## Open Questions: Mathematical Quotations

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Many people who have never had occasion to learn what mathematics is
confuse it with arithmetic and consider it a dry and arid science. In
actual fact it is the science which demands the utmost imagination. One
of the foremost mathematicians of our century says very justly that it
is impossible to be a mathematician without also being a poet in
spirit... It seems to me that the poet must see what others do not see,
must see more deeply than other people. And the mathematician must do
the same.

**Sofya Kovalevskaya**, 1890

The mathematician does not dig for lost artifacts of a vanished
civilization but for the fundamental patterns that undergird the
universe, and like the archaeologist we usually find only small
fragments.

**David M. Bressoud**

Mathematics may be defined as the subject in which we never know what we
are talking about, nor whether what we are saying is true.

**Bertrand Russell**

Mathematics, rightly viewed, possesses not only truth, but supreme
beauty -- a beauty cold and austere, like that of sculpture, without
appeal to any part of our weaker nature, without the gorgeous trappings
of painting or music, yet sublimely pure, and capable of a stern
perfection such as only the greatest art can show. The true spirit of
delight, the exaltation, the sense of being more than Man, which is the
touchstone of the highest excellence, is to be found in mathematics as
surely as poetry.

**Bertrand Russell**

In mathematics you don't understand things. You just get used to them.

**John Von Neumann**

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