|Intensions: intensions are reference objects resulting from a linguistic description, in contrast to the material objects (extensions) that may differ therefrom, whether due to inaccuracies, or by the use of indexical expressions. Examples of intensions are “the oldest person in the room”, “the winner”, “John's favorite quote”, “the one who violates the speed limit”. See also morning star/evening star, extensionality, extension.|
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Def C-intension/Jackson: is c(x) expressed by u in x. ((s) where the semantics in possible world x causes the content c to be expressed which is perhaps different from what can be meant by it in another possible world) - i.e. relative to possible worlds - Def A-intension/Jackson: solely determined by the idea of prop. ((s) what is meant?) (Regardless of possible worlds) - then difference between modal and epistemic distinctions. - There are no propositions that are both necessary and a posterori, and no propositions that are both contingent and a priori - but statements! - Def necessary a posteriori statement: is one with a necessary C-intension and a contingent A-intension - Def contingent a priori statement: is, on the other hand, one with a necessary A-intension and a contingent C-intension.
Def two-dimensional sentence intension/Stalnaker: a function with two arguments, a centered world and a possible world - its value is a truth value - Def A-intensions/primary intension/Primary sentence intension/Stalnaker: function with one argument, one centered world - its value is a truth value.
Def C-intension/Secondary intension/Secondary sentence intension/Stalnaker: function with one argument, one possible world - its value is a truth value.
Two-dimensional intension/Thought/Non-rigid/Content/Stalnaker: the two-dimensional intension for thoughts defines a non-rigid description of a proposition: the secondary intension is the reference of this description.
Secondary Proposition/Stalnaker: this proposition is not the content of the thoughts of the speaker, but is determined by the content, as a function of the facts.
Ways a World may be Oxford New York 2003