3 ideas
8972 | What in the real world could ground the distinction between the sets {A,{A,B}} and {B,{A,B}}? [Inwagen] |
Full Idea: Nothing in the world of nominalistically acceptable things could ground or explain the non-identity of the set {A,{A,B}} with the set {B,{A,B}}. | |
From: Peter van Inwagen (Existence,Ontological Commitment and Fictions [2003], p.154) | |
A reaction: [He cites Goodman for this thought] Van Inwagen is offering this to show that the existence of sets is abstract, whereas Goodman was denying the existence of sets altogether. I'm with Goodman. Nice example. |
21547 | On Meinong's principles 'the existent round square' has to exist [Russell] |
Full Idea: To my contention that, on his principles, 'the existent round square' exists, Meinong replies that it is existent but does not exist. I must confess that I see no difference between existing and being existent, and I have no more to say on this head. | |
From: Bertrand Russell (Review: Meinong 'Uber die Stellung...' [1907], p.93) | |
A reaction: Russell is obviously invoking the famously dubious ontological argument for God's existence. Normally impossible objects are rejected because of contradictions, but there might also be category mistakes. 'The slow square'. |
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? |