. 64

From a conversation with a mathematician: 

- We start with the void, a state where there are no numbers. The void precedes ZERO; from this state we can make a group called the totality of the void. This group contains ZERO members; thus the number ZERO is generated. Then there is the group of the group of the void. This group contains ONE group, thus the number ONE is generated. Then the group of the group of the group of the void. This group contains TWO groups, thus the number TWO is generated, etc. Number can thus be generated infinitely.  To generate numbers we are not already presupposing numbers since numbers are simply symbols of groups. It is the groups that are fundamental in this instance. 

- The problem is that their is nothing within the original void that says we can jump towards something called "the group of the totality of the void". A "group" is already a generalization not contained within the original proposition itself. Furthermore, this external element is at least as "big" as the original proposition. It doesn't work as a fundamental explanation of the rise of numbers.