Axioms

Noun

Definition: Statements or propositions considered to be self-evidently true.

Synonyms: Principles, Postulates, Truths

Antonyms: Conjectures, Hypotheses

Examples:

In mathematics, axioms are fundamental truths that serve as the foundation for logical reasoning.
The axioms of a philosophical system are the fundamental beliefs on which it is built.

Mnemonics:

"Axioms are like building blocks of knowledge."
"Axioms are the unquestioned truths that form the basis of a theory."

Etymology:

Origin:

Late Latin 'axioma', from Greek 'axios' (worthy, deserving)

Historical Usage:

The term 'axioms' has been in use since Ancient Greece, particularly in the field of mathematics and philosophy.

Related Idioms:

Idiom:

"Take something as an axiom"

Explanation:

To accept or assume something as an unquestioned truth or principle.

Misconceptions:

Misconception:

Confusing axioms with theorems or hypotheses.

Explanation:

Axioms are self-evidently true statements or principles, while theorems are statements derived from axioms through logical reasoning. Axioms are not proven, but assumed to be true for the sake of constructing a system or theory.