$0$

Example · Elementary

Terms

Term	This example	Why
natural numbers (from 0)	✓	$0$ is a natural number when the natural numbers start at $0$.
whole numbers	✓	$0$ is a whole number.
zero	✓
natural numbers (from 1)	✗	$0$ is a natural number when the natural numbers start at $0$, but not when they start at $1$. It is the only number on which the two conventions disagree.
empty set	✗
zero vector	✗	The number $0$ is not a zero vector, because it is a number, not a vector.

Distinctions using this example

• Natural numbers: starting at 0 or at 1
• Whole numbers vs. natural numbers

All examples · All distinctions · All definitions