Lies, Religion, and Miscalibrated Priors

In a post from some time ago, Scott Alexander asks why it is so hard to believe that people are lying, even in situations where it should be obvious that they made up the whole story:

The weird thing is, I know all of this. I know that if a community is big enough to include even a few liars, then absent a strong mechanism to stop them those lies should rise to the top. I know that pretty much all of our modern communities are super-Dunbar sized and ought to follow that principle.

And yet my System 1 still refuses to believe that the people in those Reddit threads are liars. It’s actually kind of horrified at the thought, imagining them as their shoulders slump and they glumly say “Well, I guess I didn’t really expect anyone to believe me”. I want to say “No! I believe you! I know you had a weird experience and it must be hard for you, but these things happen, I’m sure you’re a good person!”

If you’re like me, and you want to respond to this post with “but how do you know that person didn’t just experience a certain coincidence or weird psychological trick?”, then before you comment take a second to ask why the “they’re lying” theory is so hard to believe. And when you figure it out, tell me, because I really want to know.

The strongest reason for this effect is almost certainly a moral reason. In an earlier post, I discussed St. Thomas’s explanation for why one should give a charitable interpretation to someone’s behavior, and in a follow up, I explained the problem of applying that reasoning to the situation of judging whether a person is lying or not. St. Thomas assumes that the bad consequences of being mistaken about someone’s moral character will be minor, and most of the time this is true. But if we asking the question, “are they telling the truth or are they lying?”, the consequences can sometimes be very serious if we are mistaken.

Whether or not one is correct in making this application, it is not hard to see that this is the principal answer to Scott’s question. It is hard to believe the “they’re lying” theory not because of the probability that they are lying, but because we are unwilling to risk injuring someone with our opinion. This is without doubt a good motive from a moral standpoint.

But if you proceed to take this unwillingness as a sign of the probability that they are telling the truth, this would be a demonstrably miscalibrated probability assignment. Consider a story on Quora which makes a good example of Scott’s point:

I shuffled a deck of cards and got the same order that I started with.

No I am not kidding and its not because I can’t shuffle.

Let me just tell the story of how it happened. I was on a trip to Europe and I bought a pack of playing cards at the airport in Madrid to entertain myself on the flight back to Dallas.

It was about halfway through the flight after I’d watched Pixels twice in a row (That s literally the only reason I even remembered this) And I opened my brand new Real Madrid Playing Cards and I just shuffled them for probably like 30 minutes doing different tricks that I’d learned at school to entertain myself and the little girl sitting next to me also found them to be quite cool.

I then went to look at the other sides of the cards since they all had a picture of the Real Madrid player with the same number on the back. That’s when I realized that they were all in order. I literally flipped through the cards and saw Nacho-Fernandes, Ronaldo, Toni Kroos, Karim Benzema and the rest of the team go by all in the perfect order.

Then a few weeks ago when we randomly started talking about Pixels in AP Statistics I brought up this story and my teacher was absolutely amazed. We did the math and the amount of possibilities when shuffling a deck of cards is 52! Meaning 52 x 51 x 50 x 49 x 48….

There were 8.0658175e+67 different combinations of cards that I could have gotten. And I managed to get the same one twice.

The lack of context here might make us more willing to say that Arman Razaali is lying, compared to Scott’s particular examples. Nonetheless, I think a normal person will feel somewhat unwilling to say, “he’s lying, end of story.” I certainly feel that myself.

It does not take many shuffles to essentially randomize a deck. Consequently if Razaali’s statement that he “shuffled them for probably like 30 minutes” is even approximately true, 1 in 52! is probably a good estimate of the chance of the outcome that he claims, if we assume that it happened by chance. It might be some orders of magnitude less since there might be some possibility of “unshuffling.” I do not know enough about the physical process of shuffling to know whether this is a real possibility or not, but it is not likely to make a significant difference: e.g. the difference between 10^67 and 10^40 would be a huge difference mathematically, but it would not be significant for our considerations here, because both are simply too large for us to grasp.

People demonstrably lie at far higher rates than 1 in 10^67 or 1 in 10^40. This will remain the case even if you ask about the rate of “apparently unmotivated flat out lying for no reason.” Consequently, “he’s lying, period,” is far more likely than “the story is true, and happened by pure chance.” Nor can we fix this by pointing to the fact that an extraordinary claim is a kind of extraordinary evidence. In the linked post I said that the case of seeing ghosts, and similar things, might be unclear:

Or in other words, is claiming to have seen a ghost more like claiming to have picked 422,819,208, or is it more like claiming to have picked 500,000,000?

That remains undetermined, at least by the considerations which we have given here. But unless you have good reasons to suspect that seeing ghosts is significantly more rare than claiming to see a ghost, it is misguided to dismiss such claims as requiring some special evidence apart from the claim itself.

In this case there is no such unclarity – if we interpret the claim as “by pure chance the deck ended up in its original order,” then it is precisely like claiming to have picked 500,000,000, except that it is far less likely.

Note that there is some remaining ambiguity. Razaali could defend himself by saying, “I said it happened, I didn’t say it happened by chance.” Or in other words, “but how do you know that person didn’t just experience a certain coincidence or weird psychological trick?” But this is simply to point out that “he’s lying” and “this happened by pure chance” are not exhaustive alternatives. And this is true. But if we want to estimate the likelihood of those two alternatives in particular, we must say that it is far more likely that he is lying than that it happened, and happened by chance. And so much so that if one of these alternatives is true, it is virtually certain that he is lying.

As I have said above, the inclination to doubt that such a person is lying primarily has a moral reason. This might lead someone to say that my estimation here also has a moral reason: I just want to form my beliefs in the “correct” way, they might say: it is not about whether Razaali’s story really happened or not.

Charles Taylor, in chapter 15 of A Secular Age, gives a similar explanation of the situation of former religious believers who apparently have lost their faith due to evidence and argument:

From the believer’s perspective, all this falls out rather differently. We start with an epistemic response: the argument from modern science to all-around materialism seems quite unconvincing. Whenever this is worked out in something closer to detail, it seems full of holes. The best examples today might be evolution, sociobiology, and the like. But we also see reasonings of this kind in the works of Richard Dawkins, for instance, or Daniel Dennett.

So the believer returns the compliment. He casts about for an explanation why the materialist is so eager to believe very inconclusive arguments. Here the moral outlook just mentioned comes back in, but in a different role. Not that, failure to rise to which makes you unable to face the facts of materialism; but rather that, whose moral attraction, and seeming plausibility to the facts of the human moral condition, draw you to it, so that you readily grant the materialist argument from science its various leaps of faith. The whole package seems plausible, so we don’t pick too closely at the details.

