War...seems a mere madness, a collective insanity.

Truth is for the gods; from our human point of view, it is an ideal, towards which we can approximate, but which we cannot hope to reach.

... mathematical knowledge ... is, in fact, merely verbal knowledge. "3" means "2+1", and "4" means "3+1". Hence it follows (though the proof is long) that "4" means the same as "2+2". Thus mathematical knowledge ceases to be mysterious.

Formality Thus the absence of all mention of particular things or properties in logic or pure mathematics is a necessary result of the fact that this study is, as we say, "purely formal".

Real life is, to most men, a long second best, a perpetual compromise between the ideal and the possible.

Few people can be happy unless they hate some other person, nation, or creed.

The secret of happiness is this: let your interests be as wide as possible, and let your reactions to the things and persons that interest you be as far as possible friendly rather than hostile.