Definition and application of positive infinity and negative infinity using a finite set

Traditionally, the axiomatic system is constructed without treating positive infinity and negative infinity as numbers. However, in real life, many people consider numbers larger than a certain size to be positive infinity and do not consider the existence of numbers larger than that. Therefore, we considered giving positive infinity and negative infinity a concrete value, and discussed what kind of phenomenon would occur by giving them a concrete value. As a result, we clarified one way of thinking about the continuum hypothesis and another way of looking at n-dimensional space.