# Definition:Distinct

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## Definition

### Of Two or More Objects

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**.

### Of a Single Object

Let $x \in S$ be an element of a set of objects $S$.

Then:

- $x$ is
**distinguished**from the other elements of $S$

- $x$ is endowed with a property that the other elements of $S$ are specifically deemed not to possess.

Such an element is identified as being **distinct** from the others.

## Indistinguishable

Two objects are **indistinguishable** if they can not (in a particular context) be told apart from each other.

So, two objects may be **distinct** but (at a given level) **indistinguishable**, like identical twins.