But how can this be? Surely, the whole package is meant to be plausible precisely because science has shown . . . etc. That’s certainly the way the package of epistemic and moral views presents itself to those who accept it; that’s the official story, as it were. But the supposition here is that the official story isn’t the real one; that the real power that the package has to attract and convince lies in it as a definition of our ethical predicament, in particular, as beings capable of forming beliefs.

This means that this ideal of the courageous acknowledger of unpalatable truths, ready to eschew all easy comfort and consolation, and who by the same token becomes capable of grasping and controlling the world, sits well with us, draws us, that we feel tempted to make it our own. And/or it means that the counter-ideals of belief, devotion, piety, can all-too-easily seem actuated by a still immature desire for consolation, meaning, extra-human sustenance.

What seems to accredit the view of the package as epistemically-driven are all the famous conversion stories, starting with post-Darwinian Victorians but continuing to our day, where people who had a strong faith early in life found that they had reluctantly, even with anguish of soul, to relinquish it, because “Darwin has refuted the Bible”. Surely, we want to say, these people in a sense preferred the Christian outlook morally, but had to bow, with whatever degree of inner pain, to the facts.

But that’s exactly what I’m resisting saying. What happened here was not that a moral outlook bowed to brute facts. Rather we might say that one moral outlook gave way to another. Another model of what was higher triumphed. And much was going for this model: images of power, of untrammelled agency, of spiritual self-possession (the “buffered self”). On the other side, one’s childhood faith had perhaps in many respects remained childish; it was all too easy to come to see it as essentially and constitutionally so.

But this recession of one moral ideal in face of the other is only one aspect of the story. The crucial judgment is an all-in one about the nature of the human ethical predicament: the new moral outlook, the “ethics of belief” in Clifford’s famous phrase, that one should only give credence to what was clearly demonstrated by the evidence, was not only attractive in itself; it also carried with it a view of our ethical predicament, namely, that we are strongly tempted, the more so, the less mature we are, to deviate from this austere principle, and give assent to comforting untruths. The convert to the new ethics has learned to mistrust some of his own deepest instincts, and in particular those which draw him to religious belief. The really operative conversion here was based on the plausibility of this understanding of our ethical situation over the Christian one with its characteristic picture of what entices us to sin and apostasy. The crucial change is in the status accorded to the inclination to believe; this is the object of a radical shift in interpretation. It is no longer the impetus in us towards truth, but has become rather the most dangerous temptation to sin against the austere principles of belief-formation. This whole construal of our ethical predicament becomes more plausible. The attraction of the new moral ideal is only part of this, albeit an important one. What was also crucial was a changed reading of our own motivation, wherein the desire to believe appears now as childish temptation. Since all incipient faith is childish in an obvious sense, and (in the Christian case) only evolves beyond this by being child-like in the Gospel sense, this (mis)reading is not difficult to make.

Taylor’s argument is that the arguments for unbelief are unconvincing; consequently, in order to explain why unbelievers find them convincing, he must find some moral explanation for why they do not believe. This turns out to be the desire to have a particular “ethics of belief”: they do not want to have beliefs which are not formed in such and such a particular way. This is much like the theoretical response above regarding my estimation of the probability that Razaali is lying, and how that might be considered a moral estimation, rather than being concerned with what actually happened.

There are a number of problems with Taylor’s argument, which I may or may not address in the future in more detail. For the moment I will take note of three things:

First, neither in this passage nor elsewhere in the book does Taylor explain in any detailed way why he finds the unbeliever’s arguments unconvincing. I find the arguments convincing, and it is the rebuttals (by others, not by Taylor, since he does not attempt this) that I find unconvincing. Now of course Taylor will say this is because of my particular ethical motivations, but I disagree, and I have considered the matter exactly in the kind of detail to which he refers when he says, “Whenever this is worked out in something closer to detail, it seems full of holes.” On the contrary, the problem of detail is mostly on the other side; most religious views can only make sense when they are not worked out in detail. But this is a topic for another time.

Second, Taylor sets up an implicit dichotomy between his own religious views and “all-around materialism.” But these two claims do not come remotely close to exhausting the possibilities. This is much like forcing someone to choose between “he’s lying” and “this happened by pure chance.” It is obvious in both cases (the deck of cards and religious belief) that the options do not exhaust the possibilities. So insisting on one of them is likely motivated itself: Taylor insists on this dichotomy to make his religious beliefs seem more plausible, using a presumed implausibility of “all-around materialism,” and my hypothetical interlocutor insists on the dichotomy in the hope of persuading me that the deck might have or did randomly end up in its original order, using my presumed unwillingness to accuse someone of lying.

Third, Taylor is not entirely wrong that such an ethical motivation is likely involved in the case of religious belief and unbelief, nor would my hypothetical interlocutor be entirely wrong that such motivations are relevant to our beliefs about the deck of cards.

But we need to consider this point more carefully. Insofar as beliefs are voluntary, you cannot make one side voluntary and the other side involuntary. You cannot say, “Your beliefs are voluntarily adopted due to moral reasons, while my beliefs are imposed on my intellect by the nature of things.” If accepting an opinion is voluntary, rejecting it will also be voluntary, and if rejecting it is voluntary, accepting it will also be voluntary. In this sense, it is quite correct that ethical motivations will always be involved, even when a person’s opinion is actually true, and even when all the reasons that make it likely are fully known. To this degree, I agree that I want to form my beliefs in a way which is prudent and reasonable, and I agree that this desire is partly responsible for my beliefs about religion, and for my above estimate of the chance that Razaali is lying.

But that is not all: my interlocutor (Taylor or the hypothetical one) is also implicitly or explicitly concluding that fundamentally the question is not about truth. Basically, they say, I want to have “correctly formed” beliefs, but this has nothing to do with the real truth of the matter. Sure, I might feel forced to believe that Razaali’s story isn’t true, but there really is no reason it couldn’t be true. And likewise I might feel forced to believe that Taylor’s religious beliefs are untrue, but there really is no reason they couldn’t be.

And in this respect they are mistaken, not because anything “couldn’t” be true, but because the issue of truth is central, much more so than forming beliefs in an ethical way. Regardless of your ethical motives, if you believe that Razaali’s story is true and happened by pure chance, it is virtually certain that you believe a falsehood. Maybe you are forming this belief in a virtuous way, and maybe you are forming it in a vicious way: but either way, it is utterly false. Either it in fact did not happen, or it in fact did not happen by chance.

