5 ideas
| 18832 | Mathematical statements and entities that result from an infinite process must lack a truth-value [Dummett] |
| Full Idea: On an intuitionistic view, neither the truth-value of a statement nor any other mathematical entity can be given as the final result of an infinite process, since an infinite process is precisely one that does not have a final result. | |
| From: Michael Dummett (Elements of Intuitionism (2nd ed) [2000], p.41), quoted by Ian Rumfitt - The Boundary Stones of Thought 7.3 | |
| A reaction: This is rather a persuasive reason to sympathise with intuitionism. Mathematical tricks about 'limits' have lured us into believing in completed infinities, but actually that idea is incoherent. |
| 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? |
| 23035 | The good life aims at perfections, or absolute laws, or what is absolutely desirable [Green,TH] |
| Full Idea: The differentia of the good life …is controlled by the consciousness of there being some perfection which has to be fulfilled, some law which has to be obeyed, something absolutely desirable whatever the individual may for the time desire. | |
| From: T.H. Green (Prolegomena to Ethics [1882], p.134), quoted by John H. Muirhead - The Service of the State II | |
| A reaction: The 'perfection' suggests Plato, and the 'law' suggests Kant. The idea that something is 'absolutely desirable' is, I suspect, aimed at the utilitarians, who don't care what is desired. I'm no idealist, but have some sympathy with this idea. |
| 23037 | People are improved by egalitarian institutions and habits [Green,TH] |
| Full Idea: Man has bettered himself through institutions and habits which tend to make the welfare of all the welfare of each. | |
| From: T.H. Green (Prolegomena to Ethics [1882], p.180), quoted by John H. Muirhead - The Service of the State II | |
| A reaction: I like this a lot. We underestimate how the best social values are promoted by the existence of enlightened institutions, rather than by preaching and teaching. Schools, law courts and churche embody their values. |
| 23043 | All talk of the progress of a nation must reduce to the progress of its individual members [Green,TH] |
| Full Idea: Our ultimate standard of worth is an ideal of personal worth. All other values are relative to personal values. To speak of any progress of a nation or society or mankind except as relative to some greater worth of persons is to use words without meaning. | |
| From: T.H. Green (Prolegomena to Ethics [1882], p.193), quoted by John H. Muirhead - The Service of the State II | |
| A reaction: Note that, pre-verificationism, a Victorian talks of plausible words actually being meaningless. This is a good statement of the core doctrine of liberalism. |