But when I picture a point, I can see it and since it has a visible area, then what's in it? That's my problem. I could picture it as nothing maybe? But then what's in the blank space? It has a volume...
Probably because we learn about points by drawing them on a graph at some point in math class, so we imagine them having an area. I think points are an abstract construct. Sort of like infinity - you can never truly reach it. Or imagine it.