We know this, essentially, from the “statistics” of the situation: no matter how many qualifications we add, lies in such situations will be vastly more common than truths. But note that something still seems “unconvincing” here, in the sense of Scott Alexander’s original post: even after “knowing all this,” he finds himself very unwilling to say they are lying. In a discussion with Angra Mainyu, I remarked that our apparently involuntary assessments of things are more like desires than like beliefs:

So rather than calling that assessment a belief, it would be more accurate to call it a desire. It is not believing something, but desiring to believe something. Hunger is the tendency to go and get food; that assessment is the tendency to treat a certain claim (“the USA is larger than Austria”) as a fact. And in both cases there are good reasons for those desires: you are benefited by food, and you are benefited by treating that claim as a fact.

In a similar way, because we have the natural desire not to injure people, we will naturally desire not to treat “he is lying” as a fact; that is, we will desire not to believe it. The conclusion that Angra should draw in the case under discussion, according to his position, is that I do not “really believe” that it is more likely that Razaali is lying than that his story is true, because I do feel the force of the desire not to say that he is lying. But I resist that desire, in part because I want to have reasonable beliefs, but most of all because it is false that Razaali’s story is true and happened by chance.

To the degree that this desire feels like a prior probability, and it does feel that way, it is necessarily miscalibrated. But to the degree that this desire remains nonetheless, this reasoning will continue to feel in some sense unconvincing. And it does in fact feel that way to me, even after making the argument, as expected. Very possibly, this is not unrelated to Taylor’s assessment that the argument for unbelief “seems quite unconvincing.” But discussing that in the detail which Taylor omitted is a task for another time.




Minimizing Motivated Beliefs

In the last post, we noted that there is a conflict between the goal of accurate beliefs about your future actions, and your own goals about your future. More accurate beliefs will not always lead to a better fulfillment of those goals. This implies that you must be ready to engage in a certain amount of trade, if you desire both truth and other things. Eliezer Yudkowsky argues that self-deception, and therefore also such trade, is either impossible or stupid, depending on how it is understood:

What if self-deception helps us be happy?  What if just running out and overcoming bias will make us—gasp!—unhappy?  Surely, true wisdom would be second-order rationality, choosing when to be rational.  That way you can decide which cognitive biases should govern you, to maximize your happiness.

Leaving the morality aside, I doubt such a lunatic dislocation in the mind could really happen.

Second-order rationality implies that at some point, you will think to yourself, “And now, I will irrationally believe that I will win the lottery, in order to make myself happy.”  But we do not have such direct control over our beliefs.  You cannot make yourself believe the sky is green by an act of will.  You might be able to believe you believed it—though I have just made that more difficult for you by pointing out the difference.  (You’re welcome!)  You might even believe you were happy and self-deceived; but you would not in fact be happy and self-deceived.

For second-order rationality to be genuinely rational, you would first need a good model of reality, to extrapolate the consequences of rationality and irrationality.  If you then chose to be first-order irrational, you would need to forget this accurate view. And then forget the act of forgetting.  I don’t mean to commit the logical fallacy of generalizing from fictional evidence, but I think Orwell did a good job of extrapolating where this path leads.

You can’t know the consequences of being biased, until you have already debiased yourself.  And then it is too late for self-deception.

The other alternative is to choose blindly to remain biased, without any clear idea of the consequences.  This is not second-order rationality.  It is willful stupidity.

There are several errors here. The first is the denial that belief is voluntary. As I remarked in the comments to this post, it is best to think of “choosing to believe a thing” as “choosing to treat this thing as a fact.” And this is something which is indeed voluntary. Thus for example it is by choice that I am, at this very moment, treating it as a fact that belief is voluntary.

There is some truth in Yudkowsky’s remark that “you cannot make yourself believe the sky is green by an act of will.” But this is not because the thing itself is intrinsically involuntary. On the contrary, you could, if you wished, choose to treat the greenness of the sky as a fact, at least for the most part and in most ways. The problem is that you have no good motive to wish to act this way, and plenty of good motives not to act this way. In this sense, it is impossible for most of us to believe that the sky is green in the same way it is impossible for most of us to commit suicide; we simply have no good motive to do either of these things.

Yudkowsky’s second error is connected with the first. Since, according to him, it is impossible to deliberately and directly deceive oneself, self-deception can only happen in an indirect manner: “The other alternative is to choose blindly to remain biased, without any clear idea of the consequences.  This is not second-order rationality.  It is willful stupidity.” The idea is that ordinary beliefs are simply involuntary, but we can have beliefs that are somewhat voluntary by choosing “blindly to remain biased, without any clear idea of the consequences.” Since this is “willful stupidity,” a reasonable person would completely avoid such behavior, and thus all of his beliefs would be involuntary.

Essentially, Yudkowsky is claiming that we have some involuntary beliefs, and that we should avoid adding any voluntary beliefs to our involuntary ones. This view is fundamentally flawed precisely because all of our beliefs are voluntary, and thus we cannot avoid having voluntary beliefs.

Nor is it “willful stupidity” to trade away some truth for the sake of other good things. Completely avoiding this is in fact intrinsically impossible. If you are seeking one good, you are not equally seeking a distinct good; one cannot serve two masters. Thus since all people are interested in some goods distinct from truth, there is no one who fails to trade away some truth for the sake of other things. Yudkowsky’s mistake here is related to his wishful thinking about wishful thinking which I discussed previously. In this way he views himself, at least ideally, as completely avoiding wishful thinking. This is both impossible and unhelpful, impossible in that everyone has such motivated beliefs, and unhelpful because such beliefs can in fact be beneficial.

A better attitude to this matter is adopted by Robin Hanson, as for example when he discusses motives for having opinions in a post which we previously considered here. Bryan Caplan has a similar view, discussed here.

Once we have a clear view of this matter, we can use this to minimize the loss of truth that results from such beliefs. For example, in a post linked above, we discussed the argument that fictional accounts consistently distort one’s beliefs about reality. Rather than pretending that there is no such effect, we can deliberately consider to what extent we wish to be open to this possibility, depending on our other purposes for engaging with such accounts. This is not “willful stupidity”; the stupidity would to be engage in such trades without realizing that such trades are inevitable, and thus not to realize to what extent you are doing it.

