In the first place, we have hitherto been considering only whether it
is true, as a matter of empirical fact, that all our true ideas are
useful, and those which are not true, never. Professor James seems,
at least, to mean that, _as a matter of fact,_ this is so; and I have
only urged hitherto that _as a matter of fact_, it is not so. But as we
have seen, he also asserts something more than this--he also asserts
that this property of utility is the _only_ one which belongs to all
our true ideas. And this further assertion cannot possibly be true, if,
as I have urged, there are many true ideas which do not possess this
property; or if, as I have urged, many ideas, which do possess it, are
nevertheless not true. The objections already considered are, then,
sufficient to overthrow this further assertion also. If there are any
true ideas, which are not useful, or if any, which are useful, are not
true, it cannot be the case that utility is the _only_ property which
true ideas have in common. There must be some property, other than
utility, which is common to all true ideas; and a correct theory as to
what property it is that does belong to all true ideas, and to none but
true ones, is still to seek. The empirical objections, hitherto given,
are then sufficient objections to this further assertion also; but they
are not the only objections to it. There is another and still more
serious objection to the assertion that utility is the _only_ property
which all true ideas have in common. For this assertion does not
_merely_ imply that, as a matter of fact, all our true ideas and none
but true ideas are useful. It does, indeed, imply this; and therefore
the fact that these empirical assertions are not true is sufficient
to refute it. But it also implies something more. If utility were the
_only_ property which all true ideas had in common, it would follow
not merely that all true ideas are useful, but also that any idea,
which was useful, _would_ be true _no matter what other properties
it might have or might fail to have._ There can, I think, be no doubt
that Professor James does frequently speak as if this were the case;
and there is an independent and still more serious objection to this
implication. Even if it were true (as it is not) that all our true
ideas and none but true ideas are, as a matter of fact, useful, we
should still have a strong reason to object to the statement that any
idea, which was useful, _would_ be true. For it implies that if such an
idea as mine, that Professor James exists, and has certain thoughts,
_were_ useful, this idea would be true, _even if_ no such person as
Professor James ever did exist. It implies that, if the idea that I had
the seven of diamonds in my hand at cards last night, _were_ useful,
this idea would be true, even if, in fact, I did not have that card
in my hand. And we can, I think, see quite plainly that this is not
the case. With regard to some kinds of ideas, at all events--ideas
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