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Divide each difficulty at hand into as many pieces as possible and as could be required to better solve them.

Rene Descartes

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Rene Descartes
Age: 53 †
Born: 1596
Born: March 31
Died: 1650
Died: February 11
Astronomer
Correspondent
Mathematician
Mechanical Automaton Engineer
Military Personnel
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Musicologist
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La Haye en Touraine
Descartes
Cartesius
Renatus Cartesius
Pieces
Hand
Possible
Hands
Divide
Better
Divides
Many
Required
Solve
Difficulty

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Nothing comes out of nothing.
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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 th eincreasing discovery of my own ignorance
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Thus each truth discovered was a rule available in the discovery of subsequent ones.
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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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On the one hand I have a clear and distinct idea of myself, in so far as I am a thinking, non-extended thing and on the other hand I have a distinct idea of body, in so far a this is simply an extended, non-thinking thing. And, accordingly, it is certain that I am really distinct from my body, and exist without it.
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Even if I were to suppose that I was dreaming and whatever I saw or imagined was false, yet I could not deny that ideas were truly in my mind.
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Hence reason also demands that, since our thoughts cannot all be true because we are not wholly perfect, what truth they do possess must inevitably be found in the thoughts we have when awake, rather than in our dreams.
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Everything is self-evident.
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Omnia apud me mathematica fiunt.
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Perfect numbers like perfect men are very rare.
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The only secure knowledge is that I exist.
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We never understand a thing so well,and make it our own, as when we have discovered it for ourselves.
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Everybody thinks himself so well supplied with common sense that even those most difficult to please. . . never desire more of it than they already have.
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Variant: When it is not in our power to follow what is true, we ought to follow what is most probable.
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Each problem that I solved became a rule, which served afterwards to solve other problems.
Rene Descartes
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God alone is the author of all the motions in the world.
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Intuitive knowledge is an illumination of the soul, whereby it beholds in the light of God those things which it pleases Him to reveal to us by a direct impression of divine clearness.
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It is contrary to reasoning to say that there is a vacuum or space in which there is absolutely nothing.
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He who hid well, lived well.
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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.
Rene Descartes