Several readers: โ€œWhatโ€™s with this โ€™supremumโ€™ and โ€˜infimumโ€™ stuff? Why

canโ€™t you say โ€˜maximumโ€™ and โ€˜minimum,โ€™ like a normal human being?โ€

Answer: Because they are different things. The set of all real numbers

less than 1 has a supremum, but no maximum. That function of mine has lots

of maximums โ€” an infinity of them, in fact! โ€” and it also has a supremum;

but none of the maximums is equal to the supremum. Thatโ€™s the point.

I really must start those pop quizzesโ€ฆ