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Revolutions never occur in mathematics.
Revolutions never occur in 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.
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?
The highest form of pure thought is in mathematics
The highest form of pure thought is in mathematics
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.
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 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.
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.
