I continued to do arithmetic with my father, passing proudly through fractions to decimals. I eventually arrived at the point where so many cows ate so much grass, and tanks filled with water in so many hours. I found it quite enthralling.

I continued to do arithmetic with my father, passing proudly through fractions to decimals. I eventually arrived at the point where so many cows ate so much grass, and tanks filled with water in so many hours. I found it quite enthralling.

An Autobiography.

"I think you're begging the question," said Haydock, "and I can see looming ahead one of those terrible exercises in probability where six men have white hats and six men have black hats and you have to work it out by mathematics how likely it is that the hats will get mixed up and in what proportion. If you start thinking about things like that, you would go round the bend. Let me assure you of that!"

The Mirror Crack'd.
Toronto: Bantam
Books, 1962.

It isn't that they can't see the solution. It is that they can't see the problem.

The Point of a Pin in The Scandal of Father Brown.

You can only find truth with logic if you have already found truth without it.

The Man who was Orthodox. 1963.

There is no national science just as there is no national multiplication table; what is national is no longer science.

In V. P. Ponomarev,
Mysli o nauke
Kishinev, 1973.

Poets do not go mad; but chess-players do. Mathematicians go mad, and cashiers; but creative artists very seldom. I am not, as will be seen, in any sense attacking logic: I only say that this danger does lie in logic, not in imagination.

Orthodoxy, Ch. 2.

Projective geometry is all geometry.

In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.

...treat Nature by the sphere, the cylinder and the cone...

As for everything else, so for a mathematical theory: beauty can be perceived but not explained.

In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.

Men pass away, but their deeds abide.

[His last words, perhaps]

In H. Eves,
Mathematical Circles
Revisited, Boston:
Prindle, Weber and
Schmidt, 1971.