‘Point- It seems to be more than an axiom!’ A different perspective!

Hi guys, let's come to the point! :)

In mathematics, a point is defined as a dimensionless entity. In Euclidian geometry its an axiom, if we include the perspective of set theory, its a subset of space. I always wanted to understand why it was like this. In fact, while thinking about a different topic I think I understood why it is so!