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2 ideas
13969 | Kripkean essential properties and relations are necessary, in all genuinely possible worlds [Soames] |
Full Idea: By (Kripkean) 'essential' properties and relations I mean simply properties and relations that hold necessarily of objects (in all genuinely possible world-states in which the objects exist). | |
From: Scott Soames (Significance of the Kripkean Nec A Posteriori [2006], p.168 n5) | |
A reaction: This is the standard modern view of essences which I find so unsatisfactory. Kit Fine has helped to take us back to the proper Aristotelian view, where 'necessary' and 'essential' actually have different meanings. Note the inclusion of relations. |
13702 | The identity of indiscernibles is necessarily true, if being a member of some set counts as a property [Sider] |
Full Idea: The identity of indiscernibles (∀x∀y(∀X(Xx↔Xy)→x=y) is necessarily true, provided that we construe 'property' very broadly, so that 'being a member of such-and-such set' counts as a property. | |
From: Theodore Sider (Logic for Philosophy [2010], 5.4.3) | |
A reaction: Sider's example is that if the two objects are the same they must both have the property of being a member of the same singleton set, which they couldn't have if they were different. |