So, while reading my normal sites to see if there’s anything interesting to talk about, I came across a post by Richard Carrier that contains what is probably the most bizarre analysis of Pascal’s Wager that I’ve ever seen. However, reading it and thinking about it has clarified some things about it for me, and sometimes it’s just nice to take apart a philosophical analysis of something. And for all his faults, Carrier does at least tend to come up with … creative arguments for his positions.
The first thing Carrier tries to do is take on the “genuine belief” argument. No, he doesn’t want to show that the Wager can’t produce a genuine belief, but instead wants to clear that argument off the table to create room for his own preferred arguments. So let’s see how that works:
It is not a problem with Pascal’s Wager, however, that “we can’t choose to believe what we do.” Despite that being often the leading objection to it voiced, it’s misguided. Yes, real belief must follow from the formation of a genuine conviction. But this can arise from recognizing the force of a bet. The IEP rightly adds further reasons to dismiss this objection to the Wager. But more salient still is that recognizing better bets can produce beliefs.
For example, suppose we were speaking instead of the following scenario: a tsunami is rising behind you on the road, and you see no traffic, but the road is heavily fogged in so you have no real way to know; you can surrender and be drowned, or attempt to drive faster than the wave in the mere hope there is no one ahead of you on the road to collide with. A simple utility equation will reveal you should attempt to outrun the wave. That option has a less than 100% probability of resulting in your death, whereas the surrendering option effectively has a 100% probability of your death. In other words, the outcome of that decision is “always death”; of the other, “sometimes survive.”
Once you fully, rationally recognized that, the very fact of doing so will indeed cause you to genuinely believe survival is more likely when you assume without evidence the road is clear. This might not be what you would normally call “a belief the road is clear,” since you would also still correctly believe that it yet might not be. But it is nevertheless a belief that “the road is more likely clear than that the tsunami will not overtake me if I remain still.” Analogously, if Pascal’s Wager is as sound as this reasoning would be about the road and the tsunami, then your recognizing that will likewise cause in you a genuine belief that “God more likely exists than that I will end up in an eternal paradise if he doesn’t or that I will avoid an eternal hell if he does.” You will therefore believe in God to some significant degree, even as you admit you are not certain that God exists. Just as you would believe to some significant degree the road is clear—which means, not wholly, but enough to motivate your every decision. Just as Pascal was arguing for Catholicism.
The problem with this analysis is that Carrier has to be rather vague about the belief that you’ll actually end up with. As he himself notes, it’s not the belief that the road is clear. It is definitely more a belief that you have a better chance of surviving if you take the road rather than waiting for the wave to hit you. Translating that to the Wager, it’s in no way a genuine belief that God exists, because you wouldn’t really have the belief, just from the Wager, that God or that God exists. What you’ll have is the belief that follows from the argument if it works: It would be, on a practical level, better for me to believe that God exists than to believe that He doesn’t or to have no belief on the matter at all. Carrier’s only way out here is to argue that that belief would be sufficient to motivate you to act as if God exists, but the gods under consideration aren’t judging you on the basis of your actions, but instead on whether or not you actually believe in them. The Christian God, in particular, has a long history of saying that actions, at least, are insufficient for salvation. You need the specific belief that God exists, then, to be saved, and Carrier has had to admit that you won’t have that simply from the wager. So the genuine belief argument still seems to be on the table.
There seem to me to be two main ways to get around this. The first is the one I tend to favour, which relies on the fact that Pascal’s Wager cannot add epistemic warrant to the question of whether God or any god exists, because it’s a blatant appeal to consequences. We have to assume that Pascal knew that, but even if he didn’t we can see that coming to understand the wager, as noted above, isn’t going to give you any epistemic reason to think that God exists. It doesn’t provide any evidence for the existence of God, nor does it in and of itself refute any evidential argument against the existence of God. Moreover, the Wager itself becomes pointless if we could know whether or not God exists, because if we did know that or could know that we could eliminate any god that we know doesn’t exist, and the details of the Wager itself show that we would always want to, because we’d want to know what God to bet on, but wouldn’t want to spend the time and effort on a specific god if we could take what is almost certainly less time and effort to know which god, if any, we should bet on. So if we can spend some time and effort on coming to know which god, if any, to bet on, that’s almost always going to be worth it instead of simply making a blind bet. Thus, we can see that the Wager only works for gods where we can’t know whether or not they exist. But since the Wager doesn’t add epistemic warrant, we can’t use it to come to believe that any of those gods exist. Thus, its best use is as a way to respond to atheistic arguments that don’t prove that the God we believe in doesn’t exist — and so aren’t arguments that would mean that we know that that God doesn’t exist — but instead either try to cast doubt on it or, more directly, point out the time and effort we are spending on a non-existent God, or at least one that we don’t know exists. The Wager gives us a pragmatic reply: as long as we can’t know whether or not the God we believe in exists, there’s still a rational bet to be made here. If the belief is correct, it pays off significantly, and relatively speaking the cost if we’re wrong is negligible. So unless the atheist can provide a strong argument with epistemic warrant or can show that my beliefs are inconsistent, Pascal’s Wager is a good practical counter-argument; the theist is better off maintaining their existing genuine belief because the returns if it’s right are so good as to make the cost nominal … especially if they get additional benefits from participating in religion.
