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?

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.

The Handmaiden of the Sciences.

The Handmaiden of the Sciences.

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.

The mathematical sciences particularly exhibit order, symmetry,
and limitation; and these are the greatest forms of the
beautiful.

The mathematical sciences particularly exhibit order, symmetry,
and limitation; and these are the greatest forms of the
beautiful.

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

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

As far as the laws of mathematics refer to reality, they are not
certain, and as far as they read more

As far as the laws of mathematics refer to reality, they are not
certain, and as far as they are certain, they do not refer to
reality.

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?

Like the crest of a peacock so is mathematics at the head of all
knowledge.

Like the crest of a peacock so is mathematics at the head of all
knowledge.