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where the speaker does not fully commit himself
as to what is the instance he is speaking of.
As the general is that which no amount of
fact can constitute true, so the indefinite
is that which no amount of fact can constitute
false; for its asserter only says
the future will produce a case of such
and such a kind.

These two definitions will be found helpful in
discussing the question whether or not two collections
can be each greater than the other. But
first we must answer the question, What
is meant by a collection? I answer, It is a
whole of ultimate parts which are
discrete objects? What, then, is meant by
discrete objects? I answer, objects which,
whether it be in human power to distinguish them,
are supposed to be in themselves of such a
nature as to be susceptible of being so described
that every one is distinguished from every other.