Descartesgave the first formulation of what is now known as of .

That does not really follow, but Descartes clearly thinks that it does and consequently doesn't otherwise provide any special separate proof for the existence of the soul.

RENÉ DESCARTES AND THE LEGACY OF MIND/BODY DUALISM

But Descartes was a great mathematician of enduring importance.

Thinking comes first, and for Descartes that is a real priority.

It is this: if the objective reality or perfection] of any one of my ideas be such as clearly to convince me, that this same reality exists in me neither formally nor eminently, and if, as follows from this, I myself cannot be the cause of it, it is a necessary consequence that I am not alone in the world, but that there is besides myself some other being who exists as the cause of that idea; while, on the contrary, if no such idea be found in my mind, I shall have no sufficient ground of assurance of the existence of any other being besides myself, for, after a most careful search, I have, up to this moment, been unable to discover any other ground.17.

That is the enduring question from Descartes: The Mind-Body Problem.

And although an idea may give rise to another idea, this regress cannot, nevertheless, be infinite; we must in the end reach a first idea, the cause of which is, as it were, the archetype in which all the reality or perfection] that is found objectively or by representation] in these ideas is contained formally and in act].

Descartes is also the person who began calling the square root of -1 (i.e.

Rene Descartes; Meditation III;

(However, M.I.T.'s Pantheon project, using the statistics ofon-line biographies, prepared a list of the Thirty-Five (or Eighty)Most Influential Persons in History; in addition to five (six) names alreadyon our list and Hart's -- Aristotle, Newton, Einstein, Galileo, Euclid (and Descartes) --their list includes four (seven) other mathematiciansmissing from Hart's list: Plato, Leonardo, Pythagoras, Archimedes(and Thales, Pascal, Ptolemy).

Descartes’ Famous Phrase: “I Think, Therefore I Am” | …

(Some believe that this effort inspiredDescartes' coordinate geometry and Galileo.)Oresme was aware of Gersonides' work on harmonic numbers and was amongthose who attempted to link music theory to the ratios of celestialorbits, writing "the heavens are like a man who sings a melody andat the same time dances, thus making music ...

Descartes’ Famous Phrase: “I Think, Therefore I ..

The argument of Descartes himself that the Demon cannot deceive us about our own existence (the ) is transformed by Hume and Kant into an argument that he cannot deceive us about the existence of external things.

Seeing Descartes as a mathematician explains why he was the kind of philosopher that he was.

"Gentleman, Soldier, and Mathematician: Descartes." Ch

At the end of the second mediation Descartes may reasonably be said to have proven his own existence, but the existence of the body or of any other external objects is left hanging.

The Rationalists, including Descartes, believed that  was the fundamental source of knowledge.

Analysis on Rene Descartes: The Nature of Reality

Descartes has an extremely high reputation and wouldbe ranked even higher by many list makers, but whatever hishistorical importance his mathematical skill was not in thetop rank.

Whitehead, Descartes, And the Bifurcation of Nature | …

(Some even suspect that Descartes arranged the destructionof Pascal's lost .)And Descartes made numerous errors in his development ofphysics, perhaps even delaying science,with Huygens writing "in all of [Descartes'] physics,I find almost nothing to which I can subscribe as being correct."Even the historical importance of his mathematicsmay be somewhat exaggerated since others, e.g.