A 'range-narrowed' expression that depends on a prior domain of quantification behaves logically as a bound variable, not a genuine singular term like a proper name or demonstrative.

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Bound variable(as used in formal logic): In logic and mathematics, a variable whose value is restricted or limited by a surrounding rule or statement—think of it like a placeholder in a formula that's been pinned down by the context around it.
demonstrative(Used to argue that "I" is not a demonstrative because I-thoughts are possible without a presented referent): An expression whose use requires the demonstrated object to be presented to conscious awareness
domain of quantification(As conceived by skeptics drawing on modern model theory): A set or set-like object containing as members all objects over which a quantifier is supposed to range.
proper name(Priscian's Latin grammar): A subdivision of the nomen that signifies a particular substance and its quality, and may also include apprehension of something common (an associated descriptive sense).
range-narrowed expression(Alyngton's account of terms of second intention like 'individual' or 'singular'): An expression that identifies a singular referent as a member of a given set of individuals by narrowing the range of a general concept to a unique object through an act of the intellect.
singular term(Central to the criterion of ontological commitment): A term in a sentence that purports to refer to a specific individual object, the literal truth of whose containing sentence generates ontological commitment to that object.

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