"infinity" refers to,

several distinct concepts (usually linked to the idea of
"without end") which arise in philosophy, mathematics,
and theology.

In mathematics, "infinity" is often used in contexts where
it is treated as if it were a number (i.e., it counts or measures
things: "an infinite number of terms") but it is a different
type of "number" from the real numbers.
- wikipedia

now given that infinity is not a real number, as is 2, 6.8, pi,
it seems reasonable, if not understandable, that there is
no single infinity -

but rather, there are multiple infinities, with some larger
than others -

a hierarchy of infinites, as proposed in the video below



the soundtrack of the above is an excerpt from a BBC Radio 4
5 Numbers podcast

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