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2 ideas
| 14091 | There may be a one-way direction of dependence among sets, and among natural numbers [Linnebo] |
| Full Idea: We can give an exhaustive account of the identity of the empty set and its singleton without mentioning infinite sets, and it might be possible to defend the view that one natural number depends on its predecessor but not vice versa. | |
| From: Øystein Linnebo (Structuralism and the Notion of Dependence [2008], V) | |
| A reaction: Linnebo uses this as one argument against mathematical structuralism, where the small seems to depend on the large. The view of sets rests on the iterative conception, where each level is derived from a lower level. He dismisses structuralism of sets. |
| 3841 | Users of 'supervenience' blur its causal and constitutive meanings [Searle] |
| Full Idea: I am no fan of the concept of supervenience. Its uncritical use is a sign of philosophical confusion, because the concept oscillates between causal supervenience and constitutive supervenience. | |
| From: John Searle (Rationality in Action [2001], Ch.9 n5) | |
| A reaction: I don't see why you shouldn't assert the supervenience of one thing on another, while saying that you are not sure whether it is causal or constitutive. The confusion seems to me to be in understandings of the causal version. |