I have a rather lame question here. I need a clarification with the definition of "infinitely many". I have come across statements like:
There are infinitely many reals.
I know that reals are non-denumerable (uncountably infinite).
Again we have:
There are infinitely many integers.
I also know that integers are denumerable (countably infinite).
So my question is what do we actually infer from "infinitely many" about the countability or the uncountability?
Also kindly correct me if I am wrong somewhere.