The mysterious beauty, harmony, and consistency of mathematics once caused philosopher Hilary Putnam to term its existence a miracle. Now, advances in the under... » 

The mysterious beauty, harmony, and consistency of mathematics once caused philosopher Hilary Putnam to term its existence a miracle. Now, advances in the understanding of physics suggest that the foundations of mathematics are encompassed by the laws of nature, an idea that sheds new light on both mathematics and physics. «