The first lecture of each new year renews for most people a light stage fright.

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".

It is true that I should have been surprised in the past to learn that Professor Hardy had joined the Oxford Group. But one could not say the adverse chance was 1:10. Mathematics is a dangerous profession; an appreciable proportion of us go mad, and then this particular event would be quite likely.

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

A Miscellany is a collection without a natual ordering relation.

The first lecture of each new year renews for most people a light stage fright.

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.