Full Idea
Quine even asserts that where we have no infinite domains, quantification can be eliminated in favour of finite disjunction and conjunction.
Gist of Idea
Finite quantification can be eliminated in favour of disjunction and conjunction
Source
report of Willard Quine (works [1961]) by Michael Dummett - Frege Philosophy of Language (2nd ed) Ch.14
Book Reference
Dummett,Michael: 'Frege Philosophy of Language' [Duckworth 1981], p.478
A Reaction
Thus ∃x is expressed as 'this or this or this...', and ∀ is expressed as 'this and this and this...' Dummett raises an eyebrow, but it sounds OK to me.