As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there may be mathematical facts which are true but unknowable.
There is no ideal in observation. When you have an ideal, you cease to observe, you are then merely approximating the present to the idea, and therefore there is duality, conflict, and all the rest of it. The mind has to be in the state when it can see, observe. The experience of the observation is really an astonishing state. In that there is no duality. The mind is simply - aware.
You never know when some small thing will lead to a big idea. Travel is very inspirational - but it's in the ordinary that I find my themes of love and work and family.
In Marseilles they make half the toilet soap we consume in America, but the Marseillaise only have a vague theoretical idea of its use, which they have obtained from books of travel.
It is the witness alone that can work without any desire, without any idea of going to heaven, without any idea of blame, without any idea of praise. The witness alone enjoys, and none else.
If you invent two or three people and turn them loose in your manuscript, something is bound to happen to them -- you can't help it; and then it will take you the rest of the book to get them out of the natural consequences of that occurrence, and so first thing you know, there's your book all finished up and never cost you an idea.
The Committee supports the idea that there should be, within the University of California, a campus which puts particular emphasis on the education of undergraduates within the framework of a College system.
There is an idea abroad among moral people that they should make their neighbors good. One person I have to make good: Myself. But my duty to my neighbor is much more nearly expressed by saying that I have to make him happy if I may.
An isolated person requires correspondence as a means of seeing his ideas as others see them, and thus guarding against the dogmatisms and extravagances of solitary and uncorrected speculation.
When an idea is just rising on the horizon, the soul's temperature with respect to it is usually very cold. Only gradually does the idea develop its warmth, and it is hottest (which is to say, exerting its greatest influence) when belief in the idea is already once again in decline.
I had no idea of the enormous and unquestionably helpful part that humbug plays in the social life of great peoples dwelling in a state of democratic freedom.
It is more than probable that I am not understood; but I fear, indeed, that it is in no manner possible to convey to the mind of the merely general reader, an adequate idea of that nervous intensity of interest with which, in my case, the powers of meditation (not to speak technically) busied and buried themselves, in the contemplation of even the most ordinary objects of the universe.