10 ideas
| 18200 | Very large sets should be studied in an 'if-then' spirit [Putnam] |
| Full Idea: Sets of a very high type or very high cardinality (higher than the continuum, for example), should today be investigated in an 'if-then' spirit. | |
| From: Hilary Putnam (The Philosophy of Logic [1971], p.347), quoted by Penelope Maddy - Naturalism in Mathematics | |
| A reaction: Quine says the large sets should be regarded as 'uninterpreted'. |
| 18199 | Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam] |
| Full Idea: We may say that indispensability is a pretty strong argument for the existence of at least predicative sets, and a pretty strong, but not as strong, argument for the existence of impredicative sets. | |
| From: Hilary Putnam (The Philosophy of Logic [1971], p.346), quoted by Penelope Maddy - Naturalism in Mathematics II.2 |
| 8857 | We must quantify over numbers for science; but that commits us to their existence [Putnam] |
| Full Idea: Quantification over mathematical entities is indispensable for science..., therefore we should accept such quantification; but this commits us to accepting the existence of the mathematical entities in question. | |
| From: Hilary Putnam (The Philosophy of Logic [1971], p.57), quoted by Stephen Yablo - Apriority and Existence | |
| A reaction: I'm not surprised that Hartry Field launched his Fictionalist view of mathematics in response to such a counterintuitive claim. I take it we use numbers to slice up reality the way we use latitude to slice up the globe. No commitment to lines! |
| 14894 | Indexicals have a 'character' (the standing meaning), and a 'content' (truth-conditions for one context) [Kaplan, by Macià/Garcia-Carpentiro] |
| Full Idea: Kaplan distinguished two different semantic features of indexical expressions: a 'character' that captures the standing meaning of the expression, and a 'content' that consists of their truth-conditional contribution in particular contexts. | |
| From: report of David Kaplan (Demonstratives [1989]) by Macià/Garcia-Carpentiro - Introduction to 'Two-Dimensional Semantics' 1 | |
| A reaction: This seems so clearly right that there isn't much to dispute. You can't understand the word 'I' or 'now' if you don't understand both its general purpose, and what it is doing in a particular utterance. But will this generalise to other semantics? |
| 14700 | 'Content' gives the standard modal profile, and 'character' gives rules for a context [Kaplan, by Schroeter] |
| Full Idea: Kaplan sees two aspects of meaning, the 'content', reflecting a thing's modal profile, which is modelled by standard possible worlds semantics, and 'character', giving rules for different contexts. Proper names have constant character; indexicals vary. | |
| From: report of David Kaplan (Demonstratives [1989]) by Laura Schroeter - Two-Dimensional Semantics 1.1.1 | |
| A reaction: This gives rise to 2-D matrices for representing meaning, and the possible worlds are used twice, for evaluating meaning and then for evaluating context of use. I've always been struck by the two-dimensional semantics of passwords. |
| 23857 | People in power always try to increase their power [Weil] |
| Full Idea: Every human group that exercises power does so …in such a way as to increase that power. | |
| From: Simone Weil (Prospects: Proletarian Revolution? [1933], p.15) | |
| A reaction: Not so true in smaller institutions, but at the centre of power you can control how power is distributed, so the temptation is too much. |
| 23856 | Spontaneous movements are powerless against organised repression [Weil] |
| Full Idea: A spontaneous movement is fundamentally impotent when it comes to fighting against organised forces of repression. | |
| From: Simone Weil (Prospects: Proletarian Revolution? [1933], p.2) | |
| A reaction: Her example is the Paris Commune of 1870. Hence revolution requires prior penetration of the corridors of power. Hence the phenomenon of 'entryism' of more radical people into reformist parties. |
| 23859 | True democracy is the subordination of society to the individual [Weil] |
| Full Idea: In the subordination of society to the individual lies the definition of true democracy, and that of socialism as well. | |
| From: Simone Weil (Prospects: Proletarian Revolution? [1933], p.19) | |
| A reaction: This is the simplest definition of the liberal view. The big difference is whether this subordination is the starting point of political thinking, or the end result at which it aims. |
| 23858 | War is perpetuated by its continual preparations [Weil] |
| Full Idea: War perpetuates itself under the form of preparation for war. | |
| From: Simone Weil (Prospects: Proletarian Revolution? [1933], p.16) | |
| A reaction: There are periods when military preparations are scaled down, but a reason is always found to scale them back up again. |
| 23860 | Even if a drowning man is doomed, he should keep swimming to the last [Weil] |
| Full Idea: A man who is thrown overboard in the middle of the ocean ought not to let himself drown, even though there is very litte chance of his reaching safety, but to go on swimming till exhausted. | |
| From: Simone Weil (Prospects: Proletarian Revolution? [1933], p.21) | |
| A reaction: You might survive a little longer if you don't exhaust yourself! Not clear where her authority for 'ought' comes from, but it expresses an interesting attitude. |