Point in Mathematics

There is a marked difference between a physical point and a abstract point. Physically there are no points, only approximation exist. Wittgenstein in Tractatus, said certain things can only be shown and cannot be said by language. In language when you refer a physical point, a whole lot is said about the logical point. Unlike the abstract point it may have a size,a color, it will show what lies outside the point, in the logical space true and false propositions that can be assumed etc. But abstract point is just a point nothing more and nothing less. It is just a concept. It do not being to the physical world.
The same goes to all geometrical shapes consisting of multiple points.
This can be said to all abstract geometrical shapes. These can be comprehended by pour brains only by approximation. Therefore it should apply to the languages that brain uses to think about these shapes.
Maths is the tool brain uses to comprehend approximations of these abstract shapes. Engineering uses applied maths to do all sorts of things with these shapes.