Consider one of the cases of voluntary belief discussed in this earlier post. As we quoted at the time, Eric Reitan remarks:

For most horror victims, the sense that their lives have positive meaning may depend on the conviction that a transcendent good is at work redeeming evil. Is the evidential case against the existence of such a good really so convincing that it warrants saying to these horror victims, “Give up hope”? Should we call them irrational when they cling to that hope or when those among the privileged live in that hope for the sake of the afflicted? What does moral decency imply about the legitimacy of insisting, as the new atheists do, that any view of life which embraces the ethico-religious hope should be expunged from the world?

Here, Reitan is proposing that someone believe that “a transcendent good is at work redeeming evil” for the purpose of having “the sense that their lives have positive meaning.” If we look at this as it is, namely as proposing a voluntary belief for the sake of something other than truth, we can find ways to minimize the potential conflict between accuracy and this other goal. For example, the person might simply believe that “my life has a positive meaning,” without trying to explain why this is so. For the reasons given here, “my life has a positive meaning” is necessarily more probable and more known than any explanation for this that might be adopted. To pick a particular explanation and claim that it is more likely would be to fall into the conjunction fallacy.

Of course, real life is unfortunately more complicated. The woman in Reitan’s discussion might well respond to our proposal somewhat in this way (not a real quotation):

Probability is not the issue here, precisely because it is not a question of the truth of the matter in itself. There is a need to actually feel that one’s life is meaningful, not just to believe it. And the simple statement “life is meaningful” will not provide that feeling. Without the feeling, it will also be almost impossible to continue to believe it, no matter what the probability is. So in order to achieve this goal, it is necessary to believe a stronger and more particular claim.

And this response might be correct. Some such goals, due to their complexity, might not be easily achieved without adopting rather unlikely beliefs. For example, Robin Hanson, while discussing his reasons for having opinions, several times mentions the desire for “interesting” opinions. This is a case where many people will not even notice the trade involved, because the desire for interesting ideas seems closely related to the desire for truth. But in fact truth and interestingness are diverse things, and the goals are diverse, and one who desires both will likely engage in some trade. In fact, relative to truth seeking, looking for interesting things is a dangerous endeavor. Scott Alexander notes that interesting things are usually false:

This suggests a more general principle: interesting things should usually be lies. Let me give three examples.

I wrote in Toxoplasma of Rage about how even when people crusade against real evils, the particular stories they focus on tend to be false disproportionately often. Why? Because the thousands of true stories all have some subtleties or complicating factors, whereas liars are free to make up things which exactly perfectly fit the narrative. Given thousands of stories to choose from, the ones that bubble to the top will probably be the lies, just like on Reddit.

Every time I do a links post, even when I am very careful to double- and triple- check everything, and to only link to trustworthy sources in the mainstream media, a couple of my links end up being wrong. I’m selecting for surprising-if-true stories, but there’s only one way to get surprising-if-true stories that isn’t surprising, and given an entire Internet to choose from, many of the stories involved will be false.

And then there’s bad science. I can’t remember where I first saw this, so I can’t give credit, but somebody argued that the problem with non-replicable science isn’t just publication bias or p-hacking. It’s that some people will be sloppy, biased, or just stumble through bad luck upon a seemingly-good methodology that actually produces lots of false positives, and that almost all interesting results will come from these people. They’re the equivalent of Reddit liars – if there are enough of them, then all of the top comments will be theirs, since they’re able to come up with much more interesting stuff than the truth-tellers. In fields where sloppiness is easy, the truth-tellers will be gradually driven out, appearing to be incompetent since they can’t even replicate the most basic findings of the field, let alone advance it in any way. The sloppy people will survive to train the next generation of PhD students, and you’ll end up with a stable equilibrium.

In a way this makes the goal of believing interesting things much like the woman’s case. The goal of “believing interesting things” will be better achieved by more complex and detailed beliefs, even though to the extent that they are more complex and detailed, they are simply that much less likely to be true.

The point of this present post, then, is not to deny that some goals might be such that they are better attained with rather unlikely beliefs, and in some cases even in proportion to the unlikelihood of the beliefs. Rather, the point is that a conscious awareness of the trades involved will allow a person to minimize the loss of truth involved. If you never look at your bank account, you will not notice how much money you are losing from that monthly debit for internet. In the same way, if you hold Yudkowksy’s opinion, and believe that you never trade away truth for other things, which is itself both false and motivated, you are like someone who never looks at your account: you will not notice how much you are losing.

Blaming the Prophet

Consider the fifth argument in the last post. Should we blame a person for holding a true belief? At this point it should not be too difficult to see that the truth of the belief is not the point. Elsewhere we have discussed a situation in which one cannot possibly hold a true belief, because whatever belief one holds on the matter, it will cause itself to be false. In a similar way, although with a different sort of causality, the problem with the person’s belief that he will kill someone tomorrow, is not that it is true, but that it causes itself to be true. If the person did not expect to kill someone tomorrow, he would not take a knife with him to the meeting etc., and thus would not kill anyone. So just as in the other situation, it is not a question of holding a true belief or a false belief, but of which false belief one will hold, here it is not a question of holding a true belief or a false belief, but of which true belief one will hold: one that includes someone getting killed, or one that excludes that. Truth will be there either way, and is not the reason for praise or blame: the person is blamed for the desire to kill someone, and praised (or at least not blamed) for wishing to avoid this. This simply shows the need for the qualifications added in the previous post: if the person’s belief is voluntary, and held for the sake of coming true, it is very evident why blame is needed.

We have not specifically addressed the fourth argument, but this is perhaps unnecessary given the above response to the fifth. This blog in general has advocated the idea of voluntary beliefs, and in principle these can be praised or blamed. To the degree that we are less willing to do so, however, this may be a question of emphasis. When we talk about a belief, we are more concerned about whether it is true or not, and evidence in favor of it or against it. Praise or blame will mainly come in insofar as other motives are involved, insofar as they strengthen or weaken a person’s wish to hold the belief, or insofar as they potentially distort the person’s evaluation of the evidence.

Nonetheless, the factual question “is this true?” is a different question from the moral question, “should I believe this?” We can see the struggle between these questions, for example, in a difficulty that people sometimes have with willpower. Suppose that a smoker decides to give up smoking, and suppose that they believe they will not smoke for the next six months. Three days later, let us suppose, they smoke a cigarette after all. At that point, the person’s resolution is likely to collapse entirely, so that they return to smoking regularly. One might ask why this happens. Since the person did not smoke for three days, it should be perfectly possible, at least, for them to smoke only once every three days, instead of going back to their former practice. The problem is that the person has received evidence directly indicating the falsity of “I will not smoke for the next six months.” They still might have some desire for that result, but they do not believe that their belief has the power to bring this about, and in fact it does not. The belief would not be self-fulfilling, and in fact it would be false, so they cease to hold it. It is as if someone attempts to open a door and finds it locked; once they know it is locked, they can no longer choose to open the door, because they cannot choose something that does not appear to be within their power.

