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.

Do not worry about your difficulties in mathematics, I assure you
that mine are greater.

Do not worry about your difficulties in mathematics, I assure you
that mine are greater.

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?

It is the perennial youthfulness of mathematics itself which
marks it off with a disconcerting immortality from the other read more

It is the perennial youthfulness of mathematics itself which
marks it off with a disconcerting immortality from the other
sciences.

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.

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.

The Handmaiden of the Sciences.

The Handmaiden of the Sciences.

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?