3 ideas
| 15897 | Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine] |
| Full Idea: Zermelo realised that the Axiom of Choice (based on arbitrary functions) could be used to 'count', in the Cantorian sense, those collections that had given Cantor so much trouble, which restored a certain unity to set theory. | |
| From: report of Ernst Zermelo (Proof that every set can be well-ordered [1904]) by Shaughan Lavine - Understanding the Infinite I |
| 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? |
| 5126 | A carelessly thrown brick is condemned much more if it hits someone [Smith,A, by Harman] |
| Full Idea: Adam Smith wrote about the influence of fortune on moral judgements, giving nice examples. Someone carelessly throws a brick over a wall. His companion may complain even if no harm is done. But if the brick hits someone much greater condemnation ensues. | |
| From: report of Adam Smith (The Theory of Moral Sentiments [1759]) by Gilbert Harman - Moral Philosophy meets social psychology 10.7.1.2 | |
| A reaction: This appears to be the earliest observation of the phenomenon of moral luck, though Plato (Idea 269) endorsed the view that the luck of outcome should be taken into account in moral judgements. |