Judging Theistic Arguments
In a very interesting recent article (“Who Are The Best Judges Of Theistic Arguments?”
Sophia 35, 2, 1996, pp.1–12), Mark Nelson argues that the best judges of arguments for
the existence of God are theists whose belief in God is properly basic. I propose to take
up two questions here. First, does Nelson’s argument succeed in establishing his
conclusion? Second, if Nelson’s argument were successful, what significance would it be
appropriate to attribute to his conclusion? I shall begin with a brief rehearsal of his
argument, and a discussion of some questions about the proper formulation of his
argument which immediately arise.
1
Nelson’s case proceeds by analogy with the law. The best judges in legal cases are those
who are able, honest, and without vested interest in the case at hand. By ‘parity of
reasoning’, the best judges in philosophical cases will be those who are able, honest, and
without vested interest in the case at hand. But the only people who are suitably
disinterested in the convincingness of arguments for the existence of God are theists who
take their belief in God to be properly basic (i.e. theists who believe that God exists, but
who do not take the rationality of their belief to depend on the convincingness of any
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theistic argument). Hence the best judges of arguments for the existence of God are able,
honest theists who take their belief in God to be properly basic.
Following Mavrodes, Nelson says that an argument is convincing just in case it is valid,
possesses premises which are known to be true, and possesses premises which are
capable of being known independently of knowledge of the conclusion of the argument.
On this account, if an argument is convincing it is sound, but there may be many
arguments which are sound but not convincing. (In particular, any valid argument from
true but not known premises is sound but not convincing.) Initially, Nelson supposed that
his judges should simply be judging the soundness of arguments for the existence of God.
However, consideration of arguments such as the following:
(1) If 2+2=4, then God exists
(2) 2+2=4
(3) (Therefore) God exists
shows immediately that no reasonable theist can be indifferent to the soundness of all
theistic arguments. Unfortunately, this very same example also shows that no reasonable
theist can be indifferent to the convincingness of all theistic arguments. First, the
argument is valid. (We are free to stipulate that the logic is classical.) Second, reasonable
theists seem bound to concede that the premises are known to be true. (Apart from
anything else, it seems clear that an omniscient God is bound to know them!) And, third,
if God exists, then the premises are capable of being known independently of knowledge
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of the conclusion of the argument, since one could come to know (1) via the testimony of
a reliable informant, and then use (2) to infer (3). (Theists can hardly deny that it is
possible to acquire knowledge via testimony; typically, a great deal of religious
knowledge is supposed to be acquired in this way.) So it appears that there are good
reasons for thinking that no reasonable theist can be indifferent to the convincingness of
our sample argument.
Supposing that this objection is granted, one might think that the proper response is just
to say that Mavrodes’ notion of convincingness is not the notion which Nelson needs for
his argument. In order to investigate this suggestion, we need to ask ourselves exactly
what it is that Nelson’s judges are supposed to be doing.
2
For the moment, let us suppose that, whatever else we shall require of the notion of
convincingness, we shall at least require that only sound arguments can be convincing. A
natural first thought—apparently consistent with everything that Nelson says—is that the
task of the judges is to issue verdicts on the convincingness of arguments (i.e. to say
‘convincing’ or ‘not convincing’ for each theistic argument in turn). Moreover, it seems
natural to think that the best judges will be the ones who get their verdicts right—i.e. if
there are judges who are 100% accurate, then they are the best judges (and, indeed, the
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best possible judges); if there is no–one who is 100% accurate, then the best judges are
those who get the highest percentage of correct verdicts; etc.
But now suppose that there is someone who knows that there is no God, and who uses
just this knowledge in order to judge all theistic arguments unconvincing. Such a person
cannot be bettered as a judge of the convincingness of theistic arguments, for they know
that theistic arguments are one and all unconvincing. Of course, if the main task of the
judges is to issue more detailed verdicts—“unconvincing because invalid”,
“unconvincing because premise is false”, ...—then we shall require other abilities in our
ideal judge, but it will nonetheless be true (in the envisaged circumstances) that knowing
that there is no God is bound to better qualify one as a judge. (There seems to be an
important disanology here with the case of law—a legal judge might know that a
defendent is guilty, but on grounds which are inadmissible at law. In that case, the judge
might be obliged to issue a verdict of ‘not guilty’. But one who knows that there is no
God cannot be obliged to say that a theistic argument is sound.)
