Lexicon of Arguments

 

III 372
Domain/range/Russell/Kripke: "iff" is extensional: it moves the domain inside. De dicto: de dicto always has the smallest domain: e.g. Jones believes there is ... . Dramatic difference to referential quantification: is referential quantification always the largest domain? E.g. there is something that Jones believes.
>Referential quantification/Kripke, cf. >Substitutional quantification/Kripke, >de dicto, >de re.
III 216f
Domain/KripkeVsRussell: he wanted to explain the difference de re/de dicto by domains: smallest domain: the smalles domain is de dicto - the largest domain is de re. KripkeVs: there are three domains: narrowest MN(Ex) (there are exactly x planets and x is even), (de dicto); largest: (e.g.) (there are exactly x planets and MN(x is even)), (de re); medium domain: M(Ex) (there are exactly x planets and N(x is even)). ((s) It is possible that there are 8 planets and it is necessary that 8 is even (correct)). ((s) Short domain: both operators are at front. Widest domain: both are in the rear. Medium domain: has distributed operators. Medium domains are possible, when operators are repeated).
>Planets example.
III 217
Domain/Russell/Kripke: e.g. largest domain/de re: "there is a high official, so that Hoover believes that the Barrigans want to kidnap him". The smallest domain/de-dicto: "Hoover believes that the Barrigans ...". Medium domain: "Hoover believes that there is a high official, so ...".
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II 217ff
Domain/Kripke: a domain is not suitable for illustrating the difference de re/de dicto because of the third domain.
>Quantification.