Thus metaphysics and mathematics are, among all the sciences that belong to reason, those in which imagination has the greatest role. I beg pardon of those delicate spirits who are detractors of mathematics for saying this . . . . The imagination in a mathematician who creates makes no less difference than in a poet who invents. . . . Of all the great men of antiquity, Archimedes may be the one who most deserves to be placed beside Homer.
Jean le Rond d'AlembertThere are only two kinds of certain knowledge: Awareness of our own existence and the truths of mathematics.
Jean le Rond d'AlembertIn England it was enough that Newton was the greatest mathematican of his century; in France he would have been expected to be agreeable too.
Jean le Rond d'Alembert