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Single Idea 21642

[filed under theme 5. Theory of Logic / G. Quantification / 4. Substitutional Quantification ]

Full Idea

Ontology is meaningless for a theory whose only quantification is substitutionally construed.

Gist of Idea

If quantification is all substitutional, there is no ontology

Source

Willard Quine (Ontological Relativity [1968], p.64), quoted by Thomas Hofweber - Ontology and the Ambitions of Metaphysics 03.5.1 n18

Book Ref

Hofweber,Thomas: 'Ontology and the Ambitions of Metaphysics' [OUP 2018], p.83


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'.


The 7 ideas from 'Ontological Relativity'

Reference is inscrutable, because we cannot choose between theories of numbers [Quine, by Orenstein]
Indeterminacy translating 'rabbit' depends on translating individuation terms [Quine]
Absolute ontological questions are meaningless, because the answers are circular definitions [Quine]
Ontology is relative to both a background theory and a translation manual [Quine]
We know what things are by distinguishing them, so identity is part of ontology [Quine]
If quantification is all substitutional, there is no ontology [Quine]
Two things are relative - the background theory, and translating the object theory into the background theory [Quine]