I prefer to think of natural numbers as a 1D vector. Negative numbers are therefore just a function of the direction of the vector. I don't have a good explana

I prefer to think of natural numbers as a 1D vector. Negative numbers are therefore just a function of the direction of the vector. I don't have a good explanation of what zero is in this context... Would someone else have a way to explain it (i.e maybe related to the nullspace?).