A Quote by Julian Coolidge

But in the present century, thanks in good part to the influence of Hilbert, we have come to see that the unproved postulates with which we start are purely arbitrary. They must be consistent, they had better lead to something interesting.
If diphtheria is a disease caused by a microorganism, it is essential that three postulates be fulfilled. The fulfilment of these postulates is necessary in order to demonstrate strictly the parasitic nature of a disease: 1) The organism must be shown to be constantly present in characteristic form and arrangement in the diseased tissue. 2) The organism which, from its behaviour appears to be responsible for the disease, must be isolated and grown in pure culture. 3) The pure culture must be shown to induce the disease experimentally. An early statement of Koch's postulates.
Too much knowledge could be a bad thing. I was lead to the Szemerédi theorem by proving a result, about squares, that Euler had already proven, and I relied on an "obvious" fact, about arithmetical progressions, that was unproved at the time. But that lead me to try and prove that formerly unproved statement- about arithmetical progressions-and that ultimately lead to the Szemerédi Theorem.
Thanks to the critics and thanks to the Emmys, we got all sorts of great reviews and notices and awards, at the start. Part of it is that it's great fortune to have something to live up to, but as creative people, we all have to just put that aside and go forward, make the best product we can, have as joyous of an experience as we can, and really remember that the spirit of this was to surprise the fans with something that they didn't see coming.
Hilbert once had a student in mathematics who stopped coming to his lectures, and he was finally told the young man had gone off to become a poet. Hilbert is reported to have remarked: 'I never thought he had enough imagination to be a mathematician.'
True success is one of the greatest needs. Success is not something you stumble onto or come to by accident. It is something you must sincerely prepare for. Take a good look at successes, and you'll see he same consistent qualities all the time - qualities of one's character that make one strive for a goal with a standard of unmatched excellence.
Do something! Start something! As you make consistent efforts, you will begin to see your goals come into focus. You will discover your mission--the one only you can fulfill.
The good part of writing is where it gets out of your control and turns into something else. You look at it and think "Whoa, where did that come from? That wasn't what I meant to write, but it's more interesting than what I was intending. Which part of my subconscious or my experience did that come from?" Often the answer isn't clear, and often the line between fiction and fact isn't clear, either.
The prophet who fails to present a bearable alternative and yet preaches doom is part of the trap that he postulates.
Trials are not arbitrary. When I speak about them, I am referring to the mindful suffering.Man has come to his present development thanks to his hardships and trials.These are what prepare man for the Coming of Love.
There's a rule for what makes good fantasy work, and it's as strange as any riddle ever posed in a fairy tale: In fantasy, you can do anything; and therefore, the one thing you must not do is 'just anything.' Why? Because in a story where anything can happen and anything can be true, nothing matters. You have no reason to care what happens. It's all arbitrary, and arbitrary isn't interesting.
It's much less interesting as an actor playing someone who's purely good or purely evil.
You're always choosing the start point and the end point. And almost by definition, the most interesting period is where something happens, as a result of which something is different at the end. And so to me, the idea that you know everything about a character at the beginning is sort of ridiculous. Something has to be revealed. I like it when the deeper you go with the character, the more you see the layers start to peel away. It's more challenging to me, but it's also just interesting. Those are the things I like to watch. I like to watch the evolutions of something.
On the earth, satellite of a star speeding through space, living things had arisen under the influence of conditions which were part of the planet's history; and as there had been a beginning of life upon it, so, under the influence of other conditions, there would be an end: man, no more significant than other forms of life, had come not as the climax of creation but as a physical reaction to the environment.
As a manager, the more consistent you are, the better off you are. It's easy to be up when things go well. When things don't go well, the players will follow your lead. So you have to be consistent and upbeat, which takes some work sometimes.
To see a candle's light, one must take it into a dark place. This is the same as to see the good and be grateful, one must compare and contrast it with something worse - not better!
PERENNIAL wisdom from divine revelation and human experience dictates that all earthly things great or small, beautiful or ugly, good or bad, sad or happy, fool...ish or wise must finally come to an end. It is from this sobering reality that the end of executive rule has finally come for Robert Mugabe who has had his better days after a quarter of a century in power.
This site uses cookies to ensure you get the best experience. More info...
Got it!