Mark Forster, in Chapter 1 of his book Do It Tomorrow, previously discussed here, talks about similar issues:

However, life is never as simple as that. What we decide to do and what we actually do are two different things. If you think of the decisions you have made over the past year, how many of them have been satisfactorily carried to a conclusion or are progressing properly to that end? If you are like most people, you will have acted on some of your decisions, I’m sure. But I’m also sure that a large proportion will have fallen by the wayside.

So a simple decision such as to take time to eat properly is in fact very difficult to carry out. Our new rule may work for a few days or a few weeks, but it won’t be long before the pressures of work force us to make an exception to it. Before many days are up the exception will have become the rule and we are right back where we started. However much we rationalise the reasons why our decision didn’t get carried out, we know deep in the heart of us that it was not really the circumstances that were to blame. We secretly acknowledge that there is something missing from our ability to carry out a decision once we have made it.

In fact if we are honest it sometimes feels as if it is easier to get other people to do what we want them to do than it is to get ourselves to do what we want to do. We like to think of ourselves as a sort of separate entity sitting in our body controlling it, but when we look at the way we behave most of the time that is not really the case. The body controls itself most of the time. We have a delusion of control. That’s what it is – a delusion.

If we want to see how little control we have over ourselves, all most of us have to do is to look in the mirror. You might like to do that now. Ask yourself as you look at your image:

  • Is my health the way I want it to be?
  • Is my fitness the way I want it to be?
  • Is my weight the way I want it to be?
  • Is the way I am dressed the way I want it to be?

I am not asking you here to assess what sort of body you were born with, but what you have made of it and how good a state of repair you are keeping it in.

It may be that you are healthy, fit, slim and well-dressed. In which case have a look round at the state of your office or workplace:

  • Is it as well organised as you want it to be?
  • Is it as tidy as you want it to be?
  • Do all your office systems (filing, invoicing, correspondence, etc.) work the way you want them to work?

If so, then you probably don’t need to be reading this book.

I’ve just asked you to look at two aspects of your life that are under your direct control and are very little influenced by outside factors. If these things which are solely affected by you are not the way you want them to be, then in what sense can you be said to be in control at all?

A lot of this difficulty is due to the way our brains are organised. We have the illusion that we are a single person who acts in a ‘unified’ way. But it takes only a little reflection (and examination of our actions, as above) to realise that this is not the case at all. Our brains are made up of numerous different parts which deal with different things and often have different agendas.

Occasionally we attempt to deal with the difference between the facts and our plans by saying something like, “We will approximately do such and such. Of course we know that it isn’t going to be exactly like this, but at least this plan will be an approximate guide.” But this does not really avoid the difficulty. Even “this plan will be an approximate guide” is a statement about the facts that might turn out to be false; and even if it does not turn out to be false, the fact that we have set it down as approximate will likely make it guide our actions more weakly than it would have if we had said, “this is what we will do.” In other words, we are likely to achieve our goal less perfectly, precisely because we tried to make our statement more accurate. This is the reverse of the situation discussed in a previous post, where one gives up some accuracy, albeit vaguely, for the sake of another goal such as fitting in with associates or for literary enjoyment.

All of this seems to indicate that the general proposal about decisions was at least roughly correct. It is not possible to simply to say that decisions are one thing and beliefs entirely another thing. If these were simply two entirely separate things, there would be no conflict at all, at least of this kind, between accuracy and one’s other goals, and things do not turn out this way.

Self-Fulfilling Prophecy

We can formulate a number of objections to the thesis argued in the previous post.

First, if a belief that one is going to do something is the same as the decision to do it, another person’s belief that I am going to do something should mean that the other person is making a decision for me. But this is absurd.

Second, suppose that I know that I am going to be hit on the head and suffer from amnesia, thus forgetting all about these considerations. I may believe that I will eat breakfast tomorrow, but this is surely not a decision to do so.

Third, suppose someone wants to give up smoking. He may firmly hold the opinion that whatever he does, he will sometimes smoke within the next six months, not because he wants to do so, but because he does not believe it possible that he do otherwise. We would not want to say that he decided not to give up smoking.

Fourth, decisions are appropriate objects of praise and blame. We seem at least somewhat more reluctant to praise and blame beliefs, even if it is sometimes done.

Fifth, suppose someone believes, “I will kill Peter tomorrow at 4:30 PM.” We will wish to blame him for deciding to kill Peter. But if he does kill Peter tomorrow at 4:30, he held a true belief. Even if beliefs can be praised or blamed, it seems implausible that a true belief should be blamed.

The objections are helpful. With their aid we can see that there is indeed a flaw in the original proposal, but that it is nonetheless somewhat on the right track. A more accurate proposal would be this: a decision is a voluntary self-fulfilling prophecy as understood by the decision maker. I will explain as we consider the above arguments in more detail.

In the first argument, in the case of one person making a decision for another, the problem is that a mere belief that someone else is going to do something is not self-fulfilling. If I hold a belief that I myself will do something, the belief will tend to cause its own truth, just as suggested in the previous post. But believing that someone else will do something will not in general cause that person to do anything. Consider the following situation: a father says to his children as he departs for the day, “I am quite sure that the house will be clean when I get home.” If the children clean the house during his absence, suddenly it is much less obvious that we should deny that this was the father’s decision. In fact, the only reason this is not truly the father’s decision, without any qualification at all, is that it does not sufficiently possess the characteristics of a self-fulfilling prophecy. First, in the example it does not seem to matter whether the father believes what he says, but only whether he says it. Second, since it is in the power of the children to fail to clean the house in any case, there seems to be a lack of sufficient causal connection between the statement and the cleaning of the house. Suppose belief did matter, namely suppose that the children will know whether he believes what he says or not. And suppose additionally that his belief had an infallible power to make his children clean the house. In that case it would be quite reasonable to say, without any qualification, “He decided that his children would clean the house during his absence.” Likewise, even if the father falsely believes that he has such an infallible power, in a sense we could rightly describe him as trying to make that decision, just as we might say, “I decided to open the door,” even if it turns out that my belief that the door could be opened turns out to be false when I try it; the door may be locked. This is why I included the clause “as understood by the decision maker” in the above proposal. This is a typical character of moral analysis; human action must be understood from the perspective of the one who acts.

