\begin{definition}[Definition:Ordered Tuple as Ordered Set/Ordered Triple]
The '''ordered triple''' $\tuple {a, b, c}$ of elements $a$, $b$ and $c$ can be defined either as the ordered pair:
:$\tuple {a, \tuple {b, c} }$
or as the ordered pair:
:$\tuple {\tuple {a, b}, c}$
where $\tuple {a, b}$ and $\tuple {b, c}$ are themselves ordered pairs.
Whichever definition is chosen does not matter much, as long as it is understood which is used. And even then, the importance is limited.
\end{definition}