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Single Idea 14237

[catalogued under 5. Theory of Logic / G. Quantification / 6. Plural Quantification]

Full Idea

Plurals earn their keep in set theory, to answer Skolem's remark that 'in order to treat of 'sets', we must begin with 'domains' that are constituted in a certain way'. We can speak in the plural of 'the objects', not a 'domain' of objects.

Gist of Idea

We can use plural language to refer to the set theory domain, to avoid calling it a 'set'


Oliver,A/Smiley,T (What are Sets and What are they For? [2006], Intro)

Book Reference

'Metaphysics (Philosophical Perspectives 20)', ed/tr. Hawthorne,John [Blackwell 2006], p.125

A Reaction

[Skolem 1922:291 in van Heijenoort] Zermelo has said that the domain cannot be a set, because every set belongs to it.