Hilbert's Hotel covers an entirely different concept...the countability of infinities in set theory. It has nothing to do with addition, which is what we were talking about here.
You can't add infinity to infinity since infinity is not a value but a concept. It would be like adding "the taste of jam" to "the taste of milk" and saying it equates something mathematical.
There are countably infinite sets, and non-countably infinite sets, but that doesn't mean that infinity is anything more than a concept.
You can't add infinity to infinity since infinity is not a value but a concept. It would be like adding "the taste of jam" to "the taste of milk" and saying it equates something mathematical.
There are countably infinite sets, and non-countably infinite sets, but that doesn't mean that infinity is anything more than a concept.