Perhaps one might object that one ought not to place too much weight on the possibility
that one might know that there is no God. No matter—for the purposes of the preceding
argument, all we really need consider is the case of someone who (reasonably?) believes
that there is no God in circumstances in which there is no God, and who is prepared to
use this belief in judging the convincingness of theistic arguments. Given that alethic
considerations are an important factor in the assessment of the convincingness of
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arguments, it remains the case that this kind of person cannot be bettered as a judge of the
convincingness of theistic arguments, since their judgments will be universally accurate.
One might be tempted to think that the above argument improperly ignores the modal
component in the notion of a good judge: to be a good judge is not just to make
judgments which happen to be correct, but to be modally robust in making judgments
which are correct (i.e. roughly, to also make correct judgments in nearby worlds). This
sounds right: a good judge of the truth of the proposition that p is someone who is such
that their judgments of the truth of the proposition that p track the truth of the proposition
that p. But then, so long as we hold onto the insistence on an alethic dimension in the
assessment of the convincingness of arguments for the conclusion that p, it seems clear
that the best possible judges of the convincingness of arguments for the conclusion that p
will be those whose judgments track the truth of the proposition that p. Thus, in the case
at hand, the best possible judges of the convincingness of theistic arguments will be those
who beliefs track the truth concerning the proposition that God exists. If there is no God,
then it certainly will not be the case that theists who take their belief in God to be
properly basic are the best judges of the convincingness of arguments for the existence of
God—and even if there is a God, it may be that theists who take their belief in God to be
properly basic are not amongst the best judges, because their beliefs do not track the truth
in nearby worlds. Of course, if God is necessarily existent and the proper basicality of
their beliefs is modally robust, then theists who take their belief in God to be properly
basic can be amongst the best judges—but even then, it seems clear that there will be
others who are also amongst the best judges.
6
Nothing in what I have said really turns on the initial assumption that the judges are
merely to issue a verdict about theistic arguments (“convincing” or “not convincing” as
the case may be). Even if the judges are required to do much more—e.g. to document all
of the logical failings of unconvincing arguments—it will still be the case that one of the
qualities which any ideal judge of arguments for the proposition that p will have is the
ability to track the truth of the proposition that p. If there is an alethic dimension to the
convincingness of arguments, then it seems clear that Nelson’s argument is highly
suspect—theists who take their belief in God to be properly basic will be among the best
judges of the convincingess of theistic arguments only if certain much contested
conditions obtain, and there is a wide range of conceivable circumstances in which they
will not be amongst the best judges at all.
3
In view of the conclusion of the preceding section, perhaps it is now time to consider the
possibility that there ought to be no alethic dimension to the notion of convincingness in
which we are interested: when we assess theistic arguments for convincingness, we
should ignore questions about the truth of the premises of those arguments, and instead
focus exclusively on the ability of the argument to bring about certain kinds of revision of
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belief in reasonable persons. At least at first sight, it seems that, if an argument can bring
some reasonable people with reasonable prior beliefs to believe in God, then that
argument is convincing for those people. And, if an argument can bring all reasonable
people with reasonable prior beliefs to believe in God, then that argument is convincing
tout court. Can something like Nelson’s conclusions be established using this kind of
notion of convincingness? Are theists whose belief in God is properly basic the best
judges of the convincingness (in the just specified sense) of arguments for the existence
of God?
