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.

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?

The essence of mathematics is not to make simple things complicated, but to make complicated things simple.

The essence of mathematics is not to make simple things complicated, but to make complicated things simple.

Mathematics is the only instructional material that can be
presented in an entirely undogmatic way.

Mathematics is the only instructional material that can be
presented in an entirely undogmatic way.

Mathematics, rightly viewed, possesses not only truth, but
supreme beauty--a beauty cold and austere, like that of
sculpture.

Mathematics, rightly viewed, possesses not only truth, but
supreme beauty--a beauty cold and austere, like that of
sculpture.

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.

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.

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.

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.