3 ideas
| 7536 | If you hope to improve the world, all you can do is improve yourself [Wittgenstein] |
| Full Idea: When Wittgenstein was once asked what one can do to improve the world, he replied: 'Improve yourself; that is the only thing you can do to improve the world'. | |
| From: Ludwig Wittgenstein (talk [1935]), quoted by Ray Monk - Bertrand Russell: Ghost of Madness Ch.1 | |
| A reaction: This is rather startlingly pessimistic about politics, and I don't really believe it. If anything has ever improved me, it has usually come from the world, and been created by other people. |
| 9992 | The 'extension of a concept' in general may be quantitatively completely indeterminate [Cantor] |
| Full Idea: The author entirely overlooks the fact that the 'extension of a concept' in general may be quantitatively completely indeterminate. Only in certain cases is the 'extension of a concept' quantitatively determinate. | |
| From: George Cantor (Review of Frege's 'Grundlagen' [1885], 1932:440), quoted by William W. Tait - Frege versus Cantor and Dedekind | |
| A reaction: Cantor presumably has in mind various infinite sets. Tait is drawing our attention to the fact that this objection long precedes Russell's paradox, which made the objection more formal (a language Frege could understand!). |
| 19216 | Propositions (such as 'that dog is barking') only exist if their items exist [Williamson] |
| Full Idea: A proposition about an item exists only if that item exists... how could something be the proposition that that dog is barking in circumstances in which that dog does not exist? | |
| From: Timothy Williamson (Necessary Existents [2002], p.240), quoted by Trenton Merricks - Propositions | |
| A reaction: This is a view of propositions I can't make sense of. If I'm under an illusion that there is a dog barking nearby, when there isn't one, can I not say 'that dog is barking'? If I haven't expressed a proposition, what have I done? |