The entrance to Plato’s Academy was, somewhat famously, marked by a sign reading “Let no one ignorant of geometry enter here.” What’s so special about the study of geometry, that makes a student ready to approach philosophy?

The entrance to Plato’s Academy was, somewhat famously, marked by a sign reading “Let no one ignorant of geometry enter here.” What’s so special about the study of geometry, that makes a student ready to approach philosophy?