Descartes Reading Guide
29. In what 2 different ways does Descartes think his knowledge about geometry (e.g. triangles) can not come? (Recall Question 16.) Why? What does Descartes think about his knowledge of mathematics because of this?
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Class Responses and Instructor Comments
>From anna grier: Descartes
knowledge of geometry comes from thought and ideas, knowledge from God.
His ideas about triangles and geometry are innate and the intellect
operates in such a way that he can recall whatever he needs to know
at will. His clear and distinct understanding of things allows him to
match his idea to what it belongs to. >rm says: You have the last part of the question right, but his argument is actually a proof by cases. All ideas must come in one of three ways (See Q16). Here, I'm asking why mathematics can not come in either of the other two ways. This is an important argument.
Does this question have to do with ideas that are innnate, from sensory, or produced by me? The knowledge of mathematics because of that are "clear" and "distinct"?
>rm says: Yes, see above.
>From EDDIE: THE 2 DIFFERENT WAYS DESCARTES' KNOWLEDGE OF GEOMETRY COULD NOT COME FROM IS INTERNALLY (PRODUCED BY ME) AND COULD NOT COME FROM SENSES (AQUIRED) IT COULD ONLY COME FROM REASONING (INNATE). THE REASON FOR THIS IS BECAUSE HE HAS KNOWLEDGE OF THESE THINGS DISTINCTIVELY AND CLEARLY. DESCARTES BELIEVE THAT MATHEMATICS IS TRUE BECAUSE OF THIS.
>rm
says: This is good for the first part of the question (and for the third
part), but we still need the arguments for why mathematical knowledge
can not be acquired nor invented. |
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