# 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.