Full Idea
Dummett's best argument for excluding abstract nouns relies upon the entirely Fregean requirement that with any genuine singular term there must be associated a criterion of identity.
Gist of Idea
If a genuine singular term needs a criterion of identity, we must exclude abstract nouns
Source
report of Michael Dummett (Frege Philosophy of Language (2nd ed) [1973]) by Bob Hale - Abstract Objects Ch.2.II
Book Reference
Hale,Bob: 'Abstract Objects' [Blackwell 1987], p.36
A Reaction
This sounds a rather rigid test. Must the criteria be logically precise, or must you just have some vague idea of what you are talking about?