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-matics, because it makes no difference what kind
of objects they are that are in series, nor whether it
is a series in time, in space, or in logic. The
doctrine of multitude, on the other hand, is not pure
mathematics. For the objects it studies, the multitudes
are in a linear series exactly as the doctrine
of ordinal numbers supposes; and since the
doctrine of ordinal numbers permits the members
of the series to be objects of any kind, it follows that
it permits them to be multitudes. Thus the doctrine
of multitude is nothing but a special application
of the doctrine of ordinal numbers. But the special
objects of its series have a special character which
permits them to be studied from a special point
of view; and that point of view is a logical point of view.
It is not the pure mathematical forms