In the amnesia case, there is a similar problem: due to the amnesia, the person’s current beliefs do not have a causal connection with his later actions. In addition, if we consider such things as “eating breakfast,” there might be a certain lack of causal connection in any case; the person would likely eat breakfast whether or not he formulates any opinion about what he will do. And to this degree we might feel it implausible to say that his belief that he will eat breakfast is a decision, even without the amnesia. It is not understood by the subject as a self-fulfilling prophecy.

In the case of giving up smoking, there are several problems. In this case, the subject does not believe that there is any causal connection between his beliefs and his actions. Regardless of what he believes, he thinks, he is going to smoke in fact. Thus, in his opinion, if he believes that he will stop smoking completely, he will simply hold a false belief without getting any benefit from it; he will still smoke, and his belief will just be false. So since the belief is false, and without benefit, at least as he understands it, there is no reason for him to hold this belief. Consequently, he holds the opposite belief. But this is not a decision, since he does not understand it as causing his smoking, which is something that is expected to happen whether or not he believes it will.

In such cases in real life, we are in fact sometimes tempted to say that the person is choosing not to give up smoking. And we are tempted to this to the extent that it seems to us that his belief should have the causal power that he denies it has: his denial seems to stem from the desire to smoke. If he wanted to give up smoking, we think, he could just accept that he would be able to believe this, and in such a way that it would come true. He does not, we think, because he wants to smoke, and so does not want to give up smoking. In reality this is a question of degree, and this analysis can have some truth. Consider the following from St. Augustine’s Confessions (Book VIII, Ch. 7-8):

Finally, in the very fever of my indecision, I made many motions with my body; like men do when they will to act but cannot, either because they do not have the limbs or because their limbs are bound or weakened by disease, or incapacitated in some other way. Thus if I tore my hair, struck my forehead, or, entwining my fingers, clasped my knee, these I did because I willed it. But I might have willed it and still not have done it, if the nerves had not obeyed my will. Many things then I did, in which the will and power to do were not the same. Yet I did not do that one thing which seemed to me infinitely more desirable, which before long I should have power to will because shortly when I willed, I would will with a single will. For in this, the power of willing is the power of doing; and as yet I could not do it. Thus my body more readily obeyed the slightest wish of the soul in moving its limbs at the order of my mind than my soul obeyed itself to accomplish in the will alone its great resolve.

How can there be such a strange anomaly? And why is it? Let thy mercy shine on me, that I may inquire and find an answer, amid the dark labyrinth of human punishment and in the darkest contritions of the sons of Adam. Whence such an anomaly? And why should it be? The mind commands the body, and the body obeys. The mind commands itself and is resisted. The mind commands the hand to be moved and there is such readiness that the command is scarcely distinguished from the obedience in act. Yet the mind is mind, and the hand is body. The mind commands the mind to will, and yet though it be itself it does not obey itself. Whence this strange anomaly and why should it be? I repeat: The will commands itself to will, and could not give the command unless it wills; yet what is commanded is not done. But actually the will does not will entirely; therefore it does not command entirely. For as far as it wills, it commands. And as far as it does not will, the thing commanded is not done. For the will commands that there be an act of will–not another, but itself. But it does not command entirely. Therefore, what is commanded does not happen; for if the will were whole and entire, it would not even command it to be, because it would already be. It is, therefore, no strange anomaly partly to will and partly to be unwilling. This is actually an infirmity of mind, which cannot wholly rise, while pressed down by habit, even though it is supported by the truth. And so there are two wills, because one of them is not whole, and what is present in this one is lacking in the other.

St. Augustine analyzes this in the sense that he did not “will entirely” or “command entirely.” If we analyze it in our terms, he does not expect in fact to carry out his intention, because he does not want to, and he knows that people do not do things they do not want to do. In a similar way, in some cases the smoker does not fully want to give up smoking, and therefore believes himself incapable of simply deciding to give up smoking, because if he made that decision, it would happen, and he would not want it to happen.

In the previous post, I mentioned an “obvious objection” at several points. This was that the account as presented there leaves out the role of desire. Suppose someone believes that he will go to Vienna in fact, but does not wish to go there. Then when the time comes to buy a ticket, it is very plausible that he will not buy one. Yes, this will mean that he will stop believing that he will go to Vienna. But this is different from the case where a person has “decided” to go and then changes his mind. The person who does not want to go, is not changing his mind at all, except about the factual question. It seems absurd (and it is) to characterize a decision without any reference to what the person wants.

This is why we have characterized a decision here as “voluntary”, “self-fulfilling,” and “as understood by the decision maker.” It is indeed the case that the person holds a belief, but he holds it because he wants to, and because he expects it to cause its own fulfillment, and he desires that fulfillment.

Consider the analysis in the previous post of the road to point C. Why is it reasonable for anyone, whether the subject or a third party, to conclude that the person will take road A? This is because we know that the subject wishes to get to point C. It is his desire to get to point C that will cause him to take road A, once he understands that A is the only way to get there.

Someone might respond that in this case we could characterize the decision as just a desire: the desire to get to point C. The problem is that the example is overly simplified compared to real life. Ordinarily there is not simply a single way to reach our goals. And the desire to reach the goal may not determine which particular way we take, so something else must determine it. This is precisely why we need to make decisions at all. We could in fact avoid almost anything that feels like a decision, waiting until something else determined the matter, but if we did, we would live very badly indeed.

When we make a complicated plan, there are two interrelated factors explaining why we believe it to be factually true that we will carry out the plan. We know that we desire the goal, and we expect this desire for the goal to move us along the path towards the goal. But since we also have other desires, and there are various paths towards the goal, some better than others, there are many ways that we could go astray before reaching the goal, either by taking a path to some other goal, or by taking a path less suited to the goal. So we also expect the details of our plan to keep us on the particular course that we have planned, which we suppose to be the best, or at least the best path considering our situation as a whole. If we did not keep those details in mind, we would not likely remain on this precise path. As an example, I might plan to stop at a grocery store on my way home from work, out of the desire to possess a sufficient stock of groceries, but if I do not keep the plan in mind, my desire to get home may cause me to go past the store without stopping. Again, this is why our explanation of belief is that it is a self-fulfilling prophecy, and one explicitly understood by the subject as such; by saying “I will use A, B, and C, to get to goal Z,” we expect that keeping these details in mind, together with our desire for Z, we will be moved along this precise path, and we wish to follow this path, for the sake of Z.

