherent human rights is often treated as an axiom."

Mnemonics:

"Axiom" sounds like "axe 'em," which represents cutting through doubts or questioning to arrive at a self-evident truth.

Etymology:

Origin:

Late Middle English via Old French from Greek 'axios' meaning 'worthy.'

Historical Usage:

The term "axiom" has been used in mathematics, philosophy, and logic for centuries to describe fundamental principles that are considered unquestionably true.

Related Idioms:

Idiom:

"Accept without question"

Explanation:

This phrase captures the essence of the axiom, which is a statement or principle that is universally recognized and accepted without the need for further investigation or proof.

Misconceptions:

Misconception:

Confusing "axiom" with "theorem" or "postulate."

Explanation:

While all these terms are used in mathematics and logic, they have distinct meanings. An axiom refers to a self-evident truth or principle that is accepted without question, whereas a theorem is a proposition or statement that is proven from axioms and previous theorems. A postulate, on the other hand, is a statement that is assumed to be true without proof in order to build a logical framework.