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Full Idea
One may, on good grounds, deny that reference to a totality necessarily implies reference to all single elements of it or, in other words, that 'all' means the same as an infinite logical conjunction.
Gist of Idea
Reference to a totality need not refer to a conjunction of all its elements
Source
Kurt Gödel (Russell's Mathematical Logic [1944], p.455)
Book Ref
'Philosophy of Mathematics: readings (2nd)', ed/tr. Benacerraf/Putnam [CUP 1983], p.455