A Quote by Andrew Wiles
Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity.
Related Quotes
There are some four million different kinds of animals and plants in the world. Four million different solutions to the problems of staying alive.
This is what I want you all to do. I want you to open a new document and type up a list of three problems in your life. Not the universe's life - your own. Underneath, type the solutions." "If we know the solutions," said Belle, "they're not problems." "Exactly," said Denny. "You do know the answers to most of your problems. Somewhere deep inside, you know.
Four. That's what I want you to remember. If you don't get your idea across in the first four minutes, you won't do it. Four sentences to a paragraph. Four letters to a word. The most important words in the English language all have four letters. Home. Love. Food. Land. Peace. . .I know peace has five letters, but any damn fool knows it should have four.
In America, we are not lacking solutions. We are lacking a two-party system that is willing to agree on solutions. Part of this is due to rigid ideological positioning that substitutes for really thinking about the facts and solutions.
It is fascinating to watch politicians come up with 'solutions' to problems that are a direct result of their previous solutions. In many cases, the most efficient thing to do would be to repeal their previous solution and stop being so gung-ho for creating new solutions in the future. But, politically, that is the last thing they will do.
I am hostile to the idea that collective solutions have to be made by committees and then imposed top-down. I very much prefer bottom-up solutions.
You know–my flower, I am responsible for her. She doesn’t even have four thorns to protect herself from harm.’ (Zarek) Why do you love that book so? (Astrid) Because I want to hear the bells when I look up at the sky. I want to laugh, but I don’t know how. (Zarek)
In the United States of America, unfortunately we still live in a bubble of unreality. And the Category 5 denial is an enormous obstacle to any discussion of solutions. Nobody is interested in solutions if they don’t think there’s a problem. Given that starting point, I believe it is appropriate to have an over-representation of factual presentations on how dangerous it is, as a predicate for opening up the audience to listen to what the solutions are, and how hopeful it is that we are going to solve this crisis.
I know that government doesn't have the all solutions that real solutions do not come from the top down. Instead, the ways to end poverty come from all of us. We are part of the solution.
After all, what is cinema? It is an interaction, a discussion that throws up questions and provides some solutions. The solutions might look simple, impractical or too fictionalised. But one must realise that viewers empathise with certain characters because they strike a chord with the viewers' needs and frame of mind.
Government tends to believe in top-down solutions, and government fears of bottom-up solutions.
That's the other thing that you find most often with women. They're not really concerned about what's happened over the last four years. They really want to know what's going to happen in the next four years.
I don't go through a torturous intellectual process to decide what to direct. I know what I want to direct the second I read something or hear a story. I just know when it grabs me in a certain way I want to direct it. And then I spend the next four to six months trying to talk myself out of it, because directing is really hard! But it's true, I know essentially when and what I want to do next... it's an undeniable feeling I get and it's not the same feeling I get when I wind up producing something.
I'm only a four-dimensional creature. Haven't got a clue how to visualise infinity. Even Einstein hadn't. I know because I asked him
Of the four billion life forms which have existed on this planet, three billion, nine hundred and sixty million are now extinct. We don't know why. Some by wanton extinction, some through natural catastrophe, some destroyed by meteorites and asteroids. In the light of these mass extinctions it really does seem unreasonable to suppose that Homo sapiens should be exempt. Our species will have been one of the shortest-lived of all, a mere blink, you may say, in the eye of time.
I'll try if I know all the things I used to know. Let me see: four times five is twelve, and four times six is thirteen, and four times seven is - oh dear! I shall never get to twenty at that rate!
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