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René Descartes

Meditations on First Philosophy

(1641) and

Principles of Philosophy

(1644), main works of French mathematician and scientist René Descartes, considered the father of analytic geometry and the founder of modern rationalism, include the famous dictum "I think, therefore I am."

A set of two perpendicular lines in a plane or three in space intersect at an origin in Cartesian coordinate system. Cartesian coordinate, a member of the set of numbers, distances, locates a point in this system. Cartesian coordinates describe all points of a Cartesian plane.

From given sets, {X} and {Y}, one can construct Cartesian product, a set of all pairs of elements (x, y), such that x belongs to {X} and y belongs to {Y}.

Cartesian philosophers include Antoine Arnauld.

René Descartes, a writer, highly influenced society. People continue to study closely his writings and subsequently responded in the west. He of the key figures in the revolution also apparently influenced the named coordinate system, used in planes and algebra.

Descartes frequently sets his views apart from those of his predecessors. In the opening section of the

Passions of the Soul

, a treatise on the early version of now commonly called emotions, he goes so far to assert that he writes on his topic "as if no one had written on these matters before." Many elements in late Aristotelianism, the revived Stoicism of the 16th century, or earlier like Saint Augustine of Hippo provide precedents. Naturally, he differs from the schools on two major points: He rejects corporeal substance into matter and form and any appeal to divine or natural ends in explaining natural phenomena. In his theology, he insists on the absolute freedom of act of creation of God.

Baruch Spinoza and Baron Gottfried Wilhelm von Leibniz later advocated Descartes, a major figure in 17th century Continent, and the empiricist school of thought, consisting of Thomas Hobbes, John Locke, George Berkeley, and David Hume, opposed him. Leibniz and Descartes, all well versed like Spinoza, contributed greatly. Descartes, the crucial bridge with algebra, invented the coordinate system and calculus. Reflections of Descartes on mind and mechanism began the strain of western thought; much later, the invention of the electronic computer and the possibility of machine intelligence impelled this thought, which blossomed into the Turing test and related thought. His stated most in §7 of part I and in part IV of

Discourse on the Method

.


