display all the ideas for this combination of philosophers
2 ideas
| 17319 | There are 'conceptual' explanations, with their direction depending on complexity [Schnieder] |
| Full Idea: The direction of conceptual explanations seems to be owed to factors of conceptual complexity and primitiveness. | |
| From: Benjamin Schnieder (Truth-making without Truth-makers [2006], p.33), quoted by David Liggins - Truth-makers and dependence 10.2 | |
| A reaction: Schnieder proposes that there are just 'causal' and 'conceptual' explanations. Liggins objects that there are other types of dependence which offer explanations. |
| 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. |