The highest form of pure thought is in mathematics

The highest form of pure thought is in 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.

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.

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.

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.

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 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 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.