Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.

The real voyage of discovery consists not in seeking new landscapes, but in having new eyes.

Where there is matter, there is geometry.

As for everything else, so for a mathematical theory: beauty can be perceived but not explained.

Pure mathematics is, in its way, the poetry of logical ideas.

Mathematics rightly viewed possesses not only truth but supreme beauty.

The union of the mathematician with the poet, fervor with measure, passion with correctness, this surely is the ideal.

The introduction of numbers as coordinates is an act of violence.

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

Obvious is the most dangerous word in mathematics.

Any teacher that can be replaced by a computer should be replaced by a computer.

Mathematics - this may surprise or shock some - is never deductive in creation.

There are three kinds of lies: lies, damned lies, and statistics.

The mathematician's patterns, like the painter's or the poet's, must be beautiful.

Most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity.

Imagination is more important than knowledge.

Music is the pleasure the human mind experiences from counting without being aware that it is counting.

Give me a place to stand and I will move the earth.

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.

But mathematics is the sister, as well as the servant, of the arts and is touched with the same madness and genius.

In mathematics the art of proposing a question must be held of higher value than solving it.

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

Being a mathematician is a bit like being a manic depressive: you spend your life alternating between giddy elation and black despair.

A mathematician who is not also something of a poet will never be a complete mathematician.

A mathematician is a device for turning coffee into theorems.

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