Henri Poincare Math Quotations

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.

Mathematics is the art of giving the same name to different things.

Geometry is the art of correct reasoning from incorrectly drawn figures.

There are no solved problems; there are only problems that are more or less solved.

...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling, which all mathematicians know

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].

[T]he different branches of Arithmetic - Ambition [G]eometry is not true, it is advantageous.