I think the order of which we primitively arrive to arithmetic operations is subtraction then addition then division as repeated subtraction or addition, and then multiplication as reciprocal division.

You cannot substitute subtraction with addition.

To even claim the existence of negative numbers is to use a subtraction operator somewhere before you add it.

Division can have the resultant effect of multiplication as reciprocal dividend, just as a single cell divides itself multiplies itself by two cell units.

In other words, just another reason I don't like Set Theory crap