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

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

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?

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.

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.

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 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.

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.

Mathematics is written for mathematicians.

Mathematics is written for mathematicians.

Revolutions never occur in mathematics.

Revolutions never occur in mathematics.