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Full Idea
The word 'any' is preferable to the word 'all' where infinite classes are concerned.
Gist of Idea
'Any' is better than 'all' where infinite classes are concerned
Source
Bertrand Russell (The Principles of Mathematics [1903], §284)
Book Ref
Russell,Bertrand: 'Principles of Mathematics' [Routledge 1992], p.305
A Reaction
The reason must be that it is hard to quantify over 'all' of the infinite members, but it is easier to say what is true of any one of them.