Another characteristic of mathematical thought is that it can have no success where it cannot generalize.

It is not too much to say that next after the passion to learn there is no quality so indispensable to the successful prosecutionof science as imagination. Find me a people whose early medicine is not mixed up with magic and incantations, and I will find you a people devoid of all scientific ability.

Another characteristic of mathematical thought is that it can have no success where it cannot generalize.

All the progress we have made in philosophy ... is the result of that methodical skepticism which is the element of human freedom.

The pragmatist knows that doubt is an art which hs to be acquired with difficulty.

Some think to avoid the influence of metaphysical errors, by paying no attention to metaphysics; but experience shows that these men beyond all others are held in an iron vice of metaphysical theory, because by theories that they have never called in question.

Truly, that reason upon which we plume ourselves, though it may answer for little things, yet for great decisions is hardly surer than a toss up.