Unfortunately for Pythagoras, his theorem led at once to the discovery of incommensurables , which appeared to disprove his whole philosophy. So long as no adequate arithmetical theory on incommensurables existed, the method of Euclid was the best that was possible in geometry. When Descartes introduced co-ordinate geometry, thereby again making arithmetic supreme, he [Descartes] assumed the possibility of a solution of the problem of incommensurables, though in his day no such solution had been found.
After Bruno's death, during the first half of the seventeenth century, Descartes seemed about to take the leadership of human thought... in promoting an evolution doctrine as regards the mechanical formation of the solar system... but his constant dread of persecution, both from Catholics and Protestants, led him steadily to veil his thoughts and even to suppress them. ...Since Roger Bacon, perhaps, no great thinker had been so completely abased and thwarted by theological oppression.roger bacon
My main professional interest during the 1970s has been in the dramatic change of concepts and ideas that has occurred in physics during the first three decades of the century, and that is still being elaborated in our current theories of matter. The new concepts in physics have brought about a profound change in our world view; from the mechanistic conception of Descartes and Newton to a holistic and ecological view, a view which I have found to be similar to the views of mystics of all ages and traditions.fritjof capra
The ‘I think, therefore I am’ of Descartes, the ‘I feel, therefore I am’ of late eighteenth century Romanticism, and the ‘I possess therefore I am’ of bourgeois man are dogmas, partial at that, incorporated to define a being that is incapable of defining itself.john carroll
Doubting the great Descartes ... was a reaction I learned from my father: Have no respect whatsoever for authority ; forget who said it and instead look what he starts with, where he ends up, and ask yourself, "Is it reasonable?"richard feynman
Philosophers have always tried to show that we are not like other animals, sniffing their way uncertainly through the world. Yet after all the work of Plato and Spinoza , Descartes and Bertrand Russell we have no more reason than other animals do for believing that the sun will rise tomorrow.john n. gray
Descartes is rightly regarded as the father of modern philosophy primarily and generally because he helped the faculty of reason to stand on its own feet by teaching men to use their brains in place whereof the Bible, on the one hand, and Aristotle, on the other, had previously served.Arthur Schopenhauer
"There is one basis of science," says Descartes , "one test and rule of truth, namely, that whatever is clearly and distinctly conceived is true." A profound psychological mistake. It is true only of formal logic, wherein the mind never quits the sphere of its first assumptions to pass out into the sphere of real existences; no sooner does the mind pass from the internal order to the external order, than the necessity of verifying the strict correspondence between the two becomes absolute. The Ideal Test must be supplemented by the Real Test, to suit the new conditions of the problem.george henry lewes
After Bruno's death, during the first half of the seventeenth century, Descartes seemed about to take the leadership of human thought... in promoting an evolution doctrine as regards the mechanical formation of the solar system... but his constant dread of persecution, both from Catholics and Protestants, led him steadily to veil his thoughts and even to suppress them. ...Since Roger Bacon, perhaps, no great thinker had been so completely abased and thwarted by theological oppression.Andrew Dickson White
[Malebranche] teaches that we see all things in God himself. This is certainly equivalent to explaining something unknown by something even more unknown. Moreover, according to him, we see not only all things in God, but God is also the sole activity therein, so that physical causes are so only apparently; they are merely occasional causes. ( Recherches de la vérité , Livre VI, seconde partie, chap. 3.) And so here we have essentially the pantheism of Spinoza who appears to have learned more from Malebranche than from Descartes.Arthur Schopenhauer
For intellectual authority, the appropriate version of Descartes 's cogito would be today: I am talked about, therefore I am.zygmunt bauman
The first idea was not our own. Adam In Eden was the father of Descartes And eve made air the mirror of herself, Of her sons and of her daughters.wallace stevens
In one place revolutionary philosophers went on strike because they got a reading list including Plato, Descartes and other bourgeois idiots, instead of relevant great philosophers like Che Guevara and Mao.
Ever since Plato most philosophers have considered it part of their business to produce ‘proofs’ of immortality and the existence of God . They have found fault with the proofs of their predecessors Saint Thomas rejected Saint Anselm's proofs, and Kant rejected Descartes ' but they have supplied new ones of their own. In order to make their proofs seem valid, they have had to falsify logic , to make mathematics mystical , and to pretend that deep seated prejudices were heaven-sent intuitions .