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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.

Arithmetic is being able to count up to twenty without taking off your shoes

Arithmetic is being able to count up to twenty without taking off your shoes

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?

Revolutions never occur in mathematics.

Revolutions never occur in mathematics.

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.

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.

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.

A mathematician is a device for turning coffee into theorems.

A mathematician is a device for turning coffee into theorems.