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?

Mathematics seems to endow one with something like a new sense.

Mathematics seems to endow one with something like a new sense.

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.

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.

The highest form of pure thought is in mathematics

The highest form of pure thought is in mathematics

Arithmetic is being able to count up to twenty without taking off your shoes

Arithmetic is being able to count up to twenty without taking off your shoes

Math is like love -- a simple idea but it can get complicated.

Math is like love -- a simple idea but it can get complicated.