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Single Idea 10789

[filed under theme 8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism ]

Full Idea

Nominalists have the major task of explaining how predicates work. They usually construct it as a relation between individuals, or deny the referential function of predicates.

Gist of Idea

Nominalists say predication is relations between individuals, or deny that it refers

Source

Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.163)

Book Ref

'Philosophy of Logic: an anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.163


The 13 ideas from 'Nominalism and Substitutional Quantifiers'

Maybe a substitutional semantics for quantification lends itself to nominalism [Marcus (Barcan)]
Anything which refers tends to be called a 'name', even if it isn't a noun [Marcus (Barcan)]
Nominalists see proper names as a main vehicle of reference [Marcus (Barcan)]
Is being just referent of the verb 'to be'? [Marcus (Barcan)]
Nominalists say predication is relations between individuals, or deny that it refers [Marcus (Barcan)]
Quantifiers are needed to refer to infinitely many objects [Marcus (Barcan)]
Substitutional semantics has no domain of objects, but place-markers for substitutions [Marcus (Barcan)]
If objects are thoughts, aren't we back to psychologism? [Marcus (Barcan)]
Substitutional language has no ontology, and is just a way of speaking [Marcus (Barcan)]
The nominalist is tied by standard semantics to first-order, denying higher-order abstracta [Marcus (Barcan)]
A true universal sentence might be substitutionally refuted, by an unnamed denumerable object [Marcus (Barcan)]
Substitutivity won't fix identity, because expressions may be substitutable, but not refer at all [Marcus (Barcan)]
Nominalists should quantify existentially at first-order, and substitutionally when higher [Marcus (Barcan)]