Famous quotes containing the words inequality, arithmetic, geometric, means and/or proofs:
“A man willing to work, and unable to find work, is perhaps the saddest sight that fortune’s inequality exhibits under this sun.”
—Thomas Carlyle (1795–1881)
“Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build my arithmetic.... It is all the more serious since, with the loss of my rule V, not only the foundations of my arithmetic, but also the sole possible foundations of arithmetic seem to vanish.”
—Gottlob Frege (1848–1925)
“New York ... is a city of geometric heights, a petrified desert of grids and lattices, an inferno of greenish abstraction under a flat sky, a real Metropolis from which man is absent by his very accumulation.”
—Roland Barthes (1915–1980)
“Art is beauty, and every exposition of art, whether it be music, painting, or the drama, should be subservient to that one great end. As long as nature is a means to the attainment of beauty, so-called realism is necessary and permissable [sic], but it must be realism enhanced by idealism and uplifted by the spirit of an inner life or purpose.”
—Julia Marlowe (1866–1950)
“A man’s women folk, whatever their outward show of respect for his merit and authority, always regard him secretly as an ass, and with something akin to pity. His most gaudy sayings and doings seldom deceive them; they see the actual man within, and know him for a shallow and pathetic fellow. In this fact, perhaps, lies one of the best proofs of feminine intelligence, or, as the common phrase makes it, feminine intuition.”
—H.L. (Henry Lewis)