Full Idea
Suppose we introduce Ω not as a term standing for a supposed empty set, but as a paradigm of an empty term, not standing for anything.
Gist of Idea
Maybe we can treat the empty set symbol as just meaning an empty term
Source
Oliver,A/Smiley,T (What are Sets and What are they For? [2006], 1.2)
Book Reference
'Metaphysics (Philosophical Perspectives 20)', ed/tr. Hawthorne,John [Blackwell 2006], p.131
A Reaction
This proposal, which they go on to explore, seems to mean that Ω (i.e. the traditional empty set symbol) is no longer part of set theory but is part of semantics.