The surprising thing about this paper is that a man who could write it would.

A linguist would be shocked to learn that if a set is not closed this does not mean that it is open, or again that "E is dense in E" does not mean the same thing as "E is dense in itself".

A Miscellany is a collection without a natual ordering relation.

I read in the proof sheets of Hardy on Ramanujan: "As someone said, each of the positive integers was one of his personal friends." My reaction was, "I wonder who said that; I wish I had." In the next proof-sheets I read (what now stands), "It was Littlewood who said..."

I recall once saying that when I had given the same lecture several times I couldn't help feeling that they really ought to know it by now.

Mathematics is a dangerous profession; an appreciable proportion of us go mad.

I've been giving this lecture to first-year classes for over twenty-five years. You'd think they would begin to understand it by now.