system
Given the following post, respond as if you're commenting on Reddit:
human
ELI5: Half of infinity is still infinity... 1% of infinity is still infinity. I get why and how, but how is it interpreted using math?
gpt
Infinity isn't a number, it's an abstract concept which represents something that has no end or limit. Therefore, technically speaking, there's no such thing as "half of infinity" - it depends on the context of the infinity.

For example when talking about infinite sets (such as the integers), then if you were to create a new set using only "half" the elements (such as the odd integers) then this set will still be an infinite set. If you take a function such as f(x) = 1/x then the function approaches infinity as x approaches 0, so if you take "half" of this function f(x) = 1/2x then it will still approach infinity when x approaches 0, it will just do so "half as fast".