It never happens that, when we go home and open the refrigerator, we see all infinitely many prime numbers there.
Why do I act as I do? To tell you the truth, I have absolutely no idea why. It is simply my nature to act as I act, and that's all I can say.
Sticks and stones may break my bones, but words can make me think I deserved it.
The revolutionary idea that defines the boundary between modern times and the past is the mastery of risk: the notion that the future is more than a whim of the gods and that men and women are not passive before nature.
Upon the whole, I am inclined to think that the far greater part, if not all, of those difficulties which have hitherto amused philosophers, and blocked up the way to knowledge, are entirely owing to our selves. That we have first raised a dust, and then complain, we cannot see.
Mathematics is about making up rules and seeing what happens.
Being a mathematician is a bit like being a manic depressive: you spend your life alternating between giddy elation and black despair.
You burros have calculus in your blood.
The habit of analysis has a tendency to wear away the feelings.
No more fiction, for now we calculate; but that we may calculate, we had to make fiction first.
When I got to college, I was intending to study film. But I found that my brain was feeling mushy, so I took a few math classes. I started doing really well at them, and solving equations was this, like, drug rush.
I was so pleased to be at university to do physics and mathematics.
As I said in my last book, birds are mean. They're the only pet that, when they escape, the owners are relieved. You can tell a species is evil by doing this simple math. If my blond lab Molly was the size of T-Rex, that would just mean more kibble, more work for the gardener in the backyard, and a harder time moving her to my wife's side of the bed at night. If birds were the size of a T-Rex, the streets would be littered with human remains.
There are no solved problems; there are only problems that are more or less solved.
Only professional mathematicians learn anything from proofs. Other people learn from explanations.
I see a certain order in the universe and math is one way of making it visible.
Nothin' from nothin' leaves nothin'.
Euclid Alone Has Looked on Beauty Bare.
The calculus is the greatest aid we have to the application of physical truth in the broadest sense of the word.
Calculus required continuity, and continuity was supposed to require the infinitely little; but nobody could discover what the infinitely little might be.
A math lecture without a proof is like a movie without a love scene. This talk has two proofs.
Mathematics is for lazy people.
I am acutely aware of the fact that the marriage between mathematics and physics, which was so enormously fruitful in past centuries, has recently ended in divorce.
Mathematics may be defined as the economy of counting. There is no problem in the whole of mathematics which cannot be solved by direct counting.
Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life.
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