I was thinking about points and the dynamics involved with them.
Think about 2 points. Practically, you could never get them to meet, because that would require infinite precision. also theoretically, if you did have the precision, they would never actually touch since they have no volume. There is nothing in a point- its only a marker of somewhere between here and there. Two points could reasonably occupy the same location without actually touching (theres nothing in them that could touch one another.
What about a theoretically pore-less flat surface? Would a point traveling towards it hit the surface and stop? Or would it simply pass through it, as there is nothing in the point to hit anything?
I think its cool to think about mathematical constructs like this. Points may have no meaning in reality. From what ive been told as far as ppl know space itself is not quantized or "pixelated". A particle moving from a to be will cross an infinite number of points. Another example of a mathematical construct would be something like the circle. They may be approximations of things in reality but actual circles might be non existent in the universe- a cause for pi's irrationality.