3 ideas
13007 | Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz] |
Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points. | |
From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13 | |
A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry. |
22352 | Out of more than a hundred planets, Earth is the only one with the idea of free will [Vonnegut] |
Full Idea: I wouldn’t have any idea what was meant by ‘free will'. I’ve visited thirty-one inhabited planets in the universe, and studied reports on one hundred more. Only on Earth is there any talk of free will. | |
From: Kurt Vonnegut (Slaughterhouse Five [1969], Ch.4) | |
A reaction: Spoken by the ambassador from the planet Tralfamadore. Possibly the greatest put down of a philosophical idea since Diogenes responded to Plato's definition of a man. I think free will is a non-idea. It is non-sensical, and doesn't exist. |
23688 | Noncognitivism tries to avoid both naturalism and mysterious morality [Hacker-Wright] |
Full Idea: Noncognitivism is an attempt to avoid the alleged problems of naturalism without the mysteries of Moore's non-naturalism. | |
From: John Hacker-Wright (Philippa Foot's Moral Thought [2013], 1) | |
A reaction: R.M. Hare is the best example of this approach. Moore's Open Question argument was said to prove the Naturalistic Fallacy, which imagined that morality could be a feature of nature. It led Moore to platonism. I prefer Philippa Foot. |