3 ideas
| 14248 | We could accept the integers as primitive, then use sets to construct the rest [Cohen] |
| Full Idea: A very reasonable position would be to accept the integers as primitive entities and then use sets to form higher entities. | |
| From: Paul J. Cohen (Set Theory and the Continuum Hypothesis [1966], 5.4), quoted by Oliver,A/Smiley,T - What are Sets and What are they For? | |
| A reaction: I find this very appealing, and the authority of this major mathematician adds support. I would say, though, that the integers are not 'primitive', but pick out (in abstraction) consistent features of the natural world. |
| 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? |
| 22457 | If the aim is good outcomes, why are killings worse than deaths? [Scheffler, by Foot] |
| Full Idea: It is not clear why, in the measurement of the goodness of states of affairs or total outcomes, killings for instance should count so much more heavily than deaths. | |
| From: report of Samuel Scheffler (The Rejection of Consequentialism [1982], pp.108-12) by Philippa Foot - Utilitarianism and the Virtues p.61 | |
| A reaction: Or drunken drivers worse than careless drivers. Or stolen bracelets than lost bracelets. The point is that morality is about the behaviour of people, and not about consequences. |