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.

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

Where there is matter, there is geometry.

Mathematics rightly viewed possesses not only truth but supreme beauty.

Number rules the universe.

...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling, which all mathematicians know

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

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

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

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

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

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

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

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.

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

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

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

Obvious is the most dangerous word in mathematics.

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

Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind.

Imagination is more important than knowledge.

If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not be anything but zero. To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be. These supposed mysteries have rendered the calculus of the infinitely small quite suspect to many people. Those doubts that remain we shall thoroughly remove in the following pages, where we shall explain this calculus.

It is the invaluable merit of the great Basle mathematician Leonard Euler, to have freed the analytical calculus from all geometric bounds, and thus to have established analysis as an independent science, which from his time on has maintained an unchallenged leadership in the field of mathematics.

[Mathematics] is an independent world created out of pure intelligence.

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