Everyone knows that arithmetic is true: 2 + 2 = 4. But surprisingly, we don’t know why it’s true.
By stepping outside the box of our usual way of thinking about numbers, my colleagues and I have recently shown that arithmetic has biological roots and is a natural consequence of how perception of the world around us is organized.
Our results explain why arithmetic is true and suggest that mathematics is a realization in symbols of the fundamental nature and creativity of the mind.
Randolph Grace.
Moving Space 