Single Idea 15136

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

Full Idea

If quantification into sentence position is substitutional, then it is metaphysically neutral. A substitutionally interpreted 'existential' quantification is semantically equivalent to the disjunction (possibly infinite) of its substitution instances.

Gist of Idea

Substitutional quantification is metaphysical neutral, and equivalent to a disjunction of instances

Source

Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2)

Book Reference

-: 'Dialectica' [-], p.262


A Reaction

Is it not committed to the disjunction, just as the objectual reading commits to objects? Something must make the disjunction true. Or is it too verbal to be about reality?