Is there any symbol for an arbitrary infinite set?

Question

As for instance, the following are usual symbols for particular infinite sets:

$\mathbb N$ : the natural numbers

$\mathbb Z$ : the integers,

$\mathbb Q$ : the rationals,

$\mathbb R$ : the real numbers,

$\mathbb C$ : the set of complex numbers.

Let us call $S$, an infinite set in general. Is there any known symbol to replace $S$? Probably, $\infty$ is not a good choice. Will it be appropriate to write $S_{\infty}$ to mean that $S$ is an infinite set?

Answer 1

There is no "usual" symbol. Just say "let $S$ be an infinite set".