As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there may be mathematical facts which are true but unknowable.
Abraham Robinson
A dead tree, cut into planks and read from one end to the other, is a kind of line graph, with dates down one side and height along the other, as if trees, like mathematicians, had found a way of turning time into form.
Alice Oswald
The only thing that might have annoyed some mathematicians was the presumption of assuming that maybe the axiom of choice could fail, and that we should look into contrary assumptions.
Alonzo Church
First rate mathematicians choose first rate people, but second rate mathematicians choose third rate people.
Andre Weil
Pure mathematicians just love to try unsolved problems - they love a challenge.
Andrew Wiles
I hope that seeing the excitement of solving this problem will make young mathematicians realize that there are lots and lots of other problems in mathematics which are going to be just as challenging in the future.
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.
The greatest problem for mathematicians now is probably the Riemann Hypothesis.
Most were beginning to feel they had learned enough to last for the rest of their lives. They remained mathematicians, but largely went their own way.
Benoit Mandelbrot
When I first began studying prices, it wasn't a topic that mathematicians were working on. Purely by accident, I saw a set of data on price changes presented in a lecture and realized they behaved similarly to the geometric models I was already studying.
Physicists are more like avant-garde composers, willing to bend traditional rules... Mathematicians are more like classical composers.
Brian Greene
Mathematicians stand on each other's shoulders.
Carl Friedrich Gauss
It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation.
Abel has left mathematicians enough to keep them busy for 500 years.
Charles Hermite
The way in which mathematicians and physicists and historians talk is quite different, and what a physicist means by physical intuition and what a mathematician means by beauty or elegance are things worth thinking about.
Clifford Geertz
Mathematicians have been hiding and writing messages in the genetic code for a long time, but it's clear they were mathematicians and not biologists because, if you write long messages with the code that the mathematicians developed, it would more than likely lead to new proteins being synthesized with unknown functions.
Craig Venter
It would be better for the true physics if there were no mathematicians on earth.
Daniel Bernoulli
Even the greatest mathematicians, the ones that we would put into our mythology of great mathematicians, had to do a great deal of leg work in order to get to the solution in the end.
Daniel Tammet
Physicists and mathematicians regularly invade other fields but other fields do not invade theirs so we can see which fields are hardest for very talented people.
Dominic Cummings
The work of mathematicians on 'pure' problems has often yielded ideas that have waited to be rediscovered by physicists. The work of Euclid, Apollonius and Archimedes on ellipses would be used centuries later by Kepler for his theory of planetary motion.
Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness.
Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians.
Many mathematicians derive part of their self-esteem by feeling themselves the proud heirs of a long tradition of rational thinking; I am afraid they idealize their cultural ancestors.
Mathematicians are like managers - they want improvement without change.
Mathematicians don't like it when they're associated with mental illness and sort of bristle when you say that they can't get along socially, that they're not good with people.
The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.
Nature never uses prime numbers. But mathematicians do.
I worked in a number of high schools in New York, and I wound up at Stuyvesant High School, which is known nationally for producing brilliant scientists and mathematicians, but I had writing classes. I thought I was teaching. They thought I was teaching, but I was learning.
I like to move among painters, mathematicians, psychologists, people who can tell me something.
The truth has never been of any real value to any human being - it is a symbol for mathematicians and philosophers to pursue. In human relations kindness and lies are worth a thousand truths.
So my favorite online dating website is OkCupid, not least because it was started by a group of mathematicians.
Mathematicians do not study objects, but relations between objects.
Mathematicians are born, not made.
Need we add that mathematicians themselves are not infallible?
Today, you have neuroscientists working on a genetic, behavioural or cognitive level, and then you have informaticians, chemists and mathematicians. They all have their own understanding of how the brain functions and is structured. How do you get them all around the same table?
Philip Kitcher thinks that mathematics is surprisingly like empirical science. Few mathematicians would agree; philosophers too, from Socrates on, have held the opposite opinion.
Mathematicians may flatter themselves that they possess new ideas which mere human language is as yet unable to express.
Mathematicians are always playing tricks on each other. They're always pulling jokes on each other.
I would not dare to say that there is a direct relation between mathematics and madness, but there is no doubt that great mathematicians suffer from maniacal characteristics, delirium, and symptoms of schizophrenia.
After preliminary work by a number of other distinguished mathematicians and economists, game theory as a systematic theory started with von Neumann and Morgenstern's book, 'Theory of Games and Economic Behavior,' published in 1944.
Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate.
Artists realise that mathematicians have a way of looking at the world that can make them see things differently.
We need scientists and mathematicians explaining why they are excited about their subjects but also why they are important for solving social problems, informing political debate and for the economy.
Female physicists, astronomers and mathematicians are up against more than 2,000 years of convention that has long portrayed these fields as inherently male.
It has been very rare to see a black woman as a protagonist. And also as three-dimensional people - mathematicians, mothers, wives, complicated people, not perfect.
I knew a lot of black scientists, engineers, and mathematicians, and female mathematicians and engineers, women of all backgrounds. So this idea that anyone could be an engineer, a mathematician, or whatever, was something that I had grown up with and thought was really normal.
Our next-door neighbour taught physics at Hampton University. Our church abounded with mathematicians. Supersonics experts held leadership positions in my mother's sorority, and electrical engineers sat on the board of my parents' college alumni associations.
For Israel to retain its amazing position as the largest concentration of high tech after Silicon Valley, we need more engineers and mathematicians. We have too many lawyers.
A lot of boys in my poker circle are mathematicians who play on probability. I don't have that kind of brain, so I rely on instinct. But I recently found out that poker and cards in general go way back in my family gene pool.
Mathematics is written for mathematicians.