# What is an Axiom in Math? Definition and Examples

What is an axiom in math? An axiom or postulate is an accepted statement that requires no proof. In fact the word axiom comes from the Greek word ἀξίωμα that can have the following meanings:

- that which is thought fit or worthy

- that which is considered self-evident

- that which a pupil is required to know beforehand

## Examples of axioms or accepted statements that require no proof

**1.** If two lines intersect, then they intersect in exactly one point

**2.** Two points are always located on the same line

**3.** Humans cannot hold their breath for more than half an hour.

## Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

- Click on the HTML link code below.
- Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.