3 ideas
| 10269 | Mathematics eliminates possibility, as being simultaneous actuality in sets [Putnam] |
| Full Idea: Mathematics has got rid of possibility by simply assuming that, up to isomorphism anyway, all possibilities are simultaneous actual - actual, that is, in the universe of 'sets'. | |
| From: Hilary Putnam (What is Mathematical Truth? [1975], p.70), quoted by Stewart Shapiro - Philosophy of Mathematics 7.5 |
| 5996 | Critolaus redefined Aristotle's moral aim as fulfilment instead of happiness [Critolaus, by White,SA] |
| Full Idea: Critolaus reformulated Aristotelian theory by defining happiness as a 'fulfilment' (sumplêrôma) of psychic, physical, and external goods, where virtue vastly outweighs the rest. | |
| From: report of Critolaus (fragments/reports [c.170 BCE]) by Stephen A. White - Critolaus | |
| A reaction: The sounds more like an attempt at clarification than a real change of Peripatetic doctrine. Occasionally 'fulfilment' is offered as a translation for eudaimonia. Maybe we should just take up Critolaus' suggestion when we are discussing Aristotle. |
| 6004 | The cardinal virtues are theoretical (based on knowledge), and others are 'non-theoretical' [Hecato, by Dorandi] |
| Full Idea: Hecato defined the cardinal virtues as 'theoretical', that is, based on knowledge, and to these he opposed those that are 'non-theoretical', for example, health, beauty, strength of spirit, and courage. | |
| From: report of Hecato (fragments/reports [c.70 BCE]) by Tiziano Dorandi - Hecato of Rhodes | |
| A reaction: Mostly these are Aristotle's external and non-external virtues, except that courage is here included among the former, implying, presumably, that it is more of a natural gift than an intellectual achievement. |