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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 $S$ 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.
- 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): distinct