display all the ideas for this combination of philosophers
2 ideas
13165 | Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus] |
Full Idea: Geometry does not ask 'why?' ..When from the exterior angle equalling two opposite interior angles it is shown that the interior angles make two right angles, this is not a causal demonstration. With no exterior angle they still equal two right angles. | |
From: Proclus (Commentary on Euclid's 'Elements' [c.452], p.161-2), quoted by Paolo Mancosu - Explanation in Mathematics §5 | |
A reaction: A very nice example. It is hard to imagine how one might demonstrate the cause of the angles making two right angles. If you walk, turn left x°, then turn left y°, then turn left z°, and x+y+z=180°, you end up going in the original direction. |
2396 | Reductive explanation is not the be-all and the end-all of explanation [Chalmers] |
Full Idea: Reductive explanation is not the be-all and the end-all of explanation. | |
From: David J.Chalmers (The Conscious Mind [1996], 1.2.2) |