We have almost reached the point where praise of rationality is held to mark a man as an old fogey regrettably surviving from a bygone age.

Modern definitions of truth, such as those as pragmatism and instrumentalism, which are practical rather than contemplative, are inspired by industrialisation as opposed to aristocracy.

3 is prime, 5 is prime, 7 is prime, 9 is a paradox; as is a paradox why the number 1 is not prime if it has no other divisors besides himself.

Clergymen almost necessarily fail in two ways as teachers of morals. They condemn acts which do no harm and they condone acts which do great harm.

But as the work proceeded I was continually reminded of the fable about the elephant and the tortoise. Having constructed an elephant upon which the mathematical world could rest, I found the elephant tottering, and proceeded to construct a tortoise to keep the elephant from falling. But the tortoise was not more secure than the elephant, and after some twenty years of very arduous toil, I came to the conclusion that there was nothing more that I could do in the way of making mathematical knowledge indubitable.

Do not feel certain of anything.

I often long to . . . give up my life to love of my neighbour. This is really a temptation.