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.
Henri PoincareLater generations will regard Mengenlehre (set theory) as a disease from which one has recovered.
Henri PoincareA cat is witty, he has nerve, he knows how to do precisely the right thing at the right moment.
Henri PoincareFor a long time the objects that mathematicians dealt with were mostly ill-defined; one believed one knew them, but one represented them with the senses and imagination; but one had but a rough picture and not a precise idea on which reasoning could take hold.
Henri PoincareThought must never submit, neither to a dogma, nor to a party, nor to a passion, nor to an interest, nor to a preconceived idea, nor to whatever it may be, save to the facts themselves, because, for thought, submission would mean ceasing to be.
Henri PoincareThe scientist does not study nature because it is useful to do so. He studies it because he takes pleasure in it, and he takes pleasure in it because it is beautiful. If nature were not beautiful it would not be worth knowing, and life would not be worth living. I am not speaking, of course, of the beauty which strikes the senses, of the beauty of qualities and appearances. I am far from despising this, but it has nothing to do with science. What I mean is that more intimate beauty which comes from the harmonious order of its parts, and which a pure intelligence can grasp.
Henri Poincare