Carl Friedrich Gauss Quotes

In the simplest array of digits [Ramanujan] detected wonderful properties: congruences, symmetries and relationships which had escaped the notice of even the outstandingly gifted theoreticians.

Mathematics is the queen of science, and arithmetic the queen of mathematics.

I can show you that the art of calculation has to do with odd and even numbers in their numerical relations to themselves and to each other.

Prime numbers are what is left when you have taken all the patterns away. I think prime numbers are like life. They are very logical but you could never work out the rules, even if you spent all your time thinking about them.

I got good grades in math, but I never really enjoyed it. My favorite part of math was algebra, but geometry was the worst.

Mathematics is the queen of the sciences.

There are infinite numbers between 0 and 1.

One would be hard put to find a set of whole numbers with a more fascinating history and more elegant properties surrounded by greater depths of mystery--and more totally useless--than the perfect numbers.

Math is the only place where truth and beauty mean the same thing.

Mathematics has the completely false reputation of yielding infallible conclusions. Its infallibility is nothing but identity. Two times two is not four, but it is just two times two, and that is what we call four for short. But four is nothing new at all. And thus it goes on and on in its conclusions, except that in the higher formulas the identity fades out of sight.

Only Numbers. Pure math. You have to accustom yourself to thinking that way.

Nature does not count nor do integers occur in nature. Man made them all, integers and all the rest, Kronecker to the contrary notwithstanding.

I am not interested in what today's mathematicians find interesting.

As time goes on, it becomes increasingly evident that the rules which the mathematician finds interesting are the same as those which Nature has chosen.

The Good Lord made all the integers; the rest is man's doing.

If equations are trains threading the landscape of numbers, then no train stops at pi.

There still remain three studies suitable for free man. Arithmetic is one of them.

100% of the people who give 110% do not understand math.

By keenly confronting the enigmas that surround us, and by considering and analyzing the observations that I had made, I ended up in the domain of mathematics. Although I am absolutely without training in the exact sciences, I often seem to have more in common with mathematicians than with my fellow artists.

Nonmathematical people sometimes ask me, “You know math, huh? Tell me something I’ve always wondered, What is infinity divided by infinity?” I can only reply, “The words you just uttered do not make sense. That was not a mathematical sentence. You spoke of ‘infinity’ as if it were a number. It’s not. You may as well ask, 'What is truth divided by beauty?’ I have no clue. I only know how to divide numbers. ‘Infinity,’ ‘truth,’ ‘beauty’—those are not numbers.

The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers.

There's math, and everything else is debatable!

Number theorists are like lotus-eaters -- having once tasted of this food they can never give it up.

That was the wonderful thing about Ramanujan. He discovered so much, and yet he left so much more in his garden for other people to discover.

Sometimes six and six make a dozen, and sometimes they make a mess