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Ideas for 'fragments/reports', 'Elucidation of some points in E.Schrder' and 'The Principles of Mathematics'

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5. Theory of Logic / G. Quantification / 1. Quantification
'Any' is better than 'all' where infinite classes are concerned [Russell]
     Full Idea: The word 'any' is preferable to the word 'all' where infinite classes are concerned.
     From: Bertrand Russell (The Principles of Mathematics [1903], §284)
     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.