Definition:Distinct
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Definition
Of two or more objects
The same thing as different.
$x$ and $y$ are distinct iff $x \ne y$
If $x$ and $y$ are distinct, then that means they can be distinguished, or identified as being different from each other.
Or we can say that a distinction can be made between $x$ and $y$.
Of a single object
An element of a particular set of objects is deemed to be distinct if is endowed with a property that the other elements do not possess.
Indistinguishable
Two objects are indistinguishable if they can not (in a particular context) be told apart from each other.
Usually used in the context of physics, in the definition of homogeneity.
So, two objects may be distinct but (at a given level) indistinguishable, like identical twins.
Pairwise Distinct
A set of objects is pairwise distinct if each pair of elements of that set is distinct.
