Discourse On Method – the method described by Descartes replaced the traditional techniques that came from Aristotle. Taught to differentiate our perceptions and realities that cause them.
Developed rules for deductive reasoning
Discovered how to plot points on a Cartesian plane
Invented analytic geometry – made connections between geometry and algebra, which allowed for the solving of geometrical problems using algebraic equations.
Considered the father of modern philosophy
Endeavor always to conquer myself rather than fortune,
and change my desires rather than the order of the world
Accustom myself to the persuasion that,
except our own thoughts,
there is nothing absolutely in our power.
Because some men err in reasoning,
and fall into paralogisms,
even on the simplest matters of geometry,
I, convinced that I was as open to error as any other,
rejected as false all the reasonings I had hitherto taken
I think, therefore I am
COGITO ERGO SUM
The first was never to accept anything for true which I did not clearly know to be such;
that is to say, carefully to avoid precipitancy and prejudice
The second, to divide each of the difficulties under examination into as many parts as possible, and as might be necessary for its adequate solution.
The third, to conduct my thoughts in such order that, by commencing with objects the simplest and easiest to know, I might ascend by little and little, and, as it were, step by step, to the knowledge of the more complex
And the last, in every case to make enumerations so complete and reviews so general, that I might be assured that nothing was omitted.
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