Quotations by Carl Friedrich Gauss
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Mathematics is the queen of the sciences and number theory is the queen of mathematics.

The total number of Dirichlet's publications is not large: jewels are not weighed on a grocery scale.

Mathematical discoveries, like springtime violets in the woods, have their season which no human can hasten or retard.

Quotations by Henri Poincaré
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Mathematicians are born, not made.

Mathematics is the art of giving the same name to different things.
[as opposed to the quotation: poetry is the art of giving different names to the same thing].

The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living. Of course I do not here speak of that beauty that strikes the senses, the beauty of qualities and appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmonious order of the parts, and which a pure intelligence can grasp.