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 highest form of pure thought is in mathematics

The highest form of pure thought is in mathematics

Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin.

Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin.

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.

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.

I advise my students to listen carefully the moment they decide
to take no more mathematics courses. They might read more

I advise my students to listen carefully the moment they decide
to take no more mathematics courses. They might be able to hear
the sound of closing doors. Everybody a mathematician?

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.

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

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

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.