All fractals are fractions through the number line; therefore necessitating numbers as spatial axioms.
Spatial axioms are self evident, but exist through infinite multiplicity; hence accounting for all possibility.
1. A fraction is the number of time one number fits inside of another.
2. A fractal is a repetitive form of progressive symmetry changing in size.
3. All numbers exist through a number line, because of their progressive nature. 1 exists because it is directed to 2 as 1 directed towards 1. The same applies for 3, as 1 directed towards 1 as 1=2, further directed towards 1 as 3.
4. 1 is a progressive linear direction.
5. As a line, 1 is composed of fractals/fractions. The line folded in half results in 1/2 and a fractal. The same applies for 1/3, etc.
6. The number as a line equates all fractions and fractals as the same.
7. As a line of infinite numbers, is 1 in itself, 1 is equivalent to infinity.
8. Each number, as a line on the number line, in turn is composed of infinite fractions/factals.
9. All numbers are multiple infinities.
10. All multiple infinities exist as one number in themselves.
11. All numbers are directed localized movement axioms through linear space.