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Descarte was an inventive mathematician but a poor philosopher. Sorry. There are numerous problems with Descarte's "Meditations..." and this is no secret among modern philosophy PhDs'. My intro to philosophy class outlined these things.
Gotta disagree here, John. Descartes was a very fine philosopher indeed. That there are problems in his work is no surprise - there are significant problems in the work of every significant philosopher I can think of.
Most telling is that 350 years after his death he is still essential reading. Up until Descartes no one except Bacon had really thought about method - and Baconian method was primarily empirical. Descartes genius was the application of methodology to epistomology. Sure he had problems with it, but his work is elegant and insightful.
The notion that there Descartes prejudges his conclusions in the cogito is one of those old chestnuts that every philosophy undergrad discovers and thinks they are a genius - like "all statements of truth are tautologies."
It is, of course, correct to point out that Descartes assumes that thinking predicates a mind. In so far as this is all you would say, I couldn't agree more. But don't use that to disparage Descartes. It took another towering genius, Hume, to actually make much progress on this, even though Arnauld, Mersenne and others pointed out difficulties in Descartes work. But the body of his work, in its methods if not in its conclusions, still remains one of the most significant contributions to western philosophy, especially in the areas of the mind-body problem, and the role of doubt in the theory of knowledge.