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3 ideas
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. |
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? |
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) |