The other argument is one that Carrier’s reference from the Internet Encyclopedia of Philosophy mentions:
Yet a difference in degree may be significant, and it is worth noting that theists and atheists may disagree on the power of prayer to change one’s beliefs. Theists generally think that prayer tends to bring one into contact with God, in which case one is likely to notice, recognize, and believe in God’s existence. Atheists, on the other hand, have no particular reason to think that mere praying should notably effect conversion. An agnostic would do well then to try; for it would be precisely in the case where success matters that trying is likely to be most efficacious.
Essentially, the argument is that even if the Wager itself doesn’t provide epistemic warrant and so can’t in and of itself trigger a genuine belief, we might be able to work ourselves into one by taking separate actions. They use the example of praying in an attempt to connect to God and therefore to form a belief that way, but it’s possible for us to do so in other ways, such as conditioning ourselves to accept the belief (a sort of self-brainwashing, in a sense). We can also attempt to rationalize ourselves into it. To take Carrier’s tsunami example, while noting that the wave will kill us and so our only chance is to drive as fast as we can won’t give us the genuine belief that the road is clear, we might rationalize our choice to form a belief. We might reason that the weather is so bad that hardly anyone will be out on the road, and that the only reason we were was one that no one else shared. If this rationalization is successful, then we would indeed have a genuine belief that the road ahead is clear. We generally wouldn’t do it in the case Carrier describes, but if we had another option such as hiding out in a nearby building but noted that if we could get home it would benefit us and noted that the only reason not to speed down the road was the risk of hitting someone, we might well reason ourselves into thinking that that isn’t a reasonable concern. Even if the belief is less “The road is clear” and is more “The road is probably clear”, that’s a lot better than the belief Carrier says we’d have. So the same thing can be done for God in reaction to the Wager, as we can reason ourselves into the belief based on the standard arguments.
Someone in the comments argues against Carrier’s dismissal of the “insincere belief” argument:
Basically, if God accepts totally cavalier hedge-betting “belief”, then anyone can just list off any God that accepts that, say “Sure, buddy, I believe in you” and be done with it. That’s obviously not what the Christian wants. But if God demands actual belief, not just contingent or “I’ll take it as granted” belief, then your tsunami example doesn’t really apply. In the tsunami example, I am not at all convinced that there are no cars in front of me. I am convinced that it’s beneficial for me to act like there aren’t, but there is no conviction there. Not only would I not die to defend the belief that there are no cars in front of me, I wouldn’t even bet a paycheck on it. I am only taking that bet because the alternatives are worse. As you yourself note, it’s not “a belief the road is clear”.
As I interpret it, the argument here is that if you don’t need a sincere belief in God for the Wager to pay off, then there’s no real reason to pay the belief anything more than lip service. You can act as if God doesn’t exist and then, at the end, say “Oh, yeah, I totes believe in that God” and get the reward. So if all we need is the weak sort of belief that Carrier’s argument would produce, then we don’t need to make any choices at all. We don’t need to act on the belief nor do we need to choose amongst all the various gods that could fulfill the Wager. If all we need is the weak belief that Carrier’s argument would give, then it seems like most of the arguments against the Wager fail, but the Wager itself becomes meaningless.
Carrier’s response seems to miss the point:
No, that’s the “many gods” objection.
You might be confusing the two. That “just any god will do” is a separate criticism from the “insincere belief” criticism. Yes, they both apply. But they are separate criticisms, requiring separate solutions (if anyone wants to still defend this argument).
The point is that if all we need is an insincere belief, then it is the case that no matter what god — if any — it works out to be, we should be able to generate a sufficiently insincere belief at the time to meet the requirements. After all, if we don’t have a sincere belief, then we don’t have a formal belief, and so there’s no reason why we can’t hold insincere beliefs in every single god that could possibly fit into the Wager. The “many gods” objection is that we can’t know which one to bet on since there are so many that are equally justified by the Wager, but the point of the “insincere belief” counter is that if all we need is an insincere belief then whatever god that turns out to be will be one that we will believe in sufficient to meet the Wager.
Carrier continues:
But that’s all moot, since we can bypass the insincere belief objection by pointing out, quite simply, that the belief thus generated would not be relevantly insincere to warrant maintaining the objection. Hence my point is the objection is misplaced even if we could establish somehow only one God could be bet on and it just so happened to be Pascal’s. You mistake the argument as being that the belief thus generated would be sincere in some fulsome, particular sense. To the contrary, it would be sincere in a lesser but fully sufficient sense. Once one accepts the moral legitimacy of argumentum ad baculum, that is (as medieval Catholicism in fact did: it’s entire theology was based on it). In other words, any God who would use argumentum ad baculum, would reward anyone who responded to it. So the minutiae of exactly what specific belief that requires is irrelevant.
