Life is complex, and it has both real and imaginary parts. — Someone

Basically, I’m not interested in doing research and I never have been… I’m interested in understanding, which is quite a different thing. And often to understand something you have to work it out yourself because no one else has done it. — David Blackwell

To not know maths is a severe limitation to understanding the world. — Richard Feynman

Problems worthy of attack prove their worth by fighting back. — Piet Hein

An expert is a person who has made all the mistakes that can be made in a very narrow field. — Niels Bohr

The beauty of mathematics is only shown to its patient followers. — Maryam Mirzakhani

The essence of Mathematics lies precisely in its freedom. — Georg Cantor

We must know, we will know. — David Hilbert

If your tendency is to make sense out of chaos, start chaos. — Carlos Castaneda

Perhaps I could best describe my experience of doing mathematics in terms of entering a dark mansion. You go into the first room and it’s dark, completely dark. You stumble around, bumping into the furniture. Gradually, you learn where each piece of furniture. And finally, after six months or so, you find the light switch and turn it on. Suddenly, it’s all illuminated and you can see exactly where you were. Then you enter the next dark room… — Andrew Wiles

If we knew what it is we were doing, it would not be called research. Would it? — Albert Einstein

If you can’t solve a problem, then there is an easier problem you can solve: find it. — George Pólya

Young man, in mathematics you don’t understand things. You just get used to them. — John Von Neumann

Mathematics is the art of giving the same name to different things. — Henri Poincare

Mathematics is the subject in which we never know what we’re talking about, nor whether what we are saying is true. — Bertrand Russell

All mathematics models are wrong. Some of them are useful. — George Box

Whenever something goes wrong, remember 1+1 is still 2. — Someone

The study of mathematics is apt to commence in disappointment… We are told that by its aid the stars are weighed and the billions of molecules in a drop of water are counted. Yet, like the ghost of Hamlet’s father, this great science eludes the efforts of our mental weapons to grasp it. — A. N. Whitehead

When one does a theoretical calculation, there are two ways of doing it. Either one should have a clear physical model in mind or a rigorous mathematical basis. — Enrico Fermi

Let the formula guide your thinking. — Someone

A mathematician is a device for turning coffee into theorems. — Alfréd Rényi

As long as there’s a life, there’s hope. — Stephen Hawking

Every problem was once “unsolvable” until it was solved.

Let us assume we know nothing, which is a reasonable approximation. — D. Kazhdan

Failure is not an option. Failure is mandatory. The option is whether or not you let failure be the last thing you do. — Howard Tayler

Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding. — William Paul Thurston

What is mathematics? It is only a systematic effort of solving puzzles posed by nature. — Shakuntala Devi

Doing mathematics should always mean finding patterns and crafting beautiful and meaningful explanations. — Paul Lockhart

Obvious is the most dangerous word in mathematics. — Eric Temple Bell

Mathematics is the poetry of logical ideas. — Albert Einstein

Only one thing can comfort your feelings like music, please your heart like paintings, stir your soul like poetry, enhance your wisdom like philosophy, and improve your life like technology — Mathematics. — Klein