Best 579 quotes in «mathematics quotes» category

I feign no hypotheses.

If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper.

I finally reached the conclusion that mathematics was the study I was best fitted to follow, though I did not clearly see in what way I should turn the subject to account.

If I had inherited a fortune I should probably not have cast my lot with mathematics.

If there is a God, he's a great mathematician.

If only I had the Theorems! Then I should find the proofs easily enough.

If things are nice there is probably a good reason why they are nice: and if you do not know at least one reason for this good fortune, then you still have work to do.

If it squirms, it's biology; if it stinks, it's chemistry; if it doesn't work, it's physics; and if you can't understand it, it's mathematics.

If you go fishing you may not catch any fish. If you don't go fishing, you'll never catch any fish.

If we have no idea why a statement is true, we can still prove it by induction.

If there is one thing in mathematics that fascinates me more than anything else (and doubtless always has), it is neither "number" nor "size", but always form. And among the thousand-and-one faces whereby form chooses to reveal itself to us, the one that fascinates me more than any other and continues to fascinate me, is the structure hidden in mathematical things.

If you learn music, you'll learn history. If you learn music, you'll learn mathematics. If you learn music, you'll learn most all there is to learn.

I had drawings that were the first time that mathematics was put into visual form.

I had changed from being a mathematician to a practicing scientist. I was increasingly embarassed that I could no longer follow some of the more modern branches of pure mathematics.

If you understand something, you understand that it is obvious.

I have heard myself accused of being an opponent, an enemy of mathematics, which no one can value more highly than I, for it accomplishes the very thing whose achievement has been denied me.

I had made an empirical discovery and it carried all the weight of a mathematical proof.

I liked science. I wasn't mathematically oriented, so I became an organic chemist.

I'm convinced that imagination is at the heart of everything we do - in art, science, even astrophysics and higher mathematics. Imagination leads us to ask, "What if?

I have long admired Ron Whitehead. He is crazy as nine loons, and his poetry is a dazzling mix of folk wisdom and pure mathematics

I never use a computer.

I never failed in mathematics. Before I was fifteen I had mastered differential and integral calculus.

I knew my purpose well and clear: to show how Nature behaves without cluttering its beauty with abtruse mathematics.

In every department of physical science there is only so much science, properly so-called, as there is mathematics.

In mathematics I can report no deficiency, except it be that men do not sufficiently understand the excellent use of Pure Mathematics.

In Mathematics it is always best to cheat.

In India, I learned a proverb that says, 'Distrust the calculation seven times over, the mathematician a hundred times.'

In mathematics and science, there is no difference in the intelligence of men and women. The difference in genes between men and women is simply the Y chromosome, which has nothing to do with intelligence.

In mathematics we find the primitive source of rationality; and to mathematics must the biologists resort for means to carry out their researches.

In mathematics we have long since drawn the rein, and given over a hopeless race.

Infinity converts the possible into the inevitable.

In mathematics, our freedom lies in the questions we ask — and in how we pursue them — but not in the answers awaiting us.

In mathematics there are no true controversies.

In some parts of life, like mathematics and science, yeah, I was a genius. I would top all the top scores you could ever measure it by.

In my schooling through high school, I excelled mainly in chemistry, physics and mathematics.

Integers are the fountainhead of all mathematics.

In my family, as in most middle-class Indian families I knew when I was growing up, science and mathematics were held in awe.

Inspiration is constantly in the air. It's up to us to develop the sensitivity to pick up on it.

Is my understanding only blindness to my own lack of understanding? It often seems so to me.

I read everything: fiction, history, science, mathematics, biography, travel.

I take a dose of mathematics every day to prevent my brain from becoming quite soft.

I sort of was good at writing essays. I was never very good at mathematics, and I was never very good at algebra. I loved science, but I wasn't sure of it.

I protest against the use of infinite magnitude ..., which is never permissible in mathematics.

I think the biggest misconception is that everybody has to learn mathematics. That seems to be a complete mistake.

It can be argued that the mathematics behind these images [of the orbit diagram for quadratic functions and the Mandelbrot set] is even prettier than the pictures themselves.

I think the term "Kantian constructivism" as an oxymoron. Kant was a constructivist about mathematics, but not about ethics.

It is here [in mathematics] that the artist has the fullest scope of his imagination.

It is my experience that proofs involving matrices can be shortened by 50% if one throws the matrices out.

It is indubitable that a 50-year-old mathematician knows the mathematics he learned at 20 or 30, but has only notions, often rather vague, of the mathematics of his epoch, i.e. the period of time when he is 50.

It is the simple hypotheses of which one must be most wary; because these are the ones that have the most chances of passing unnoticed.