Single Idea 10799

[catalogued under 5. Theory of Logic / G. Quantification / 1. Quantification]

Full Idea

For the nominalist, at level zero, where substituends are referring names, the quantifiers may be read existentially. Beyond level zero, the variables and quantifiers are read sustitutionally (though it is unclear whether this program is feasible).

Gist of Idea

Nominalists should quantify existentially at first-order, and substitutionally when higher

Source

Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.167)

Book Reference

'Philosophy of Logic: an anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.167

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