Friday, April 18, 2008

Mathematical Sciences and Truth - Hume

"The great advantage of the mathematical sciences above the moral consists in this, that the ideas of the former, being sensible, are always clear and determinate, the smallest distinction between them is immediately perceptible, and the same terms are still expressive of the same ideas, without ambiguity or variation. An oval is never mistaken for a circle, nor an hyperbola for an ellipsis."

This makes me think of Descartes and how he talked about the same thing.  Math has one answer and we know that is the truth.  In geometry an acute angle is always less then 90 degrees.  One day it will not suddenly change, it will always be that way.  Descartes and Hume's are very similar throughout the book.  They both need the full truth in order to believe it.  Math has steps in how they get the solution.  It shows the evidence and there is a way you can check your answer at the end.  Math is like what Hume was talking about with cause and effect.

1 comment:

Rob Blank said...

i agree with HUMES discussion on math and sciences. This information he gives is true becasue it flat out is true. Math is the way it is for a reason and that is so it not can be argued just solved...