ℝ is, of course, the set of real numbers. It is uncountably infinite, but is far, far too small to be “everything”, certainly in a mathematical sense (though it is always going to be far larger than any merely countable number such as the number of points in space-time that could ever possibly exist).

It’s also notably infinitely larger than the set of all integers, which is also uncountably infinite. And yet, there are things that are infinitely bigger than some of the sets of things that are infinitely bigger than the set of all real numbers… and these still don’t contain everything.

Then there’s other sets that are amazingly small and yet do contain everything. For example, the set of all the words that I know, which is probably uncountably finite. Or the set of all of the words that I’ve used in this comment, which is certainly countably finite.

A late addenda: the PERSON OF INTEREST Season 5 episode “SNAFU” included as one of the premise concepts the mathemetical symbol ℝ meaning–EVERYTHING.

ℝ is, of course, the set of real numbers. It is uncountably infinite, but is far, far too small to be “everything”, certainly in a mathematical sense (though it is always going to be far larger than any merely countable number such as the number of points in space-time that could ever possibly exist).

It’s also notably infinitely larger than the set of all integers, which is also uncountably infinite. And yet, there are things that are infinitely bigger than some of the sets of things that are infinitely bigger than the set of all real numbers… and these still don’t contain everything.

Then there’s other sets that are amazingly small and yet do contain everything. For example, the set of all the words that I know, which is probably uncountably finite. Or the set of all of the words that I’ve used in this comment, which is certainly countably finite.