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Single Idea 6068

[filed under theme 5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification ]

Full Idea

We could introduce an 'intentional quantifier' (Ix) which means 'some of the things we talk about..'; we could then say 'some of the things we talk about are F and exist' (Ix, x is F and x exists).

Gist of Idea

We need an Intentional Quantifier ("some of the things we talk about.."), so existence goes into the proposition

Source

Colin McGinn (Logical Properties [2000], Ch.2)

Book Ref

McGinn,Colin: 'Logical Properties' [OUP 2003], p.33


A Reaction

This immediately strikes me as a promising contribution to the analytical toolkit. McGinn is supporting his view that existence is a predicate, and so belongs inside the proposition, not outside.


The 9 ideas with the same theme [non-classical ways of referring to the quantity of objects]:

Some quantifiers, such as 'any', rule out any notion of order within their range [Harré]
There are at least five unorthodox quantifiers that could be used [Tharp]
Boolos invented plural quantification [Boolos, by Benardete,JA]
We could quantify over impossible objects - as bundles of properties [Lewis]
The universal and existential quantifiers were chosen to suit mathematics [Soames]
We need an Intentional Quantifier ("some of the things we talk about.."), so existence goes into the proposition [McGinn]
Not all quantification is objectual or substitutional [Williamson]
Intuitionists read the universal quantifier as "we have a procedure for checking every..." [Friend]
Stop calling ∃ the 'existential' quantifier, read it as 'there is...', and range over all entities [Anderson,CA]