# Definition:Distinct/Plural

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

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## 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 $S$ of objects is **pairwise distinct** if and only if:

## Also defined as

Some sources restrict the scope of this definition to mean **not numerically equal**.

## 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**.

## Also see

## Also see

- 1975: T.S. Blyth:
*Set Theory and Abstract Algebra*... (previous) ... (next): $\S 1$. Sets; inclusion; intersection; union; complementation; number systems - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**distinct**