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

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

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

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

For the things of this world cannot be made known without a
knowledge of mathematics.

For the things of this world cannot be made known without a
knowledge of mathematics.

I advise my students to listen carefully the moment they decide
to take no more mathematics courses. They might read more

I advise my students to listen carefully the moment they decide
to take no more mathematics courses. They might be able to hear
the sound of closing doors. Everybody a mathematician?

How can it be that mathematics, being after all a product of
human thought independent of experience, is so read more

How can it be that mathematics, being after all a product of
human thought independent of experience, is so admirably adapted
to the objects of reality?

One of the endlessly alluring aspects of mathematics is that its
thorniest paradoxes have a way of blooming into read more

One of the endlessly alluring aspects of mathematics is that its
thorniest paradoxes have a way of blooming into beautiful
theories.

It is the merest truism, evident at once to unsophisticated
observation, that mathematics is a human invention.

It is the merest truism, evident at once to unsophisticated
observation, that mathematics is a human invention.

To isolate mathematics from the practical demands of the sciences
is to invite the sterility of a cow shut read more

To isolate mathematics from the practical demands of the sciences
is to invite the sterility of a cow shut away from the bulls.

The highest form of pure thought is in mathematics

The highest form of pure thought is in mathematics