> More observing that advanced mathematics seems only tangentially related to reality. You might be surprised; there have proven to be a number of surprising c

> More observing that advanced mathematics seems only tangentially related to reality. You might be surprised; there have proven to be a number of surprising connections between abstract mathematical structures and more concrete sciences. For instance, group theory - long thought to be an highly abstract area of mathematics with no practical application - turned out to have some very direct applications in chemistry, particularly in spectroscopy.