3 ideas
| 8693 | An 'abstraction principle' says two things are identical if they are 'equivalent' in some respect [Boolos] |
| Full Idea: Hume's Principle has a structure Boolos calls an 'abstraction principle'. Within the scope of two universal quantifiers, a biconditional connects an identity between two things and an equivalence relation. It says we don't care about other differences. | |
| From: George Boolos (Is Hume's Principle analytic? [1997]), quoted by Michèle Friend - Introducing the Philosophy of Mathematics 3.7 | |
| A reaction: This seems to be the traditional principle of abstraction by ignoring some properties, but dressed up in the clothes of formal logic. Frege tries to eliminate psychology, but Boolos implies that what we 'care about' is relevant. |
| 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? |
| 7811 | Sophoclean heroes die terrible deaths when they oppose the new Athenian values [Sophocles, by Grayling] |
| Full Idea: Sophocles has Ajax (in 'Ajax') and Hercules (in 'Trachiniae') die terrible deaths because of the opposition they represent to the values which are the new values of Periclean Athens. | |
| From: report of Sophocles (Women of Trachis [c.430 BCE]) by A.C. Grayling - What is Good? Ch.2 | |
| A reaction: Presumably they are tragic heroes, who hence invite our sympathy, like Othello and Hamlet, who also die following an older moral code. It is only tragic if the code they follow has something 'higher' about it. |