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Full Idea
A rigid designator is a designator that denotes the same individual in all possible worlds; doesn't this presuppose that the same individuals can be found in differing possible worlds?
Gist of Idea
Rigid designation seems to presuppose that differing worlds contain the same individuals
Source
Robert C. Stalnaker (Reference and Necessity [1997], 5)
Book Ref
Stalnaker,Robert C.: 'Ways a World Might Be' [OUP 2003], p.185
A Reaction
This is part of Stalnaker's claim that Kripke already has a metaphysics in place when he starts on his semantics and his theory of reference. Kripke needs a global domain, not a variable domain. Possibilities suggest variable domains to me.
Related Ideas
Idea 16394 Kripke derives accounts of reference and proper names from assumptions about worlds and essences [Stalnaker on Kripke]
Idea 16411 If possible worlds really differ, I can't be in more than one at a time [Stalnaker]
16396 | Kripke's possible worlds are methodological, not metaphysical [Stalnaker] |
16403 | 'Descriptive' semantics gives a system for a language; 'foundational' semantics give underlying facts [Stalnaker] |
16397 | If it might be true, it might be true in particular ways, and possible worlds describe such ways [Stalnaker] |
16399 | Possible worlds are ontologically neutral, but a commitment to possibilities remains [Stalnaker] |
16398 | Possible worlds allow discussion of modality without controversial modal auxiliaries [Stalnaker] |
16401 | To understand an utterance, you must understand what the world would be like if it is true [Stalnaker] |
16405 | To understand a name (unlike a description) picking the thing out is sufficient? [Stalnaker] |
16406 | If you don't know what you say you can't mean it; what people say usually fits what they mean [Stalnaker] |
16404 | In the use of a name, many individuals are causally involved, but they aren't all the referent [Stalnaker] |
16408 | Rigid designation seems to presuppose that differing worlds contain the same individuals [Stalnaker] |
16407 | Possible worlds allow separating all the properties, without hitting a bare particular [Stalnaker] |