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. |
15640 | Courage is not a virtue, but the form of every virtue at its testing point [Lewis,CS] |
Full Idea: Courage is not simply one of the virtues, but the form of every virtue at the testing point. | |
From: C.S. Lewis (works [1950]) | |
A reaction: This appeared on Twitter, without mention of its source. Adding it breaks my normal rules, but I hope you agree that it is too good to miss. Is not even resolutely facing up to suffering or death a case of genuine courage? Determination, prioritisation? |
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? |