# Definition:Distinct/Plural

< Definition:Distinct(Redirected from Definition:Distinct Elements)

## Definition

Two objects $x$ and $y$ are **distinct** if and only if $x \ne y$.

If $x$ and $y$ are **distinct**, then that means they can be **distinguished**, or **identified as being different from each other**.

## Pairwise Distinct

A set of objects is **pairwise distinct** if each pair of elements of that set is distinct.

## Also known as

**Distinct** means the same thing as **different**.

If $x$ and $y$ are **distinct** then:

- a
**distinction**can be made between $x$ and $y$ - $x$ is
**distinct from**$y$; $y$ is**distinct from**$x$; $x$ and $y$ are**distinct from each other**.