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Single Idea 7806

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

Full Idea

Boolos virtually patented the new device of plural quantification.

Gist of Idea

Boolos invented plural quantification

Source

report of George Boolos (To be is to be the value of a variable.. [1984]) by José A. Benardete - Logic and Ontology

Book Ref

'A Companion of Philosophical Logic', ed/tr. Jacquette,Dale [Blackwell 2002], p.359


A Reaction

This would be 'there are some things such that...'


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]