A ‘Point’ is a beginning unit of measure. It is the place where we decided to stop and mark the location with a name [‘Here Ye! Henceforth this shall be called a ‘Point’].
A Line is defined as a ‘Series of Points’ [what Euclid called a ‘breadth-less length’].
We are not sure what a ‘Point’ is; it is formally undefined. But a ‘Line’ is something your little girl understands. No limit of abstraction business here. And away we go with crayon and color.
Crayon and color that make up ‘Self’ and ‘World’.