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.

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

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

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 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.

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.

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.

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.