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.

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.

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.

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.

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.

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

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

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

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

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.