Infinite is infinite, right? And it cannot be a smaller infinite than another because these notions conflict, right? Yes and no. Let’s take the integer numbers (-2, -1, 0, 1, 2) and go to negative infinite and positive infinite.

Sounds good, but if you count the fractions, the numbers like 2.3, 4.7 and so on you get an infinite number of numbers between 0 and 1. So, the infinite number of fractions is bigger than the infinite numbers of integers. Can two infinite sets be compared? Not really. Math has still some gaps it cannot fill.

How do we live with these infinities? We don’t. We simply take care of our small finite space filled with infinities.