A triangle has 3 sides, a sphere has one center, a hyperbola has two foci , geometrical object needs numbers to be well defined or can they be used to illustrate, if not define the numbers?
So which is more natural? Shapes which we see in nature or the natural numbers, which we need to define them in full?
How could #peano just assume that 0 is a natural number ? What is a shape with zero sides? Is infinity a natural number too?
What tells N from R?
they have
- different cardinality
=> no 1:1 correspondence #cantor
N w/o 0 has a bijection with N w/ 0 .