Definition:Enumeration/Also defined as

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Enumeration: Also defined as

Some sources define an enumeration as starting from $0$ rather than $1$.

Hence for a finite enumeration, one would write:

Let $X = \set {x_0, x_1, \ldots, x_{n - 1} }$

and for an infinite enumeration:

Let $X = \set {x_0, x_1, x_2, \ldots}$

It is unimportant which convention is used.