I think you’re correct. It is more accurate to say that the counting numbers strongly resemble the natural numbers, than it is to say that every element of every model of axioms 1-4 resembles a natural number.
Note that one can create “weird” models of axioms 1-5 as well.
I think you’re correct. It is more accurate to say that the counting numbers strongly resemble the natural numbers, than it is to say that every element of every model of axioms 1-4 resembles a natural number.
Note that one can create “weird” models of axioms 1-5 as well.