If $f(x)=px $ then $ff(x)=p^{2}x$ ,$fff(x)=p^{3}x $ and so on. The n-1 composition raises p to the power n. If 0 exists, then we can obtain 1. From 1, we can obtain 2 and so on.Can we define natural numbers as the exponent of p in $f(x)=px$.
Can we construct natural numbers ( without zero ) like this ?