# 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.