Mathematics is the music of reason.

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

Pure mathematics is the world's best game. It is more absorbing than chess, more of a gamble than poker, and lasts longer than Monopoly.

The mathematician does not study pure mathematics because it is useful; he studies it because he delights in it and he delights in it because it is beautiful.

Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.

A mathematician is a device for turning coffee into theorems.

In pure mathematics, we are concerned with the logical relationships between abstract concepts, not with their physical manifestations.

The beauty of mathematics only shows itself to more patient followers.

Pure mathematics is the subject in which we do not know what we are talking about, nor whether what we are saying is true.

Mathematics is the science of patterns, and nature exploits just about every pattern that there is.

The highest form of pure thought is in mathematics.

In mathematics, you don't understand things. You just get used to them.

Pure mathematics is the art of creating necessary logical structures and discovering their inevitable consequences.

Mathematics is the language with which God has written the universe.

The abstract patterns of mathematics exist independently of human thought, waiting to be discovered.

In pure mathematics, we are free to create worlds governed by whatever rules we choose, then explore their consequences.

Mathematics is the only true metaphysics.

The infinite in mathematics is always unruly unless it is properly treated.

Pure mathematics is, ultimately, the study of structure and relationship for their own sake.

Mathematical proofs are to the mathematician what experimental results are to the experimental scientist.

In mathematics, the simplest questions often lead to the deepest theories.

Pure mathematics is the ultimate exercise in intellectual freedom - bound only by the constraints of logic itself.

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

Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness.

In pure mathematics, we find truth that is eternal and independent of the physical world.

The essence of mathematics is its freedom to explore any consistent system of thought.

Pure mathematics is the foundation upon which all applied mathematics rests, though it needs no justification beyond itself.

Mathematics is the science of what is clear by itself.

In mathematics, the journey from question to answer is often more valuable than the destination itself.