5 ideas
14231 | We should always apply someone's theory of meaning to their own utterances [Liggins] |
Full Idea: We should interpret philosophers as if their own theory of the meaning of their utterances were true, whether or not we agree with that theory. | |
From: David Liggins (Nihilism without Self-Contradiction [2008], 8) | |
A reaction: This seems to give legitimate grounds for some sorts of ad hominem objections. It would simply be an insult to a philosopher not to believe their theories, and then apply them to what they have said. This includes semantic theories. |
14232 | We normally formalise 'There are Fs' with singular quantification and predication, but this may be wrong [Liggins] |
Full Idea: It is quite standard to interpret sentences of the form 'There are Fs' using a singular quantifier and a singular predicate, but this tradition may be mistaken. | |
From: David Liggins (Nihilism without Self-Contradiction [2008], 8) | |
A reaction: Liggins is clearly in support of the use of plural quantification, referring to 'there are some xs such that'. |
8249 | Class membership is not transitive, unlike being part of a part of the whole [Lesniewski, by George/Van Evra] |
Full Idea: Lesniewski distinguished the part-whole relationship from class membership. Membership is not transitive: if s is an element of t, and t of u, then s is not an element of u, whereas a part of a part is a part of the whole. | |
From: report of Stanislaw Lesniewski (works [1916]) by George / Van Evra - The Rise of Modern Logic 7 | |
A reaction: If I am a member of a sports club, and my club is a member of the league, I am not thereby a member of the league (so clubs are classes, not wholes). This distinction is clearly fairly crucial in ontology. |
14233 | Nihilists needn't deny parts - they can just say that some of the xs are among the ys [Liggins] |
Full Idea: We can interpret '..is a part of..' as '..are among..': the xs are a part of the ys just when the xs are among the ys (though if the ys are 'one' then they would not have parts). | |
From: David Liggins (Nihilism without Self-Contradiction [2008], 9) | |
A reaction: The trouble is that this still leaves us with gerrymandered 'parts', in the form of xs that are scattered randomly among the ys. That's not what we mean by 'part'. No account of identity works if it leaves out coherent structure. |
1497 | For Anaximenes nature is air, which takes different forms by rarefaction and condensation [Anaximenes, by Simplicius] |
Full Idea: Unlike Anaximander, Anaximenes' underlying nature is not boundless, but specific, since he says that it is air, and claims that it is thanks to rarefaction and condensation that it manifests in different forms in different things. | |
From: report of Anaximenes (fragments/reports [c.546 BCE], A5) by Simplicius - On Aristotle's 'Physics' 9.24.26- |