- “I went back to all the advice I’ve been given about talking to a big group, and they said I have to tell a joke. I don’t know many jokes and all the ones I do know are math jokes. [. . . ] That was a joke.”
- “Math trains you to see what is really meant, not the shadows around us; this may be the first step in understanding ‘Truth’ and ‘Justice’.”
- “There is only one way of knowing: the mathematical way of knowing. You can’t know something any other way.”
- “Why is math so successful, why does it last? Because in math, we don’t accept a statement as true unless it has a proof — an explanation of why a fact has to be true.”
- “As I face the long winter of life I don’t know if I can cling to proofs for warmth, but I can trust them, because they’ll always be here and they’ll always be true. That’s very comforting as I get older.”
- “There are just five Platonic solids. But
*why*are there only five? There’s no proof, no explanation of*why*this must be so.”

*As recorded by Core office employee Winona Hudak during Prof. Richard Hall’s discussion of mathematics and *The Republic*, at the November 29th CC101 lecture.*