There is a lot more that could be said about this. For example, it is not difficult to see here an explanation for the fact that such complicated plans rarely work out precisely in practice, even in the absence of external impediments. We expect our desire for the goal to keep us on track, but in fact we have other desires, and there are an indefinite number of possibilities for those other desires to make something else happen. Likewise, even if the plan was the best we could work out in advance, there will be numberless details in which there were better options that we did not notice while planning, and we will notice some of these as we proceed along the path. So both the desire for the goal, and the desire for other things, will likely derail the plan. And, of course, most plans will be derailed by external things as well.

A combination of the above factors has the result that I will leave the consideration of the fourth and fifth arguments to another post, even though this was not my original intention, and was not my belief about what would happen.

Decisions as Predictions

Among acts of will, St. Thomas distinguishes intention and choice:

The movement of the will to the end and to the means can be considered in two ways. First, according as the will is moved to each of the aforesaid absolutely and in itself. And thus there are really two movements of the will to them. Secondly, it may be considered accordingly as the will is moved to the means for the sake of the end: and thus the movement of the will to the end and its movement to the means are one and the same thing. For when I say: “I wish to take medicine for the sake of health,” I signify no more than one movement of my will. And this is because the end is the reason for willing the means. Now the object, and that by reason of which it is an object, come under the same act; thus it is the same act of sight that perceives color and light, as stated above. And the same applies to the intellect; for if it consider principle and conclusion absolutely, it considers each by a distinct act; but when it assents to the conclusion on account of the principles, there is but one act of the intellect.

Choice is about the means, such as taking medicine in his example, while intention is about the end, as health in his example. This makes sense in terms of how we commonly use the terms. When we do speak of choosing an end, we are normally considering which of several alternative intermediate ends are better means towards an ultimate end. And thus we are “choosing,” not insofar as the thing is an end, but insofar as it is a means towards a greater end that we intend.

Discussing the human mind, we noted earlier that a thing often seems fairly simple when it is considered in general, but turns out to have a highly complex structure when considered in detail. The same thing will turn out to be the case if we attempt to consider the nature of these acts of will in detail.

Consider the hypothesis that both intention and choice consist basically in beliefs: intention would consist in the belief that one will in fact obtain a certain end, or at least that one will come as close to it as possible. Choice would consist in the belief that one will take, or that one is currently taking, a certain temporally immediate action for the sake of such an end. I will admit immediately that this hypothesis will not turn out to be entirely right, but as we shall see, the consideration will turn out to be useful.

First we will bring forward a number of considerations in favor of the hypothesis, and then, in another post, some criticisms of it.

First, in favor of the hypothesis, we should consider the fact that believing that one will take a certain course of action is virtually inseparable from deciding to take that course of action, and the two are not very clearly distinguishable at all. Suppose someone says, “I intend to take my vacation in Paris, but I believe that I will take it in Vienna instead.” On the face of it, this is nonsense. We might make sense of it by saying that the person really meant to say that he first decided to go to Paris, but then obstacles came up and he realizes that it will not be possible. But in that case, he also changes his decision: he now intends to go to Vienna. It is completely impossible that he currently intends to go to Paris, but fully believes that he will not go, and that he will go to Vienna instead.

Likewise, suppose someone says, “I haven’t yet decided where to take my vacation. But I am quite convinced that I am going to take it in Vienna.” Again, this is almost nonsensical: if he is convinced that he will go to Vienna, we would normally say that he has already made up his mind: it is not true that he has not decided yet. As in the previous case, we might be able to come up with circumstances where someone might say this or something like it. For example, if someone else is attempting to convince him to come to Paris, he might say that he has not yet decided, meaning that he is willing to think about it for a bit, but that he fully expects to end up going to Vienna. But in this case, it is more natural to say that his decision and his certainty that he will go to Vienna are proportional: the only sense in which he hasn’t decided yet, is to the degree that the thinks there is some chance that he will change his mind and go to Paris. Thus if there is no chance at all of that, then he is completely decided, while if he is somewhat unsure, his decision is not yet perfect but partial.

Both of the above cases would fit with the claim that a decision is simply a belief about what one is going to do, although they would not necessarily exclude the possibility that it is a separate thing, even if inseparably connected to the belief.

We can also consider beliefs and decisions as something known from their effects. I noted elsewhere that we recognize the nature of desire from its effect, namely from the fact that when we have a desire, we tend to bring about the thing we desire. Insofar as a decision is a rational desire, the same thing applies to decisions as to other kinds of desires. We would not know decisions as decisions, if we never did the things we have decided to do. Likewise, belief is a fairly abstract object, and it is at least plausible that we would come to know it from its more concrete effects.

Now consider the effects of the decision to go to Vienna, compared to the effects of the belief that you will go to Vienna. Both of them will result in you saying, “I am going to go to Vienna.” And if we look at belief as I suggested in the discussion to this post, namely more or less as treating something as a fact, then belief will have other consequences, such as buying a ticket for Vienna. For if you are treating it as a fact that you are going to go there, either you will buy a ticket, or you will give up the belief. In a similar way, if you have decided to go, either you will buy a ticket, or you will change your decision. So the effects of the belief and the effects of the decision seem to be entirely the same. If we know the thing from its effects, then, it seems we should consider the belief and the decision to be entirely the same.

There is an obvious objection here, but as I said the consideration of objections will come later.

Again, consider a situation where there are two roads, road A and road B, to your destination C. There is a fallen bridge along road B, so road B would not be a good route, while road A is a good route. It is reasonable for a third party who knows that you want to get to C and that you have considered the state of the roads, to conclude that you will take road A. But if this is reasonable for someone else, then it is reasonable for you: you know that you want to get to C, and you know that you have considered the state of the roads. So it is reasonable for you to conclude that you will take road A. Note that this is purely about belief: there was no need for an extra “decision” factor. The conclusion that you will factually take road A is a logical conclusion from the known situation. But now that you are convinced that you will take road A, there is no need for you to consider whether to take road A or road B; there is nothing to decide anymore. Everything is already decided as soon as you come to that conclusion, which is a matter of forming a belief. Once again, it seems as though your belief that you will take road A just is your decision, and there is nothing more to it.

Once again, there is an obvious objection, but it will have to wait until the next post.

A Remark on Usury

St. Thomas explains his objection to usury:

I answer that, To take usury for money lent is unjust in itself, because this is to sell what does not exist, and this evidently leads to inequality which is contrary to justice. In order to make this evident, we must observe that there are certain things the use of which consists in their consumption: thus we consume wine when we use it for drink and we consume wheat when we use it for food. Wherefore in such like things the use of the thing must not be reckoned apart from the thing itself, and whoever is granted the use of the thing, is granted the thing itself and for this reason, to lend things of this kin is to transfer the ownership. Accordingly if a man wanted to sell wine separately from the use of the wine, he would be selling the same thing twice, or he would be selling what does not exist, wherefore he would evidently commit a sin of injustice. On like manner he commits an injustice who lends wine or wheat, and asks for double payment, viz. one, the return of the thing in equal measure, the other, the price of the use, which is called usury.

