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32

a quality common and peculiar to all the members
of a gath, then there certainly is such a quality;
and you yourself have in this very same breath described
one such quality, in saying that they are all members
of the gath in question. So for every gath
there is a corresponding sam. But it is not
true that for every sam there is a corresponding
gath. Since there is the sam of the phenix, although
it happens not to exist up to date.
But there is no such gath since there is no
phenix. Another point which I observe puzzles
the Hon. Bertrand Russell in his ‘Principles
of Mathematics’ is whether a collection which
has but a single individual member is identical with
that individual or not. The proper answer is

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