An expression whose semantic contribution is exhausted by a context-to-referent rule cannot account for the irreducible first-person mode of presentation, so 'I' must have stable sense beyond mere indexicality.
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irreducible(Personalist anthropology; distinguishes personhood from mere biological individuality)
That which is unique and unrepeatable in each human being, by virtue of which a person is not merely an individual of a species but a personal subject.
mode of presentation(Fregean semantics)
The way in which a name picks out or presents its referent; two names may share a referent while differing in their mode of presentation
sense(Fregean semantics)
The mode of presentation by which a name presents its referent; the component of meaning that can differ between two co-referential names