Definition:Distinct/Plural

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.

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

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

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.