Consider the argument discussed in section 1 above. It is obvious that this is not a
argument for the existence of God which is convincing tout court (in the sense now under
consideration)—and it is equally plain that this argument could only be a convincing
argument for a particular person in very special circumstances (and in a way in which any
non–circular argument could be convincing for particular people in special
circumstances). It doesn’t require any particular expertise to be able to make this
judgement—first-year philosophy students and non–philosophers are perfectly capable of
making an accurate assessment of the convincingness of the argument (in the sense now
under consideration). One ‘sceptical’ thought which now arises is that there may not be
any theistic arguments whose convincingness cannot be assessed by any moderately
intelligent person. Certainly, it is far from obvious that there is any sense of ‘expertise’ in
which moderately intelligent persons ought to feel the need to defer to ‘expert’ opinion
when confronted with questions about the convincingness of any arguments for the
existence of God—and it is perfectly clear that there is no sense of ‘expertise’ in which
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moderately intelligent persons ought to feel the need to defer to ‘expert’ opinion when
confronted with questions about the convincingness of some arguments for the existence
of God (e.g. those which are obviously unconvincing). Moreover, a little reflection on the
fact, that whether one ought to find an argument convincing depends upon your doxastic
state (e.g. what else you believe, how firmly you believe it, and so on), seems to suggest
that it is unlikely that there are any arguments for the existence of God which are
convincing tout court—after all, one person’s modus ponens is another person’s modus
tollens. (Perhaps it is also worth noting here that, if there are people who know that there
is no God, then there can be no arguments for the existence of God which are convincing
tout court—there is a route back from convincingness tout court to alethic
considerations.) But once we focus on properties of arguments which are possessed only
relative to target doxastic set–ups—rather than on characteristics of arguments which can
be recognised by alethically privileged individuals quite apart from their philosophical
skills—the conclusion for which Nelson is arguing begins to sound quite implausible.
Even if we were to suppose that there is something like ‘expertise’ or ‘judgment’ which
is required in the assessment of the convincingness of arguments for the existence of
God, it isn’t clear why we shouldn’t simply insist that expert judgments just are the
judgments of those who are best at assessing the convincingness of arguments, regardless
of their beliefs about the conclusions of the arguments. True enough, one might have
reasons for wanting certain arguments to fail to be convincing—one might want theistic
arguments to fail to be convincing because one does not want to believe in God—but all
that matters is that one in fact makes judgements which are not influenced by one’s
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desires. The best judges of the convincingness of theistic arguments may be those who
most desire that the conclusions of those arguments are true, provided only that those
desires do not illegitimately influence the process of assessment. (Again, there may be an
important disanalogy with the law. If I write a book which trenchantly defends theism,
and succeed in my aim of winning the Templeton Prize, you may well be justifiably
suspicious about the arguments which I have used. However, this kind of case aside, I
suspect that most philosophers are much more concerned about the convincingness of
their arguments than Nelson allows. (Who would not now be embarassed to have been a
proponent of Malcolm’s version of the ontological argument in Proslogion 3?) Indeed,
the idea that philosophers actually are or would be illegitimately influenced by desire in
their assessment of the convincingness of arguments seems to me to be rather
implausible. (At least in part, this is because there is so little to gain, and so much (face)
to lose: mistaken judgements about the convincingness of arguments are sources of
embarrassment when they are highlighted in the philosophical literature. In the legal case,
of course, there is far more to lose—but there is also much more to gain.) Moreover,
there are also important institutional differences. In the case of philosophical argument,
one is obliged to make up one’s own mind, even if what one decides to do is to defer to a
certain kind of expert opinion—it simply isn’t the case that there are people who are
delegated to form our opinions about philosophical questions. However, in the legal case,
the judge is to produce a verdict which, in some sense, represents or constitutes the
community judgment—and it is in part for this reason that we try to make sure that
partisan desires play no part in judicial decisions. In the philosophical case, those of us
who are not inclined to follow James’ line on the will to believe may well feel that it is an
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individual failing to allow desires to infect our judgments about the worth of
arguments—but we are not likely to follow Clifford in holding that those who do allow
desire to infect judgement in this way somehow pollute the intellectual environment for
everyone else.)
