4 ideas
| 10245 | One geometry cannot be more true than another [Poincaré] |
| Full Idea: One geometry cannot be more true than another; it can only be more convenient. | |
| From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics | |
| A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate. |
| 5880 | Xenocrates held that the soul had no form or substance, but was number [Xenocrates, by Cicero] |
| Full Idea: Xenocrates denied that the soul had form or any substance, but said that it was number, and the power of number, as had been held by Pythagoras long before, was the highest in nature. | |
| From: report of Xenocrates (fragments/reports [c.327 BCE]) by M. Tullius Cicero - Tusculan Disputations I.x.20 | |
| A reaction: This shows how strong the Pythagorean influence was in the Academy. This is not totally stupid. Dawkins holds that the essence of DNA is information, which can be expressed mathematically. Xenocrates was a functionalist. |
| 16006 | Either Abraham rises higher than universal ethics, or he is a mere murderer [Kierkegaard] |
| Full Idea: Either Abraham was a murderer, or we confront a paradox higher than all mediation. His story therefore contains the teleological suspension of the ethical, and he becomes higher than the universal. If not, he is not a tragic hero or the father of faith. | |
| From: Søren Kierkegaard (Fear and Trembling [1843], p.49) | |
| A reaction: A nice dilemma for Christian thinkers who want to reconcile reason and morality with religion. [SY] |
| 7577 | Abraham was willing to suspend ethics, for a higher idea [Kierkegaard] |
| Full Idea: The story of Abraham (and Isaac) contains a teleological suspension of the ethical. ...In his action he overstepped the ethical altogether, and had a higher idea outside it, in relation to which he suspended it. | |
| From: Søren Kierkegaard (Fear and Trembling [1843], Prob I) | |
| A reaction: My immediate response is to find this proposal very sinister. I can't remotely understand what Abraham's (or God's) 'higher' idea could be that could justify this crime. Maybe ethics is suspended if you are on the beach and a tidal wave arrives? |