"Mathematics is the science which draws necessary conclusions."

"Benjamin Peirce deserves recognition, not only as a founding father of American mathematics, but also as a founding f…"

"Ideality is preëminently the foundation of Mathematics."

"It is not given to us — it is given to but few men of any generation — to roam those Alpine solitudes of science to w…"

"Geometry, to which I have devoted my life, is honoured with the title of the Key of Sciences; but it is the Key of an…"

"The Key! it is of wonderful construction, with its infinity of combination, and its unlimited capacity to fit every l…"

"Ascend with me above the dust, above the cloud, to the realms of the higher geometry, where the heavens are never clo…"

"Descend from the infinite to the infinitesimal. Long before . . . observation had begun to penetrate the veil under w…"

"Throughout nature the omnipresent beautiful revealed an all-pervading language spoken to the human mind, and to man's…"

"Gentlemen, that is surely true, it is absolutely paradoxical; we cannot understand it, and we don't know what it mean…"