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.

Drunkeness is temporary suicide: the happiness that it brings is merely negative, a momentary cessation of unhappiness.

Love cannot exists as a duty; to tell a child that it ought to love its parents and its brother and sisters is utterly useless, if not worse.

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".

The demand for certainty is one which is natural to man, but is nevertheless an intellectual vice.

The human race may well become extinct before the end of the century. Speaking as a mathematician, I should say the odds are about three to one against survival.

Nothing of importance is ever achieved without discipline. I feel myself sometimes not wholly in sympathy with some modern educational theorists, because I think that they underestimate the part that discipline plays. But the discipline you have in your life should be one determined by your own desires and your own needs, not put upon you by society or authority.