On findings

Imagine 2 parallel lines.
___________
___________
How does one define parallelism?
Intuitively, one will say "2 lines with the same orientation/angle", but that forces to define what an angle is. It is very hard to guess a cleaner demonstration, yet the best, clean, and simplest way is "2 lines that never cross.
That statement is hard to guess because the mind focuses on visible portions of the lines, and uses a pre-defined concept (the angle) as an immediate aid.
The point is to force the mind to think of the plane and the lines as being infinite. Then to think of an infinite number of lines, and to discover that given 2 lines, the likelyhood they will cross at some point is much higher than the opposite. In fact, for any given set of 2 different points, there is an infinitely higher number of sets of 2 lines that cross at some point than sets of 2 lines that never cross. Hence parallelism in that way should be considered an exception (even an aberration).
To be thought: every demonstration and their mental difficulties.