I think any way of counting will have the same basic axioms (http://en.wikipedia.org/wiki/Peano_axioms http://en.wikipedia.org/wiki/Peano_axioms) Also See What

I think any way of counting will have the same basic axioms (http://en.wikipedia.org/wiki/Peano_axioms http://en.wikipedia.org/wiki/Peano_axioms) Also See What are numbers, and what is their meaning?: Dedekind http://www.math.uwaterloo.ca/~snburris/htdocs/scav/dedek/dedek.html http://www.math.uwaterloo.ca/~snburris/htdocs/scav/dedek/ded...