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

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

Still, it will sometimes strike a scientific man that the philosophers have been less intent on finding out what the facts are, than on inquiring what belief is most in harmony with their system.

And what, then, is belief? It is the demi-cadence which closes a musical phrase in the symphony of our intellectual life.

It is... easy to be certain. One has only to be sufficiently vague.

This branch of mathematics [Probability] is the only one, I believe, in which good writers frequently get results which are entirely erroneous.

When an image is said to be singular, it is meant that it is absolutely determinate in all respects. Every possible character, or the negative thereof, must be true of such an image.