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Single Idea 15878

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

Full Idea

The quantifier 'any' unambiguously rules out any presupposition of order in the members of the range of individuals quantified.

Gist of Idea

Some quantifiers, such as 'any', rule out any notion of order within their range

Source

Rom Harré (Laws of Nature [1993], 3)

Book Ref

Harré,Rom: 'Laws of Nature' [Duckworth 1993], p.59


A Reaction

He contrasts this with 'all', 'each' and 'every', which are ambiguous in this respect.


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]