Study hard what interests you the most in the most undisciplined, irreverent and original manner possible.

—Richard P. Feynman

Science is the topography of ignorance.

—Oliver Wendell Holmes Sr.

When the cube and the things together
Are equal to some dicrete number,
Find two other numbers differing in this one.
Then you will keep this as a habit
That their product shall always be equal
Exactly to the cube of a third of the things.
The remainder then as a general rule
Of their cube roots subtracted
Will be equal to your principal thing.

—Nicolo Tartaglia

If you thought that science was certain – well, that is just an erro on your part.

—Richard P. Feynman

To be independent of public opinion is the first formal condition of achieving anything great.

—Georg Wilhelm Friedrich Hegel

It takes one’s curiosity to try and one’s sheer will to try again.

—Ali Khudiyev

We must know. We will know.

—David Hilbert

Freedom matters the most for the intelligent ones.

—Ali Khudiyev

What I cannot create, I do not understand.

—Richard P. Feynman

Coherence is more important than the truth.

—Ali Khudiyev

Good, he did not have enough imagination to become a mathematician.

—David Hilbert

I learned very early the difference between knowing the name of something and knowing something.

—Richard P. Feynman

You find life when you look into what you love, but you don’t find love when you look into life.

—Ali Khudiyev

We are what we repeatedly do. Excellence, then, is not an act, but a habit.

—Aristotle

You miss 100% of the shots you don’t take.

—Wayne Gretzky, Michael Scott

It is the obvious things that we miss.

—Ali Khudiyev

Life can only be understood backwards; but it must be lived forwards.

—Soren Kierkegaard

The infinite! No other question has ever moved so profoundly the spirit of man.

—David Hilbert

Understanding something is such an illusion we have gotten accustomed to believing over and over again. Understanding a concept is very closely tied to understanding other concepts. So, somewhere in this loop there should be concepts either we accept as understood inherently without actually questioning our understanding of them or it is just a cyclic process. We do not truly understand things, we get used to them.

—Ali Khudiyev

The essence of mathematics is in its freedom.

—Georg Cantor

When I let go of what I am, I become what I might be.

—Lao Tzu

Not having an effective way of measuring something is one way of realizing that you haven’t understood the concept’s true essence.

—Ali Khudiyev

Imagination is the Discovering Faculty, pre-eminently. It is that which penetrates into the unseen worlds around us.

—Ada Lovelace

Ability of fast adaption is a result of high intelligence.

—Ali Khudiyev

You cannot teach a man anything; you can only help him find it within himself.

—Galileo Galilei

Talent is important, but how one develops and nurtures it is even more so.

—Terence Tao

Maybe we should not create very intelligent system, but a dumb system very intelligently.

—Ali Khudiyev

The first principle is that you must not fool yourself – and you are the easiest person to fool.

—Richard P. Feynman

Be less curios about people and more curious about ideas.

—Marie Curie

The best type of book is not the one which tries to solely teach the underlying principles, rather it is the one which gives you lots of ideas about them.

—Ali Khudiyev

To know what you know and what you do not know, that is true knowledge.

—Confucius

A person who never made a mistake never tried anything new.

—Albert Einstein

When you cannot make sense of something, it is because of either unclear notation of its representation or mysteriousneess of its true nature. It is usually the first one.

—Ali Khudiyev

If I have seen further than others, it is by standing upon the shoulders of giants.

—Isaac Newton

I would rather have questions that can’t be answered than answers that can’t be questioned.

—Richard P. Feynman

For us, to be capable of predicting something successfully, something has to be constant. In other words, predicting some change implies predicting an unchanging variable.

—Ali Khudiyev

Imagination is more important that knowledge. For knowledge is limited, whereas imagination embraces the entire world, stimulating progress, giving birth to evolution.

—Albert Einstein

If you are a researcher, you are trying to figure out what the question is as well as what the answer is.

—Edward Witten

Programming is about knowing two languages and mapping one to the other.

—Ali Khudiyev

God may not play dice with the universe, but something strange is going on with the prime numbers.

—Paul Erdos

Religion is a culture of faith; science is a culture of doubt.

—Richard P. Feynman

Don’t get defined by others’ rules, define your own rules.

—Ali Khudiyev

Nothing in life is to be feared, it is only to be understood. Now is the time to understand more, so that we may fear less.

—Marie Curie

The more you think, you realize the more ignorant you are. The more ignorant you are, the less you think. We can conclude that you cannot be fully aware of yourself until a second later.

—Ali Khudiyev

The only thing that might have annoyed some mathematicisans was the presumption of assuming that maybe the axiom of choice could fail, and that we should look into contrary assumptions.

—Alonzo Church

The limits of my language are the limits of my mind. All I know is what I have words for.

—Ludwig Wittgenstein

We spend most of our time acquiring the least amount of knowledge. Any high school student could know 80% of what a great scientist knows, but the remaining 20% is what makes the latter a great scientist.

—Ali Khudiyev

That which does not kill us makes us stronger.

—Friedrich Nietzsche

It is not interesting to try to solely capture what is changing, rather it is very important to capture what is not changing when everything else’s changing.

—Ali Khudiyev

You’re just a man. (Memento mori – Remember you are mortal.)

—Marcus Aurelius’s Slave

I could only answer a question for which I can construct a sound formalization. A question requiring self-conflict can only be answered by getting past the human conscience. Asking a person to answer such a question necessarily implies the uninterest of the questioner in the thought and reasoning process of the answerer.

—Ali Khudiyev