As I write this, I’m in the midst of graduate school applications. Amid the flurry of GREs, application fees, and personal statement revisions, it’s suddenly become all too real that next fall I could...

The instinct and intuition of mathematics  There were some people on a train. Nineteen people get off the train at the first stop. Seventeen people get on the train. Now there are 63 people on the train. How...