Mathematicians do not study objects, but relations between objects.
— Henri Poincare
I have hardly ever known a mathematician who was capable of reasoning.
— Plato mathematician quote
Mathematicians stand on each other's shoulders.
— Carl Friedrich Gauss
There is no philosophy which is not founded upon knowledge of the phenomena, but to get any profit from this knowledge it is absolutely necessary to be a mathematician.
— Daniel Bernoulli
A mathematician is a device for turning coffee into theorems.
— Paul Erdos

Mathematics is written for mathematicians.

It is impossible to be a mathematician without being a poet in soul.

It is easier to square the circle than to get round a mathematician.

A mathematician, like a painter or a poet, is a maker of patterns.
If his patterns are more permanent than theirs, it is because they are made with ideas.

At the dictation of a mathematician, it will solve in a matter of hours equations never before solved because of their intricacy and the enormous time and personnel which would be required to work them out on ordinary office calculators.

Einstein is an analytical mathematician seeking to give a physical interpretation to the conclusions of his mathematical process. In this he is hampered by a load of contradictory and absurd assumptions of the school that he follows, which throws him into all manner of difficulty. Einstein has such a faculty for embracing both sides of a contradiction that one would have to be of the same frame of mind to follow his thought, it is so peculiarly his own. The whole Relativity theory is as easy to follow as the path of a bat in the air at night.

You treat world history as a mathematician does mathematics, in which nothing but laws and formulas exist, no reality, no good and evil, no time, no yesterday, no tomorrow, nothing but an eternal, shallow, mathematical present.

How happy the lot of the mathematician! He is judged solely by his peers, and the standard is so high that no colleague or rival can ever win a reputation he does not deserve. No cashier writes a letter to the press complaining about the incomprehensibility of Modern Mathematics and comparing it unfavorably with the good old days when mathematicians were content to paper irregularly shaped rooms and fill bathtubs without closing the waste pipe.

In my opinion a mathematician need not preoccupy himself with philosophy  An opinion, moreover, which has been expressed by many philosophers.

I hope that no one present will suspect me of offering my personal criticism of the Western system to present socialism as an alternative. Having experienced applied socialism in a country where the alternative has been realized, I certainly will not speak for it. The wellknown Soviet mathematician Shafarevich, a member of the Soviet Academy of Science, has written a brilliant book under the title Socialism; it is a profound analysis showing that socialism of any type and shade leads to a total destruction of the human spirit and to a leveling of mankind into death.

However great a man's fear of life, suicide remains the courageous act, the clearheaded act of a mathematician. The suicide has judged by the laws of chance  so many odds against one that to live will be more miserable than to die. His sense of mathematics is greater than his sense of survival. But think how a sense of survival must clamor to be heard at the last moment, what excuses it must present of a totally unscientific nature.

Even though I am a mathematician, I look at [fetal development] with marvel: How do these instruction sets not make mistakes as they build what is us?

Charlie's not your conventional mathematician... we sexed him up a little bit.

Proof is an idol before whom the pure mathematician tortures himself.

The mathematician has reached the highest rung on the ladder of human thought.

The numbers may be said to rule the whole world of quantity, and the four rules of arithmetic may be regarded as the complete equipment of the mathematician.

The mathematician, carried along on his flood of symbols, dealing apparently with purely formal truths, may still reach results of endless importance for our description of the physical universe.

May not music be described as the mathematics of the sense, mathematics as music of the reason? The musician feels mathematics, the mathematician thinks music: music the dream, mathematics the working life.

There are no words to express the abyss between isolation and having one ally.
It may be conceded to the mathematician that four is twice two. But two is not twice one; two is two thousand times one.

Out of fifty mathematical papers presented in brief at such a meeting, it is a rare mathematician indeed who really understands what more than half a dozen are about.

The traditional mathematician recognizes and appreciates mathematical elegance when he sees it. I propose to go one step further, and to consider elegance an essential ingredient of mathematics: if it is clumsy, it is not mathematics.

No more than these machines need the mathematician know what he does.

A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature.

I'm no mathematician, so I'm stuck with the graphic representations.

Rigour is to the mathematician what morality is to men.

All musicians are subconsciously mathematicians.

I like to move among painters, mathematicians, psychologists, people who can tell me something.

I wanted to become a mathematician, physicist or astronomer.

No one gets angry at a mathematician or a physicist whom he or she doesn't understand, or at someone who speaks a foreign language, but rather at someone who tampers with your own language.

I found what I was looking for at Langley.
This was what a research mathematician did. I went to work every day for 33 years happy. Never did I get up and say I don't want to go to work.

I am not enough of a mathematician to be able to judge either the wellfoundedness or the limits of relativity in physics.

I was a mathematician by nature, and still am  I just knew I didn't want to be a mathematician. So I decided not to take any mathematics courses.

A mathematician is a person who can find analogies between theorems;
a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories.

One can imagine that the ultimate mathematician is one who can see analogies between analogies.

I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible.

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.
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Last Update: January, 2020