On the other hand, there are things the use of which does not consist in their consumption: thus to use a house is to dwell in it, not to destroy it. Wherefore in such things both may be granted: for instance, one man may hand over to another the ownership of his house while reserving to himself the use of it for a time, or vice versa, he may grant the use of the house, while retaining the ownership. For this reason a man may lawfully make a charge for the use of his house, and, besides this, revendicate the house from the person to whom he has granted its use, as happens in renting and letting a house.

Now money, according to the Philosopher (Ethic. v, 5; Polit. i, 3) was invented chiefly for the purpose of exchange: and consequently the proper and principal use of money is its consumption or alienation whereby it is sunk in exchange. Hence it is by its very nature unlawful to take payment for the use of money lent, which payment is known as usury: and just as a man is bound to restore other ill-gotten goods, so is he bound to restore the money which he has taken in usury.

In the example of the rental of a house, the landlord is a seller, and the renter is a buyer. The landlord sells the use of the house to the buyer. St. Thomas is thus explaining usury in this way: the lender sells the use of his money to the borrower, while retaining ownership of the money. At the end of the period, therefore, the borrower must return the original money, since the lender has retained ownership, together with an additional fee for the use of the money.

This is intrinsically unjust, St. Thomas says, because someone cannot have the use of the money without having the money, since using money consumes it.

This is correct, if one analyzes the transaction in this way. But on the other hand, no one would ever borrow money if they analyzed the transaction in this way. In reality, St. Thomas has confused the buyer and the seller. The lender is not a seller, selling the use of money, but a buyer. When he gives money to the borrower at the beginning of the transaction, he does not retain ownership of the money. On the contrary, the money is a payment, by the lender as a buyer, to the borrower as a seller. When the borrower promises to repay the sum with interest, he is promising to provide the future money that he is selling to the lender.

To illustrate this with a concrete example, suppose the lender lends $100 to be repaid a year later with $110. Then the lender buys $110 future dollars for the present sum of $100, and the borrower sells $110 future dollars for the present sum of $100.

St. Thomas is correct, however, that “what does not exist” is being sold here, although he is mistaken about the nature of the transaction. It is not the use of $100 that is being sold, but a future $110, which “does not exist” because it is future. And this is not an injustice; selling what does not exist here is no more unjust than it is unjust to make a contract to provide a certain amount of wheat a year from now. Nor is the price unjust, since future money is in itself less valuable than present money, just as it would be less valuable to be promised wheat a year from now, than to be given it immediately. The different particular situations of the lender (the buyer) and the borrower (the seller) explain why they both benefit from the transaction, just as both the buyer and seller of wheat benefit from it due to their particular situations.


The Practical Argument for Free Will

Richard Chappell discusses a practical argument for free will:

1) If I don’t have free will, then I can’t choose what to believe.
2) If I can choose what to believe, then I have free will [from 1]
3) If I have free will, then I ought to believe it.
4) If I can choose what to believe, then I ought to believe that I have free will. [from 2,3]
5) I ought, if I can, to choose to believe that I have free will. [restatement of 4]

He remarks in the comments:

I’m taking it as analytic (true by definition) that choice requires free will. If we’re not free, then we can’t choose, can we? We might “reach a conclusion”, much like a computer program does, but we couldn’t choose it.

I understand the word “choice” a bit differently, in that I would say that we are obviously choosing in the ordinary sense of the term, if we consider two options which are possible to us as far as we know, and then make up our minds to do one of them, even if it turned out in some metaphysical sense that we were already guaranteed in advance to do that one. Or in other words, Chappell is discussing determinism vs libertarian free will, apparently ruling out compatibilist free will on linguistic grounds. I don’t merely disagree in the sense that I use language differently, but in the sense that I don’t agree that his usage correspond to the normal English usage. [N.B. I misunderstood Richard here. He explains in the comments.] Since people can easily be led astray by such linguistic confusions, given the relationships between thought and language, I prefer to reformulate the argument:

  1. If I don’t have libertarian free will, then I can’t make an ultimate difference in what I believe that was not determined by some initial conditions.
  2. If I can make an ultimate difference in what I believe that was not determined by some initial conditions, then I have libertarian free will [from 1].
  3. If I have libertarian free will, then it is good to believe that I have it.
  4. If I can make an ultimate difference in my beliefs undetermined by initial conditions, then it is good to believe that I have libertarian free will. [from 2, 3]
  5. It is good, if I can, to make a difference in my beliefs undetermined by initial conditions, such that I believe that I have libertarian free will.

We would have to add that the means that can make such a difference, if any means can, would be choosing to believe that I have libertarian free will.

I have reformulated (3) to speak of what is good, rather than of what one ought to believe, for several reasons. First, in order to avoid confusion about the meaning of “ought”. Second, because the resolution of the argument lies here.

The argument is in fact a good argument as far as it goes. It does give a practical reason to hold the voluntary belief that one has libertarian free will. The problem is that it does not establish that it is better overall to hold this belief, because various factors can contribute to whether an action or belief is a good thing.

We can see this with the following thought experiment:

Either people have libertarian free will or they do not. This is unknown. But God has decreed that people who believe that they have libertarian free will go to hell for eternity, while people who believe that they do not, will go to heaven for eternity.

This is basically like the story of the Alien Implant. Having libertarian free will is like the situation where the black box is predicting your choice, and not having it is like the case where the box is causing your choice. The better thing here is to believe that you do not have libertarian free will, and this is true despite whatever theoretical sense you might have that you are “not responsible” for this belief if it is true, just as it is better not to smoke even if you think that your choice is being caused.

But note that if a person believes that he has libertarian free will, and it turns out to be true, he has some benefit from this, namely the truth. But the evil of going to hell presumably outweighs this benefit. And this reveals the fundamental problem with the argument, namely that we need to weigh the consequences overall. We made the consequences heaven and hell for dramatic effect, but even in the original situation, believing that you have libertarian free will when you do not, has an evil effect, namely believing something false, and potentially many evil effects, namely whatever else follows from this falsehood. This means that in order to determine what is better to believe here, it is necessary to consider the consequences of being mistaken, just as it is in general when one formulates beliefs.