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. |
| 23137 | Liberty without socialism is injustice; socialism without liberty is brutality [Bakunin] |
| Full Idea: Liberty without socialism is injustice; socialism without liberty is slavery and brutality. | |
| From: Mikhail Bakunin (works [1867], 3), quoted by Adam Gopnik - A Thousand Small Sanities 3 | |
| A reaction: [1867, but no reference] Bakunin was an anarchistic socialist. This must be the best one-line defence of socialism ever written. Gopnik quotes it as part of the anarchist critique of liberalism. So are liberty and socialism long-term compatible? |
| 1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |
| Full Idea: The Egyptians were the first to claim that the soul of a human being is immortal, and that each time the body dies the soul enters another creature just as it is being born. | |
| From: Herodotus (The Histories [c.435 BCE], 2.123.2) |