9 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. |
| 7544 | Many people imagine that to experience is to understand [Goethe] |
| Full Idea: There are many people who imagine that what they experience they also understand. | |
| From: Wolfgang von Goethe (Maxims and Reflections [1825], 889) | |
| A reaction: This should be posted over the arrivals gate of every international airport, for returning holiday-makers. It seems to place Goethe on the rationalist side of the debate with empiricism. It is hard to explain 'understanding' in Humean terms. |
| 7541 | Man never understands how anthropomorphic he is [Goethe] |
| Full Idea: Man never understands how anthropomorphic he is. | |
| From: Wolfgang von Goethe (Maxims and Reflections [1825], 203) | |
| A reaction: Nice. It is true, even when it is pointed out to us. No matter how hard we try to realise how very different animals are from us, we can't help identifying with them. Religious people even do it with inanimate creation. |
| 7543 | We gain self-knowledge through action, not thought - especially when doing our duty [Goethe] |
| Full Idea: How can we learn self-knowledge? Never by taking thought, but rather by action. Try to do your duty and you'll soon discover what you're like. | |
| From: Wolfgang von Goethe (Maxims and Reflections [1825], 442) | |
| A reaction: Good! I even like the unfashionable bit about duty. If you just do what you want, you will discover your interests, but not so much about your capacities. However, when you have to do something less comfortable, it is very revealing. |
| 7540 | Beauty is a manifestation of secret natural laws [Goethe] |
| Full Idea: Beauty is a manifestation of secret natural laws which without this appearance would have remained eternally hidden from us. | |
| From: Wolfgang von Goethe (Maxims and Reflections [1825], 183) | |
| A reaction: An interesting defence of beauty as an objective feature of the world. I'm not sure. Much beauty is indeed the result of growth or erosion expressing underlying laws, but then I have always thought there was a sexual component to visual beauty. |
| 7667 | There are two sides to men - the pleasantly social, and the violent and creative [Diderot, by Berlin] |
| Full Idea: Diderot is among the first to preach that there are two men: the artificial man, who belongs in society and seeks to please, and the violent, bold, criminal instinct of a man who wishes to break out (and, if controlled, is responsible for works of genius. | |
| From: report of Denis Diderot (works [1769], Ch.3) by Isaiah Berlin - The Roots of Romanticism | |
| A reaction: This has an obvious ancestor in Plato's picture (esp. in 'Phaedrus') of the two conflicting sides to the psuché, which seem to be reason and emotion. In Diderot, though, the suppressed man has virtues, which Plato would deny. |
| 7538 | The happiest people link the beginning and end of life [Goethe] |
| Full Idea: The happiest man is one who can link the end of his life with its beginning. | |
| From: Wolfgang von Goethe (Maxims and Reflections [1825], 140) | |
| A reaction: [from 'Art and Antiquity']. A nice thought, which chimes in with the idea that a good life is like a complete story or a work of art (Idea 7501), or that it is 'eudaimon'. |
| 7542 | The best form of government teaches us to govern ourselves [Goethe] |
| Full Idea: You ask which form of government is the best? Whichever teaches us to govern ourselves. | |
| From: Wolfgang von Goethe (Maxims and Reflections [1825], 353) | |
| A reaction: Not a fashionable view, since the rise of freedom as the highest political ideal, but I identify with the idea that a good government should educate, and should try to facilitate virtue as well as pleasure. |
| 7539 | To get duties from people without rights, you must pay them well [Goethe] |
| Full Idea: If you demand duties from people and will not concede them rights, you have to pay them well. | |
| From: Wolfgang von Goethe (Maxims and Reflections [1825], 180) | |
| A reaction: [from 'Art and Antiquity']. ...or have great power over them. Goethe gives the optimistic liberal view, rather than the Marxist view. |