A Quote by Freeman Dyson
You have this world of mathematics, which is very real and which contains all kinds of wonderful stuff. And then we also have the world of nature, which is real, too.
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You have this world of mathematics, which is very real and which contains all kinds of wonderful stuff. And then we also have the world of nature, which is real, too. And that, by some miracle, the language that nature speaks is the same language that we invented for mathematics. That's just an amazing piece of luck, which we don't understand.
Logic, too, also rests on assumptions that do not correspond to anything in the real world, e.g., on the assumption that there areequal things, that the same thing is identical at different points in time: but this science arose as a result of the opposite belief (that such things actually exist in the real world). And it is the same with mathematics, which would certainly never have arisen if it had been understood from the beginning that there is no such thing in nature as a perfectly straight line, a true circle, and absolute measure.
If God thinks this state of war in the universe is a price worth paying for free will--that is, for making a live world in which creatures can do real good or harm and something of real importance of real importance can happen, instead of a toy world which only moves when He pulls the strings--then we may take it it is worth paying.
The screen is a window through which one sees a virtual world. The challenge is to make that world look real, act real, sound real, feel real.
When reality becomes unbearable, the mind must withdraw from it and create a world of artificial perfection. Plato's world of pure Ideas and Forms, which alone is to be considered as real, whereas the world of nature which we perceive is merely its cheap Woolworth copy, is a flight into delusion.
Mathematics is a place where you can do things which you can't do in the real world.
Like a stool which needs three legs to be stable, mathematics education needs three components: good problems, with many of them being multi-step ones, a lot of technical skill, and then a broader view which contains the abstract nature of mathematics and proofs. One does not get all of these at once, but a good mathematics program has them as goals and makes incremental steps toward them at all levels.
Someone once defined a social problem as a situation in which the real world differs from the theories of intellectuals. To the intelligentsia, it follows, as the night follows the day, that it is the real world that is wrong and which needs to change.
Ultimately, all I wanted was for players to feel like they were in the real world. I wanted them to be able to apply real world common sense to the problems confronting them, and I thought recreating real world locations would encourage that kind of thinking. There's also just a real power, a real thrill, when you fire up a game and see a place you've been or want to go, and then get to do all the stuff you WANT to do there but know you'll get arrested if you try! If that isn't the stuff of fantasy - far more than exploring some goofy dwarven mine or alien spaceship - I don't know what is!
...the computer models are very good at solving equations of fluid dynamics but very bad at describing the real world. The real world is full of things like clouds and vegetation and soil and dust which the models describe very poorly.
I had the idea that there were two worlds. There was a real world as I called it, a world of wars and boxing clubs and children'shomes on back streets, and this real world was a world where orphans burned orphans.... I liked the other world in which almost everyone lived. The imaginary world.
One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical activity of the mind is conducted. If one failed to take that into account, then one would be left studying only the language in which mathematics is represented rather than the essence of mathematics.
Only that which lasts forever is real. That which is done in the temple lasts forever; therefore, the temple is the real world. Most of what we experience "out there," such as sickness, wealth, poverty, fame, etc., lasts for only a short period of time, so it is not the real world.
As a professional entertainer in sports, you get a lot of real-world experience in a world that's not very real - which is a lot of what politics are.
There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.
Learn to be good readers, which is perhaps a more difficult thing than you imagine. Learn to be discriminative in your reading; to read faithfully, and with your best attention, all kinds of things which you have a real interest in,--a real, not an imaginary,--and which you find to be really fit for what you are engaged in.
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