Nelson makes much of the suggestion that good judges will be indifferent to the content
of their judgments. However, it seems to me that his argument at this point may rely on
the choice of the less plausible of two different conceptions of ‘best judge’. On the one
hand, as I have already argued, it might be that the best judge is one who does not allow
his desires to influence his judgment, no matter what the content or strength of those
desires: that is a kind of ideal to which philosophers might aspire (though it is
controversial whether they ought to do so). Given this conception of ‘best judge’, there is
no reason why the best judges need to be indifferent to the truth or convincingness of the
arguments which they consider (though they may perhaps need to be prepared to follow
arguments where they lead). On the other hand, it might be that the best judge is the one
who is deemed most likely not to allow her desires to influence her judgments when
human frailties are factored in. Given this conception of ‘best judge’, there may be some
reason to think that the best judges will be indifferent to the convincingness of the
arguments which they consider—particularly since it is likely to be rather hard to get
suitably independent evidence of (or objective judgments about) the desire–independence
of one’s judgments. (Perhaps there is something approaching a parallel to the legal case
here: it is hard for judges to provide an objective assessment of the desire-independence
of their judgments in some cases in which they have an interest; and it is hard for
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philosophers to provide an objective assessment of the desire–independence of their
judgments of arguments in some cases in which they have an interest in the truth of the
conclusion of those arguments. However, the appropriate conclusion to draw in the two
cases seems to be rather different: in the legal case, we build in institutional provisions
which try to make it the case that judges do not need to make the difficult assessments of
desire–independence; in the philosophical case, we simply acknowledge that desire–
independence is an ideal to which we aspire, and we criticise others when we note that
they seem not to be living up to this ideal.)
Although there is much more to be said about the material discussed in this section, it
seems to me that it is not unreasonable to conclude that it is unlikely that Nelson’s
argument will stand if we focus on a conception of convincingness which has no alethic
dimension. If our question is one about the qualities of ideal judges, abstracting from any
considerations about psychological limitations, then there is no reason at all to think that
ideal judges of theistic arguments will be theists whose belief in God is properly basic. If,
however, our question is one about who makes the best judgments given the cognitive
limitations to which humans are invariably subject, then it is hard to see that there is any
short and satisfactory answer—make up your own mind about the worth of theistic
arguments and then you will have the best answer you are likely to get about who are the
best judges of theistic arguments (namely, whoever agrees with the judgments that you
have made!).
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4
Nelson insists that his argument is only meant to establish that theists whose belief in
God is properly basic are the best judges of the convincingness of arguments for the
existence of God; he allows that it might well be the case that atheists whose belief that
God does not exist is properly basic are the best judges of the convincingness of
arguments against the existence of God. Moreover, he might have gone on to say—
though he does not—that for any of the many alternatives to the traditional conception of
God, the best judges of the convincingness of arguments for the existence of any
alternative God are those whose belief in the existence of that God is properly basic. So,
for example, the best judges of arguments for the existence of an omnipotent, omniscient
and perfectly evil God—hereafter, God*—are those whose belief in God* is properly
basic. Now, certainly, the case which Nelson makes for the claim, that theists whose
belief in God is properly basic are the best judges of the convincingness of arguments for
the existence of God, can be paralleled by a case for the claim, that the best judges of
arguments for the existence God* are those whose belief in the existence God* is
properly basic, which seems just as good as the case which Nelson makes for his
favoured claim. And yet this seems to make a logical difficulty for the claim which
Nelson defends—for, of course, the claim that God exists and the claim that God* exists
are not logically independent. Judgments about the convincingness of arguments for God
cannot be independent of judgments about the convincingness of arguments for God*—
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indeed, one of the standard criticisms of arguments for the existence of God is that they
can all be paralleled by equally ‘convincing’ arguments for the existence of God*—so it
is hard to see how it could be the case that certain theists are the best judges of the
convincingness of arguments for the existence of God, and certain theists* are the best
judges of the convincingness of arguments for the existence of God*. (Of course, the
same point could be made about judges of the convincingness of arguments against the
existence of God. But there may be difficulties with the idea that belief in the nonexistence of God could be properly basic. At any rate, I have chosen to focus on
questions about God* in order to side–step this difficulty.)
