Combining Philosophers

Ideas for Hermarchus, David Robb and Timothy Williamson

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3 ideas

5. Theory of Logic / G. Quantification / 1. Quantification

18492	Not all quantification is either objectual or substitutional [Williamson]
	Full Idea: We should not assume that all quantification is either objectual or substitutional.
	From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], p.262)
	A reaction: [see Prior 1971:31-4] He talks of quantifying into sentence position.

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

15136	Substitutional quantification is metaphysical neutral, and equivalent to a disjunction of instances [Williamson]
	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.
	From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2)
	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?

5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification

15138	Not all quantification is objectual or substitutional [Williamson]
	Full Idea: We should not assume that all quantification is objectual or substitutional.
	From: Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2)