Algebra is the intellectual instrument which has been created for rendering clear the quantitative aspects of the world.

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

God is in the world, or nowhere, creating continually in us and around us. Insofar as man partakes of this creative process does he partake of the divine, of God, and that participation is his immortality.

Vigorous societies harbour a certain extravagance of objectives.

Our reasonings grasp at straws for premises and float on gossamers for deductions.

You think the world is what it looks like in fine weather at noon day; I think it is what it seems like in the early morning when one first wakes from deep sleep.

Dogmatism is the anti-Christ of learning.