Descartes Quotes - page 3
Isaac Newton deserves to be included in a series of companions to major philosophers even though he was not a philosopher in the sense in which Descartes, Locke, and Kant were philosophers. That is, Newton made no direct contributions to epistemology or metaphysics that would warrant his inclusion in the standard list of major philosophers of the seventeenth and eighteenth centuries – Descartes, Spinoza, Locke, Leibniz, Berkeley, Hume, and Kant – or even in a list of other significant philosophers of the era – Bacon, Hobbes, Arnauld, Malebranche, Wolff, and Reid. The contributions to knowledge that made Newton a dominant figure of the last millennium were to science, not to philosophy.
I. Bernard Cohen
The physicists of Gilbert's time had recourse to mechanism infrequently, and its effective explanations touched only a few disconnected phenomena. The virtuosity, inventiveness, and optimism of Descartes, however, and the counter-example of latter- day hermetists like Robert Fludd, persuaded many that mechanical models offered the only hope for a precise and comprehensible physics. Expectations rose. Physicists demanded more from models, perhaps even a complete fit with phenomena, with little or no negative analogy.
Gilbert's countrymen, S. J., 'a veritable giant in science' and a liberal and candid physicist whenever his Society's obligation to combat Copernicans did interfer.
John L. Heilbron
As for negative numbers... most mathematicians of the sixteenth and seventeenth centuries did not accept them... In the fifteenth century Nicolas Chuquet and, in the sixteenth, Stifel both spoke of negative numbers as absurd numbers. ...Descartes accepted them, in part. ...he had shown that, given an equation, one can obtain another whose roots are larger than the original one by any given quantity. Thus an equation with negative roots could be transformed into one with positive roots. Since we can turn false roots into real roots, Descartes was willing to accept negative numbers. Pascal regarded the subtraction of 4 from zero as utter nonsense.
Morris Kline
The famous sixteenth-century algebraist Jerome Cardan called negative roots fictitious, and the founder of modern symbolic algebra, François Viète, discarded negative roots entirely. Descartes, called them false on the ground that they represented numbers less than nothing and so were meaningless.
Morris Kline
Descartes... complained that Greek geometry was so much tied to figures "that is can exercise the understanding only on condition of greatly fatiguing the imagination." Descartes also deplored that the methods of Euclidean geometry were exceedingly diverse and specialized and did not allow for general applicability. Each theorem required a new kind of proof... What impressed Descartes especially was that algebra enables man to reason efficiently. It mechanizes thought, and hence produces almost automatically results that may otherwise be difficult to establish.... historically it was Descartes who clearly perceived and called attention to this feature. Whereas geometry contained the truth about the universe, algebra offered the science of method. It is... paradoxical that great thinkers should be enamored with ideas that mechanize thought. Of course, their goal is to get at more difficult problems, as indeed they do.
Morris Kline
Rats and mice are not generally regarded as pets, but as pests; they have few defenders. Yet the pain a rat or a mouse feels is every bit as real as that of any pet. In laboratories, they suffer, as anybody who has heard them moan, cry, whimper and even scream knows. The experimenters dissimulate about this by insisting that they are merely vocalising. Descartes lives on.
Jeffrey Moussaieff Masson
Hegel's lack of charity toward the instrument metaphor is not arbitrary. It represents his disenchantment with the assumption that knowledge is power and that method is the means to this end. ... Descartes' conception of method, like Bacon's, is linked to this idea of knowledge as an instrument of power. ... The same could be said of Locke. Hegel can rightly claim that the instrument metaphor pervades the epistemological tradition he is seeking to transcend.
Merold Westphal
The geometrical spirit is not so tied to geometry that it cannot be detached from it and transported to other branches of knowledge. A work of morals or politics or criticism, perhaps even of eloquence, would be better (other things being equal) if it were done in the style of a geometer. The order, clarity, precision and exactitude which have been apparent in good books for some time might well have their source in this geometric spirit. ...Sometimes one great man gives the tone to a whole century; [Descartes], to whom one might legitimately be accorded the glory of having established a new art of reasoning, was an excellent geometer.
Bernard Le Bovier de Fontenelle
2. We are equally the contemporaries of a second epoch of the doctrine of the Subject. It is no longer the founding subject, centered and reflexive, whose theme runs from Descartes to Hegel and which remains legible in Marx and Freud (in fact, in Husserl and Sartre). The contemporary Subject is void, cleaved, a s-substantial, and ir-reflexive. More over, one can only suppose its existence in the context of particular processes whose conditions are rigorous.
Alain Badiou
If Descartes' main aspirations are directed towards a "first truth,” it follows necessarily that the sphere of pure possibilities, and with it the sphere of "probability,” is excluded from philosophy. Thus Descartes ignores, for example, both the art of rhetoric and history, as fields in which "the probable,” rather than the truth prevails.
Ernesto Grassi
must we not say that it is part of the deep sickness of our culture that ever since Descartes, we have been seduced by the idea of a kind of knowledge which could not be doubted, in which we would be absolutely secure from personal risk? And has not this seduction taken two forms which, even if they disclaim all relationship with each other, are really twin brothers? One is biblical fundamentalism which supposes that adherence to the text of the Bible frees me from the risk of error and therefore gives me a security which does not depend on my own discernment of the truth. The other is a type of scientism which supposes that science is simply a transcript of reality, of the "facts" which simply have to be accepted and call for no personal decision on my part, a kind of knowledge which is "objective" and free from all the bias of subjectivity.
Lesslie Newbigin
The idea that consciousness is a mystery is a prejudice inherited from monotheism. The early seventeenth-century French philosopher René Descartes believed that animals other than humans are insensate machines. Obviously, this was a restatement in rationalist terms of the Christian belief that only humans have souls. Even if mind and matter were categorically distinct, that would not mean humans alone have minds. It was reported that in order to test his theories, Descartes used to throw animals out of the window and observe their reactions. Looking at behaviour of this kind, one might reasonably conclude that humans are the senseless machines.
John N. Gray