1. There are curves that fill a plane without holes
2. Much as with people, there are irrational, perfect, complex numbers
3. As in philosophy, there are transcendental numbers
4. As in the art, there are imaginary and surreal numbers
5. A straight line has dimension 1, a plane - 2. Fractals have mostly fractional dimension
6. You are wrong if you think Mathematics is not fun
7. Mathematics studies neighborhoods, groups and free groups, rings, ideals, holes, poles and removable poles, trees, growth ...