3 ideas
8249 | Class membership is not transitive, unlike being part of a part of the whole [Lesniewski, by George/Van Evra] |
Full Idea: Lesniewski distinguished the part-whole relationship from class membership. Membership is not transitive: if s is an element of t, and t of u, then s is not an element of u, whereas a part of a part is a part of the whole. | |
From: report of Stanislaw Lesniewski (works [1916]) by George / Van Evra - The Rise of Modern Logic 7 | |
A reaction: If I am a member of a sports club, and my club is a member of the league, I am not thereby a member of the league (so clubs are classes, not wholes). This distinction is clearly fairly crucial in ontology. |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |
5990 | Theophrastus doubted whether nature could be explained teleologically [Theophrastus, by Gottschalk] |
Full Idea: Theophrastus questioned Aristotle's teaching on the extent to which teleological explanations could be applied to the natural world. | |
From: report of Theophrastus (On Metaphysics (frags) [c.320 BCE]) by H.B. Gottschalk - Aristotelianism | |
A reaction: It is interesting to see that Aristotle's own immediate successor had doubts about teleology. We usually assume that the ancients were teleological, and this was rejected in the seventeenth century (e.g. Idea 4826). |