more on this theme | more from this thinker | more from this text
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'
Source
Oliver,A/Smiley,T (What are Sets and What are they For? [2006], Intro)
Book Ref
'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.