Perhaps we can make this argument a bit more explicit. Suppose that the proposition that
qi entails the proposition that not qj for all j≠i. Then a convincing argument that qi will be
a convincing argument that not qj for all j≠i. Hence, if one is in a position to judge that
there is a convincing argument that qi, one is also in a position to judge that there is a
convincing argument that not qj for all j≠i—and hence one is in a position to judge that
there is no convincing argument that qj, for all j≠i. So, consider a judge who has a
properly basic belief that qi, and who (correctly) judges that a particular argument that qi
is convincing. This judge must then be a best possible judge of the convincingness of
arguments for the conclusions that qj and that not qj, for all j≠i—and that contradicts the
idea that the best possible judge of the convincingness of an argument for the conclusion
that r is one whose belif that r is properly basic (at least for a suitable range of
propositions which includes all of the propositions qk). Of course, the contradiction can
be avoided if there are no convincing arguments for any of the propositions that qi—but
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the claim that theists whose belief in God is properly basic are the best judges of theistic
arguments provided that none of those arguments is convincing (nor judged by the judges
in question to be convincing?) is rather less interesting than the claim with which Nelson
began.
5
Even if the argument of the preceding section is incorrect, there is an aspect of the
discussion which does stand: Nelson concedes that theists whose belief in God is
properly basic are not the best judges of the convincingness of arguments against the
existence of God (since they have a vested interest in the unconvincingness of these
arguments). Moreover, he does hint that it might be that non–theists whose belief in the
non–existence of God is properly basic are the best judges of the convincingness of
arguments against the existence of God. The parity of the situation naturally suggests the
following kind of question: What would be the consequences if Nelson’s argument were
correct? Suppose certain theists are the best judges of the convincingness of arguments
for the existence of God—what then?
In advance, it seems that anything could happen. Perhaps the best judges of the
convincingness of arguments against the existence of God will unanimously agree that a
particular argument against the existence of God is convincing. Perhaps the best judges of
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the convincingness of arguments for the existence of God will unanimously agree that a
particular argument for the existence of God is convincing. Of course, we won’t get both
of these outcomes if the judges are 100% reliable (though, in that case, any one of the
relevant judges would serve as an oracle.)
If the best judges are not 100% reliable, then all kinds of possible scenarios open up.
Suppose that for each of 10 arguments, 10% of the judges judge that it is the sole
convincing argument for the existence of God. Should we who hear the verdict conclude
that there is no convincing argument for the existence of God? (There are well-known
limitative theorems on group decision–making which are likely to be relevant to the
discussion at this point. However, I shall not take up these rather tangential
considerations here.)
Moreover, there is clearly going to be an identification problem: even if it is true that the
best possible judges are certain kinds of theists who take their belief in God to be
properly basic, how are we know whether any of the best actual judges belong to this
group? Clearly, there are all kinds of possible grounds for scepticism here: perhaps there
really isn’t anyone whose belief in God is properly basic; perhaps there are people whose
belief in God is properly basic, but these are all people utterly without logical acumen;
and so on. (Of course, the concept of ‘properly basic belief’ is not unproblematic.
However, it would take us too far afield to consider the different ways in which the
concept might be understood, not to mention the consequent questions about whether it
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is—or can be—the case that anything falls under the concept on those different
understandings.)
And so on. The upshot seems to be that, even if Nelson’s argument were good, the claim
that it established would be a mere curiousity—i.e. not something which is in itself of any
great theoretical importance. Perhaps there are further plausible assumptions which could
be added to it in order to get some interesting consequences—but what those assumptions
might be is at present something at which we can only guess.
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In sum, I have argued: (i) that Nelson’s argument fails no matter how the controversial
notion of ‘convincingness’ is understood; (ii) that even if this were not so, Nelson’s
argument would be undermined by a kind of Many Gods objection; and (iii) that even if
this were not so—and even if Nelson’s argument were sound—it is far from clear that the
conclusion of his argument has any interesting consequences for non–theists (or theists).
Even if I am right about all this—and I must admit that some parts of my discussion are
rather incomplete—it still seems to me that there is much of value in Nelson’s paper: the
questions to which his argument gives rise touch on many important issues in philosophy
of religion, and his discussion casts new light on a not insignificant number of them. 1
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NOTES
1
Thanks to an anonymous referee at Sophia for several very helpful comments which led to improvements
in the final version of this paper.