Famous quotes containing the words mathematical, objects and/or exist:
“As we speak of poetical beauty, so ought we to speak of mathematical beauty and medical beauty. But we do not do so; and that reason is that we know well what is the object of mathematics, and that it consists in proofs, and what is the object of medicine, and that it consists in healing. But we do not know in what grace consists, which is the object of poetry.”
—Blaise Pascal (16231662)
“I think of consciousness as a bottomless lake, whose waters seem transparent, yet into which we can clearly see but a little way. But in this water there are countless objects at different depths; and certain influences will give certain kinds of those objects an upward influence which may be intense enough and continue long enough to bring them into the upper visible layer. After the impulse ceases they commence to sink downwards.”
—Charles Sanders Peirce (18391914)
“Woman ... cannot be content with health and agility: she must make exorbitant efforts to appear something that never could exist without a diligent perversion of nature. Is it too much to ask that women be spared the daily struggle for superhuman beauty in order to offer it to the caresses of a subhumanly ugly mate?”
—Germaine Greer (b. 1939)