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Ideas for 'works', 'Quine on Quantifying In' and 'Ontological Relativity'

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2 ideas

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional quantification is referential quantification over expressions [Fine,K]
     Full Idea: Substitutional quantification may be regarded as referential quantification over expressions.
     From: Kit Fine (Quine on Quantifying In [1990], p.124)
     A reaction: This is an illuminating gloss. Does such quantification involve some ontological commitment to expressions? I feel an infinite regress looming.
If quantification is all substitutional, there is no ontology [Quine]
     Full Idea: Ontology is meaningless for a theory whose only quantification is substitutionally construed.
     From: Willard Quine (Ontological Relativity [1968], p.64), quoted by Thomas Hofweber - Ontology and the Ambitions of Metaphysics 03.5.1 n18
     A reaction: Hofweber views it as none the worse for that, since clearly lots of quantification has no ontological commitment at all. But he says it is rightly called 'a nominalists attempt at a free lunch'.