Is it mathematically possible to have an infinity that includes all real numbers and undefined numbers?

Question

I understand that the idea of absolute infinity includes all real numbers. What about absolute infinity + infinity*i? I also understand that there is no way of solving this since infinity is not fully understood and that infinity itself is not a real number. I know that the idea of it is possible just like the idea of a 4th spatial dimension is possible. If this can't be backed up by math, then would it just stay an idea forever? Or is there some other method of thinking that could solve something like this?

Sorry, I know I am rambling a lot. Just a high school student that loves math and the mysteries of it that I strive to one day uncover.

Thanks

Answer 1

Mathematical infinity (not spatial or spiritual) is often, and erroneously, used inplace of "without bound", that is, there is no end to something. Any number you can name I can name one larger - or smaller.