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of relation and of possibility.

If by the possible you mean
no more than that which you
do not know to be false, then everything
in mathematics not already demonstrated
to be false is possible. No doubt, that logical
situation is the basis of the conception
of possibility. But so definin,g the possible
a relation of the kind in question is possible until
you have demonstrated that the collections of As and of the
Bs have definite characters which
conflict with
the supposition that there is such a relation.

But I think it would be more convenient
to say not that everything in mathematics
about which you happen to be ignorant is possible
but that only that is possible of whose
falsity no definite demonstration ever will
be given. The question then would be
whether anything can render it demonstrable