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. |
| 8119 | Art aims only at beauty, of form, of idea, and (above all) of expression [Winckelmann, by Tolstoy] |
| Full Idea: According to Winckelmann, the law and aim of all art is beauty, independent of goodness. The three kinds of beauty are of form, of idea, and of expression (the highest aim, attainable only when the other two are present). | |
| From: report of Johann Winckelmann (History of Ancient Art [1764]) by Leo Tolstoy - What is Art? Ch.3 | |
| A reaction: This sounds very like 'art for art's sake', but a hundred years earlier. This is quite a good distinction, and I particularly like the 'beauty of idea', which is often overlooked. |
| 23261 | A people, not government, creates a constitution, which is essential for legitimacy [Paine] |
| Full Idea: A constitution is not the act of a government, but of a people constituting a government, and a government without a constitution is power without right. | |
| From: Thomas Paine (Rights of Man [1792], Ch.7), quoted by A.C. Grayling - The Good State 5 | |
| A reaction: A constitution looks like the ultimate focus of a social contract (though Greeks had them long ago). It is hard to say why a government should consider itself to be sovereign if it hasn't got it in writing. |