Creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness.
The construction itself is an art, its application to the world an evil parasite.
A man should be learned in several sciences, and should have a reasonable, philosophical and in some measure a mathematical head, to be a complete and excellent poet.
Geometry is the right foundation of all painting.
Mighty is geometry; joined with art, resistless.
I am interested in mathematics only as a creative art.
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.
The art of doing mathematics consists in finding that special case which contains all the germs of generality.
The mathematician’s best work is art, a high perfect art, as daring as the most secret dreams of imagination, clear and limpid. Mathematical genius and artistic genius touch one another.
If all art aspires to the condition of music, all the sciences aspire to the condition of mathematics.