Because, a line doesn’t have any holes and a fraction just gives you a point, such that
no matter how close you are to another number there will always be gap.
Well, there is a gap in your answer, you speak about line, holes and points (domain of geometry, very well), but then you introduce numbers somehow. Also, I'd be more interested in relation between people, swearing and irrational numbers, not between irrational numbers and geometry. Unless you'll provide a mapping between geometry and people, that relates to irrational numbers.
> Why are there irrational numbers?
Because, a line doesn’t have any holes and a fraction just gives you a point, such that no matter how close you are to another number there will always be gap.
Well, there is a gap in your answer, you speak about line, holes and points (domain of geometry, very well), but then you introduce numbers somehow. Also, I'd be more interested in relation between people, swearing and irrational numbers, not between irrational numbers and geometry. Unless you'll provide a mapping between geometry and people, that relates to irrational numbers.