5 ideas
16643 | Accidents always remain suited to a subject [Bonaventura] |
Full Idea: An accident's aptitudinal relationship to a subject is essential, and this is never taken away from accidents….for it is true to say that they are suited to a subject. | |
From: Bonaventura (Commentary on Sentences [1252], IV.12.1.1.1c) | |
A reaction: This is the compromise view that allows accidents to be separated, for Transubstantiation, while acknowledging that we identify them with their subjects. |
16696 | Successive things reduce to permanent things [Bonaventura] |
Full Idea: Everything successive reduces to something permanent. | |
From: Bonaventura (Commentary on Sentences [1252], II.2.1.1.3 ad 5), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 18.2 | |
A reaction: Avicenna first took successive entities seriously, but Bonaventure and Aquinas seem to have rejected them, or given reductive accounts of them. It resembles modern actualists versus modal realists. |
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. |
9569 | The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus] |
Full Idea: It is unsurprising that geometry was discovered in the necessity of Nile land measurement, since everything in the world of generation goes from imperfection to perfection. They would naturally pass from sense-perception to calculation, and so to reason. | |
From: Proclus (Commentary on Euclid's 'Elements' [c.452]), quoted by Charles Chihara - A Structural Account of Mathematics 9.12 n55 | |
A reaction: The last sentence is the core of my view on abstraction, that it proceeds by moving through levels of abstraction, approaching more and more general truths. |
7901 | 'Buddha' just means a person who is fully enlightened about life [Conze] |
Full Idea: 'Buddha' is not the name of a person, but designates a type. 'Buddha' is Sanskrit for someone who is 'fully enlightened' about the nature and meaning of life. | |
From: Edward Conze (Intros to 'Buddhist Scriptures' [1959], Ch.1) | |
A reaction: There seems to be an unexplained rule that there is never more than one Buddha in any generation. This isn't controlled by gods, so I take it that everyone defers to the most enlightened one, even if they themselves are very advanced in enlightenment. |