“And, in fine, of false sciences I thought I knew the worth sufficiently to escape being deceived by the professions of an alchemist, the predictions of an astrologer, the impostures of a magician, or by the artifices and boasting of any of those who profess to know things of which they are ignorant.”
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“Con frecuencia una falsa alegría vale más que una tristeza cuya causa es verdadera.”
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“Whatever I have up till now accepted as most true and assured I have gotten either from the senses or through the senses. But from time to time I have found that the senses deceive, and it is prudent never to trust completely those who have deceived us even once.”
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“Je pense donc je suis”
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“[...] the diversity of our opinions, consequently, does not arise from some being endowed with a larger share of reason than others, but solely from this, that we conduct our thoughts along different ways, and do not fix our attention on the same objects. For to be possessed of a vigorous mind is not enough; the prime requisite is rightly to apply it. The greatest minds, as they are capable of the highest excellences, are open likewise to the greatest aberrations; and those who travel very slowly may yet make far greater progress, provided they keep always to the straight road, than those who, while they run, forsake it.”
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“Common sense is the best distributed commodity in the world, for every man is convinced that he is well supplied with it.”
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“So blind is the curiosity by which mortals are possessed, that they often conduct their minds along unexplored routes, having no reason to hope for success, but merely being willing to risk the experiment of finding whether the truth they seek lies there.”
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“Good sense is of all things in the world the most equally distributed, for everybody thinks he is so well supplied with it that even those most difficult to please in all other matters never desire more of it than they already possess.”
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“They do everything in their power to make fortune favor them in this life, but nevertheless they think so little of it, in relation to eternity, that they view the events of the world as we do those of a play.”
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“It is thus quite certain that the constitution of the true religion, the ordinances of which are derived from God, must be incomparably superior to that of every other.”
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“Divide each difficulty into as many parts as is feasible and necessary to resolve it.”
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“And what more am I? I look for aid to the imagination. [But how mistakenly!] I am not that assemblage of limbs we call the human body; I am not a subtle penetrating air distributed throughout all these members; I am not a wind, a fire, a vapor, a breath or anything at all that I can image. I am supposing all these things to be nothing. Yet I find, while so doing, that I am still assured that I am a something.”
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“philosophes qui ont pu autrefois se soustraire de l'empire de la fortune, et, malgré les douleurs et la pauvreté, disputer de la félicité avec leurs dieux. Car s'occupant sans cesse à considérer les bornes qui leur étaient prescrites par la nature, ils se persuadaient si parfaitement que rien n'était en leur pouvoir que leurs pensées, que cela seul était suffisant pour les empêcher d'avoir aucune affection pour d'autres choses; et ils disposaient d'elles si absolument qu'ils avaient en cela quelque raison de s'estimer plus riches, et plus puissants, et plus libres, et plus heureux qu'aucun des autres hommes, qui, n'ayant point cette philosophie, tant favorisés de la nature et de la fortune qu'ils puissent être, ne disposent jamais ainsi de tout ce qu'ils veulent. (partie 3, para 4)”
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“c'est une vérité très certaine que, lorsqu'il n'est pas en notre pouvoir de discerner les plus vraies opinions, nous devons suivre les plus probablespartie 3, para 3)”
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“entre plusieurs opinions également reçues, je ne choisissais que les plus modérées, tant à cause que ce sont toujours les plus commodes pour la pratique, et vraisemblablement les meilleures, tous excès ayant coutume d'être mauvais, comme aussi afin de me détourner moins du vrai chemin, en cas que je faillisse, que si, ayant choisi l'un des extrêmes, c'eût été l'autre qu'il fallu suivre. (3e partie, para 2)”
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“J'ai été nourri aux lettres dès mon enfance, et pour ce qu'on me persuadait que par leur moyen on pouvait acquérir une connaissance claire et assurée de tout ce qui est utile à la vie, j'avais un extrême désir de les apprendre. Mais sitôt que j'eus achevé tout ce cours d'études au bout duquel on a coutume d'être reçu au rang des doctes, je changeai entièrement d'opinion. Car je me trouvais embarassé de tant de doutes et d'erreurs qu'il me semblait n'avoir fait autre profit en tachant de m'instruire, sinon que j'avais découvert de plus en plus mon ignorance. (1ere partie, para 6)”
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“Il est bon de savoir quelque chose des moeurs de divers peuples, afin de juger des notres plus sainement et que nous ne pensions pas que tout ce qui est contre nos modes soit ridicule et contre raison, ainsi qu'ont coutume de faire ceux qui n'ont rien vu; mais lorsqu'on emploie trop de temps à voyager on devient enfin étranger en son pays; et lorsqu'on est trop curieux des choses qui se pratiquaient aux siècles passés, on demeure ordinairement fort ignorant de celles qui se pratiquent en celui-ci.”
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“It is not enough to have a good mind. The main thing is to use it well.”
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“Whence then come my errors? They come from the sole fact that since the will is much wider in its range and compass than the understanding, I do not restrain it within the same bounds, but extend it also to things which I do not understand: and as the will is of itself indifferent to these, it easily falls into error and sin, and chooses the evil for the good, or the false for the true.”
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“Of all things, good sense is the most fairly distributed: everyone thinks he is so well supplied with it that even those who are the hardest to satisfy in every other respect never desire more of it than they already have.”
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“The reading of all good books is indeed like a conversation with the noblest men of past centuries who were the authors of them, nay a carefully studied conversation, in which they reveal to us none but the best of their thoughts.”
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“It is best not to go on for great quest for truth , it will only make you miserable”
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“I am thing that thinks: that is, a things that doubts,affirms, denies, understands a few things, is ignorant of many things, is willing, is unwilling, and also which imagines and has sensory perceptions.”
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“I had become aware, as early as my college days, that no opinion, however absurd and incredible can be imagined, that has not been held by one of the philosophers.”
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“Some years ago I was struck by the large number of falsehoods that I had accepted as true in my childhood, and by the highly doubtful nature of the whole edifice that I had subsequently based on them. I realized that it was necessary, once in the course of my life, to demolish everything completely and start again right from the foundations if I wanted to establish anything at all in the sciences that was stable and likely to last.”
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“Nothing is more fairly distributed than common sense: no one thinks he needs more of it than he already has.”
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“This result could have been achieved either by his [God] endowing my intellect with a clear and distinct perception of everything about which I would ever deliberate, or simply by impressing the following rule so firmly upon my memory that I could never forget it: I should never judge anything that I do not clearly and distinctly understand.”
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“Bad books engender bad habits, but bad habits engender good books.”
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“The last rule was to make enumerations so complete, and reviews so comprehensive, that I should be certain of omitting nothing.”
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“Good sense is, of all things among men, the most equally distributed; for every one thinks himself so abundantly provided with it, that those even who are the most difficult to satisfy in everything else, do not usually desire a larger measure of this quality than they already possess.”
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“I doubt, therefore I think, therefore I am.”
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“It is only prudent never to place complete confidence in that by which we have even once been deceived.”
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“The first precept was never to accept a thing as true until I knew it as such without a single doubt.”
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“I think; therefore I am.”
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“Just as faith teaches us that the sovereign felicity of the other life consists in the contemplation of the divine majesty alone, so even now we can learn from experience that a similar meditation, although incomparably less perfect, allows us to enjoy the greatest happiness we are capable of feeling in this life.”
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“For I found myself embarrassed with so many doubts and errors that it seemed to me that the effort to instruct myself had no effect other than the increasing discovery of my own ignorance”
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“By 'God', I understand, a substance which is infinite, independent, supremely intelligent, supremely powerful, and which created both myself and everything else […] that exists. All these attributes are such that, the more carefully I concentrate on them, the less possible it seems that they could have originated from me alone. So, from what has been said it must be concluded that God necessarily exists”
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“In order to seek truth, it is necessary once in the course of our life to doubt, as far as possible, of all things.”
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“At last I will devote myself sincerely and without reservation to the general demolition of my opinions.”
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“Le bon sens est la chose du monde la mieux partagée : car chacun pense en être si bien pourvu, que ceux même qui sont les plus difficiles à contenter en toute autre chose, n'ont point coutume d'en désirer plus qu'ils en ont.”
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“With me, everything turns into mathematics.”
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“‎"Não há nada que dominemos inteiramente a nao ser os nossos pensamentos.”
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“He who hid well, lived well.”
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“There is nothing more ancient than the truth.”
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“Dubium sapientiae initium. (Doubt is the origin of wisdom.)”
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“La lecture de tous les bons livres est comme une conversation avec les plus honnêtes gens des siècles passés.”
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“I am accustomed to sleep and in my dreams to imagine the same things that lunatics imagine when awake.”
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“I suppose therefore that all things I see are illusions; I believe that nothing has ever existed of everything my lying memory tells me. I think I have no senses. I believe that body, shape, extension, motion, location are functions. What is there then that can be taken as true? Perhaps only this one thing, that nothing at all is certain.”
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“To live without philosophizing is in truth the same as keeping the eyes closed without attempting to open them.”
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“Doubt is the origin of wisdom”
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