The point about zero is that we do not need to use it in the operations of daily life. No one goes out to buy zero fish. It is in a way the most civilised of all the cardinals, and its use is only forced on us by the needs of cultivated modes of thought.

Art heightens the sense of humanity. It gives an elation to feeling which is supernatural...A million sunsets will not spur us on towards civilization. It requires Art to evoke into consciousness the finite perfections which lie ready for human achievement.

The pursuit of mathematics is a divine madness of the human spirit.

We think of the number "five" as applying to appropriate groups of any entities whatsoever - to five fishes, five children, five apples, five days... We are merely thinking of those relationships between those two groups which are entirely independent of the individual essences of any of the members of either group. This is a very remarkable feat of abstraction; and it must have taken ages for the human race to rise to it

In all education the main cause of failure is staleness.

Do not teach too many subjects and what you teach, teach thoroughly.

The worship of God is not a rule of safety - it is an adventure of the spirit, a flight after the unattainable.