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Full Idea
We should not assume that all quantification is objectual or substitutional.
Gist of Idea
Not all quantification is objectual or substitutional
Source
Timothy Williamson (Truthmakers and Converse Barcan Formula [1999], §2)
Book Ref
-: 'Dialectica' [-], p.262
15878 | Some quantifiers, such as 'any', rule out any notion of order within their range [Harré] |
10774 | There are at least five unorthodox quantifiers that could be used [Tharp] |
7806 | Boolos invented plural quantification [Boolos, by Benardete,JA] |
15534 | We could quantify over impossible objects - as bundles of properties [Lewis] |
15156 | The universal and existential quantifiers were chosen to suit mathematics [Soames] |
6068 | We need an Intentional Quantifier ("some of the things we talk about.."), so existence goes into the proposition [McGinn] |
15138 | Not all quantification is objectual or substitutional [Williamson] |
8711 | Intuitionists read the universal quantifier as "we have a procedure for checking every..." [Friend] |
18771 | Stop calling ∃ the 'existential' quantifier, read it as 'there is...', and range over all entities [Anderson,CA] |