Overview of Descartes' doubt and the three Axioms

Overview of Descartes' doubt and the three Axioms

Renee Descartes is possibly one of the most renowned philosophers in history, earning a name second only to perhaps Aristotles.
This name, however, is whispered as both a blessing and a curse depending on the man. This, odd duality comes from the fact that, in a certain way, Descartes managed to both introduce his famous Cartesian doubt, an utter display of skepticism, and then partially deny it.

You see, Renee, may be most known for his awing quote "Cogito ergo sum" (Term he, himself is believed to disliked the use of, mostly due to the word "ergo", which has lead to certain confusion and misinterpretations) , yet among scientific studies, it was the Cartesian doubt that marked his name and fame. The method of doubt does not require much to explain: "doubt everything, all is a lie unless proven otherwise". Yes, indeed anyone with scientific prowess (Or indeed a law suit) has heard of these words, this postulate. This method consisted of:
-intuition, which is the basic apprehension of a simple and unquestionable notion
-deduction, which is the development of these intuitions into their necessary consequences.
In a basic sense, Descartes, was a rationalist, he believed that one would not need to leave his armchair in order to know all that can be known in the world, as long as he possessed initial knowledge, the aforementioned "intuition".
Cartesian doubt is hyperbolic, by other words, absolute, extremist, nothing is clear of it., it is universal, as it matters not only to an idea, but its' roots as well. However, it is also methodical, for doubt itself is not what Descartes seeks, Descartes seeks certainty, as his mathematical mind prefers it, and that is the only reason for this doubt to exist to begin with, doubt should never be anything other than a means towards truth.
However, there is one more obstacle in front of Descartes in his journey: How will he know anything, if there is the possibility of a demon, a malevolent trickster god,...

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