The thing is, it's very dangerous to have a fixed idea. A person with a fixed idea will always find some way of convincing himself in the end that he is right
Intuition makes much of it; I mean by this the faculty of seeing a connection between things that in appearance are completely different; it does not fail to lead us astray quite often.
Well, some mathematics problems look simple, and you try them for a year or so, and then you try them for a hundred years, and it turns out that they're extremely hard to solve.
Perhaps the methods I needed to complete the proof would not be invented for a hundred years. So even if I was on the right track, I could be living in the wrong century.
I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about.
It could be that the methods needed to take the next step may simply be beyond present day mathematics. Perhaps the methods I needed to complete the proof would not be invented for a hundred years.
I am of the African race, and in the colour which is natural to them of the deepest dye; and it is under a sense of the most profound gratitude to the Supreme Ruler of the Universe.
I hate rats. I had a pet rat to try and overcome it. I even gave him mouth-to mouth resuscitation when he had a heart attack. But I couldn't conquer it.
A sense is what has the power of receiving into itself the sensible forms of things without the matter, in the way in which a piece of wax takes on the impress of a signet-ring without the iron or gold.
There is in each person, in every animal, bird and plant a star which mirrors, matches or is in some sense the same as a star in the heavens.
We have absolutely no control over what happens to us in life but what we have paramount control over is how we respond to those events.
My interests span biology, though sometimes I feel like an anachronism, somebody from the Victorian era when there weren't so many boundaries dividing the sciences.
The atheist is cheating whenever he makes a moral judgment, acting as though it has an objective reference, when his philosophy in fact precludes it.
Even with the right political climate, would the wrong people refrain from doing the wrong thing?
The problems of language here are really serious. We wish to speak in some way about the structure of the atoms. But we cannot speak about atoms in ordinary language.
Questions of personal priority, however interesting they may be to the persons concerned, sink into insignificance in the prospect of any gain of deeper insight into the secrets of nature.
Substantial progress toward better things can rarely be taken without developing new evils requiring new remedies.
I am afraid I am a constant disappointment to my party. The fact of the matter is, the longer I am president the less of a party man I seem to become.
I am in favor of helping the prosperity of all countries because, when we are all prosperous, the trade with each becomes more valuable to the other.
We have a government of limited power under the Constitution, and we have got to work out our problems on the basis of law.
I believe scientists have a duty to share the excitement and pleasure of their work with the general public, and I enjoy the challenge of presenting difficult ideas in an understandable way.