All Questions
Tagged with descartes philosophy-of-mathematics
7
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How did Descartes made a logical skeptic argument against logic, without falling into a paradox, in his Metaphysical Meditations? Is it actually valid
René Descartes seems to have made some arguments against logic and mathematics in his Metaphysical Meditations, however it seems that these arguments are still logical, and the problem is whether that ...
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Large cardinals and in intellectu existence?
I have had some success in the philosophy of mathematics. Briefly I compare Cantor's sets to the clear and distinct ideas of Descartes which is regarded as philosophically rigorous work; on the other ...
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Did Descartes believe arguments for Euclid's parallel postulate were cogent?
If Descartes wanted to found philosophy on the certainty of mathematics, it seems he must have considered arguments for Euclid's parallel postulate cogent, or at least not doubted them.
Gerolamo ...
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Mathematics and René Descartes
Why are axioms of mathematics not recognized by René Descartes?
How can they be untrue? Can we not treat them as basics which are absolute and build upon them?
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Descartes' Enlargement or Limitation of Cognition?
Descartes gives the metaphysical implications of freedom of the will as it relates to the power of cognition. This involves the function of judgement in its natural character and representational ...
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"Because if you doubt that you're doubting, you're still doubting" - What is the analogous mathematical/logical expression to this sentence?
In an answer here, the following was stated:
The essence of his [Descartes] argument is that you can doubt almost everything about the world, but you can't doubt that you're doubting. Because if ...
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Has there been a Cartesian revolution in mathematics?
In his book "Méthodes modernes en géométrie", Jean Fresnel wrote:
il ne faut pas se faire d'illusions, Descartes résout des problème de géométrie,
non parce qu'il a de la méthode, mais parce qu'...
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