No, infinity is a different concept to all of those quite distinct concepts. There are also clear and observable uses for all of those things that make them har

No, infinity is a different concept to all of those quite distinct concepts. There are also clear and observable uses for all of those things that make them hard to replace, whereas infinity is unique in that if you drop it as an axiom then everything still works and your mathematical system becomes more rigorous. Also I clearly just demonstrated that you can count negative numbers easily so I don't understand why you find it impossible.