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 |
| 527 | Everything exists which anyone perceives [Metrodorus of Chios] |
| Full Idea: Everything exists which anyone perceives. | |
| From: Metrodorus (Chi) (Natural Science (lost) [c.340 BCE], B2), quoted by (who?) - where? | |
| A reaction: cf Berkeley and Epicurus. This misses out the problem of perceptual error, such as a square tower looking round from a distance, or one person in a group thinking they have seen something. It is still a good criterion, though! |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom. | |
| From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88) | |
| A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate'). |