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 |
| 21899 | There is no being beyond becoming [Deleuze] |
| Full Idea: There is no being beyond becoming, nothing beyond multiplicity. ...Becoming is the affirmation of being. | |
| From: Gilles Deleuze (Nietzsche and Philosophy [1962], p.23), quoted by Todd May - Gilles Deleuze 2.09 | |
| A reaction: This places Deleuze in what I think of as the Heraclitus tradition. Parmenides does Being, Heraclitus does Becoming, Aristotle does Beings. |
| 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? |