3 ideas
| 13166 | Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu] |
| Full Idea: Essences and essential properties do not seem to be useful in mathematical contexts, since all mathematical truths are regarded as necessary (though Kit Fine distinguishes between essential and necessary properties). | |
| From: Paolo Mancosu (Explanation in Mathematics [2008], §6.1) | |
| A reaction: I take the proviso in brackets to be crucial. This represents a distortion of notion of an essence. There is a world of difference between the central facts about the nature of a square and the peripheral inferences derivable from it. |
| 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? |
| 23897 | Once money is the main aim, society needs everyone to think wealth is possible [Weil] |
| Full Idea: Money, once it becomes the goal of desires and efforts, cannot tolerate in its domain internal conditions in which it is impossible to be enriched. | |
| From: Simone Weil (The Work of a Free Person [1942], p.134) | |
| A reaction: The possibility for everyone that they might become rich seems basic to capitalism, even though it is utterly impossible. In theory we can all set up small successful businesses, but if they are good they nearly all get squeezed out. |