4 ideas
| 10855 | Actual infinities are not allowed in mathematics - only limits which may increase without bound [Gauss] |
| Full Idea: I protest against the use of an infinite quantity as an actual entity; this is never allowed in mathematics. The infinite is only a manner of speaking, in which one properly speaks of limits ...which are permitted to increase without bound. | |
| From: Carl Friedrich Gauss (Letter to Shumacher [1831]), quoted by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.7 |
| 20579 | Modern totalitarianism results from lack of social ties or shared goals [Arendt, by Oksala] |
| Full Idea: Arendt claims that modern totalitarianism's primary condition is an atomised mass society: isolated individuals who have no strong ties to communities and who are indifferent to shared political goals. | |
| From: report of Hannah Arendt (The Origins of Totalitarianism [1968]) by Johanna Oksala - Political Philosophy: all that matters Ch.9 | |
| A reaction: I think the lack of ties simply describes large modern cities. Not sure about the lack of shared goals. Hitler and Stalin rode on the back of apparent shared goals. Working classes strike me as sharing more goals than middle classes. |
| 20580 | The ideal subject for dictators is not a fanatic, but someone who can't distinguish true from false [Arendt, by Oksala] |
| Full Idea: The ideal subject of totalitarianism is not the convinced Nazi or the convinced communist, but anyone who has lost the ability to make distinctions between fact and fiction and between true and false. | |
| From: report of Hannah Arendt (The Origins of Totalitarianism [1968]) by Johanna Oksala - Political Philosophy: all that matters Ch.9 | |
| A reaction: We are currently living with an apparent attempt by Donald Trump to become a totalitarian President of the U.S.A., by constantly disseminating lies, and labelling all of his critics as 'fake news'. |
| 6005 | Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley] |
| Full Idea: Hermarchus said that animal killing is justified by considerations of human safety and nourishment and by animals' inability to form contractual relations of justice with us. | |
| From: report of Hermarchus (fragments/reports [c.270 BCE]) by David A. Sedley - Hermarchus | |
| A reaction: Could the last argument be used to justify torturing animals? Or could we eat a human who was too brain-damaged to form contracts? |