A Math Lesson

My math teacher once ask my class what is the smallest base for a number system? A student that got good grades responded with 2 for the binary system. I suggested 1 for a unitary system. The teacher didn't agree with my answer. How short sighted of her! A unitary number system would of course only ever count to one if you added one you would still have one. What's wrong with that? If you're a bean counter that would be a major failure of the number system. If possessions didn't matter to you, it would be a perfect number system, because "what is, is".