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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.
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.
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, like a painter or a poet, is a maker of
patterns. If his patterns are more permanent read more
A mathematician, like a painter or a poet, is a maker of
patterns. If his patterns are more permanent than theirs, it is
because they are made with ideas.
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.
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.
Revolutions never occur in mathematics.
Revolutions never occur in mathematics.
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.
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?