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?

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.

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.

Like the crest of a peacock so is mathematics at the head of all
knowledge.

Like the crest of a peacock so is mathematics at the head of all
knowledge.

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.

Revolutions never occur in mathematics.

Revolutions never occur in mathematics.

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.

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.