I haven’t talked about the argumentum ad baculum yet, but essentially Carrier’s counter here relies on this: a being that cares so much about being believed in that they are willing to infinitely reward those who do and infinitely punish those who don’t, and who can indeed determine whether we genuinely believe in them or not (because if they couldn’t then the Wager doesn’t pay off for them in any way as we could just profess belief at the time of judgement and “win”), isn’t going to bother determining if our belief is genuine or not. They want us to believe in them, but then when the time of judgement comes don’t care whether or not our belief is genuine. That … does not seem probable. At best, Carrier could make an argument that the gods might care more about actions than about actual belief, but that’s not true for any of the gods that we’re considering for the Wager. So the only argument he can make is that the gods we’re talking about all use the argumentum ad baculum, and that means that they’d have to not care about the belief being more than that argument can deliver. So now let’s look at that argument:
All critiques of Pascal’s Wager implicitly reveal this as its defining flaw. The most salient example being the “many-gods objection” that I’ll get to in the end. Since there are many different gods one could bet on, and all those bets cancel each other out, we are faced with asking why we are to prefer Pascal’s singular premise of Catholicism. The obvious answer is the very thing that purports to make the bet work: its implicit threat of death or, worse, hell. In Pascal’s version, you are being threatened with eternal damnation, the “infinite cost” to atheism.
If you remove that threat, what remains is only death: if God exists and you bet not, you die; if God doesn’t exist and you bet not, you die. The outcome is the same either way. So the only motivator remaining is the promise of eternal reward: if you bet God exists, you go to heaven; ergo, if God exists and you don’t bet on it, you lose out on an infinite opportunity. Which is called an opportunity cost. It therefore is a hidden threat. In this version of the bet, contrary to Pascal’s own belief, there is no hell and the unsaved simply stay dead (called annihilationism, some evidence suggests Saint Paul held to this view). But that means, now, you are simply being threatened with death: if you don’t believe, God won’t save you.
The argument ad baculum is a very specific form of an argument from consequences, where it relies on the person trying to get you to believe something making a direct and intentional threat. This is, of course, doesn’t mean that it’s more likely to be true and so doesn’t add epistemic warrant. But the key problem here is that the Wager doesn’t in fact rely on that sort of argument whatsoever, but merely on a more traditional argument from consequences. The Wager is based on the outcomes of belief vs non-belief, and the threat isn’t in fact explicit. We evaluate it based on the consequences, not based on a sense that God is threatening us. And Pascal’s Wager can work even if there is no explicit threat. Imagine that there is a god such that they will save us from the clutches of evil and eternal torment if they notice us, and give us eternal bliss. However, if we don’t believe in that god, they are incapable of perceiving us, and if they can’t perceive us they can’t save us. Thus, we would need to believe that they exist to get eternal bliss, and if we don’t believe in them we would get eternal torment. It’s clear that in this case what we have are consequences of our belief or lack thereof, and that the god in question isn’t in any way threatening us, either directly or through opportunity cost. And yet, Pascal’s Wager would work for such a god, because we are evaluating whether to bet or not on the basis of the consequences, not whether the god is directly threatening them or the direct cause of those consequences or not.
So now we can return to Carrier’s comment referenced above. Carrier would have us believe that a god that was directly threatening these consequences and could determine if our belief was genuine wouldn’t care about whether or not our belief was genuine, and would be satisfied with the weak belief that the argumentum ad baculum could generate. This doesn’t seem at all plausible, nor is it in line with the gods that we’ve been considering for the Wager, all of whom are pretty explicit that they want genuine belief and not lip service. Carrier could argue that then using an argumentum ad baculum is a bad argument to use to generate genuine belief … but we already knew that. Moreover, that’s a good reason to think that those gods are using those things as consequences and not as threats, since the threats wouldn’t work as a way to get them what they themselves clearly want. So this argument is undone by the genuine belief argument: it won’t produce a genuine belief, and a genuine belief is what they need, so that’s not what they’re doing.
Hence Pascal’s Wager depends on the ad baculum fallacy. And it does so at the step of selecting which God is to be bet upon. Only threatening gods are proposed. Universal saviors are ignored or hand waved out of existence …
Well, of course universal saviors don’t come under Pascal’s Wager. As noted, the Wager — and all wagers — are based on a cost-benefit analysis of the consequences of each option. A universal savior god doesn’t give us any consequences for not believing. Whether we believe it exists or not, we will be saved. So there’s no reason to apply the Wager to them and, in fact, no practical reason — beyond intellectual curiosity — to try to determine whether or not they exist. We already know that the Wager is based on the consequences which is why it has no epistemic warrant, so talking about the purported threat doesn’t add anything we already know. And yet Carrier presents it as a damning and defining argument.
Next, Carrier talks about the utility function — the cost-benefit analysis — itself:
That sounds superficially compelling. But it’s deeply incoherent. It’s not just that it conflates finite with transfinite arithmetic—one could reconstruct the argument without infinities; it’s that the costs or gains proposed are arbitrary. Of course we can say the expected return on an investment equals simply the difference between A, the cost of a bet times the probability of losing, and B, the payout of the bet times the probability of winning. But we don’t get to just invent costs and benefits. To allow that to change our epistemic status would be irrational.
Yes, the Wager does not add epistemic warrant. We already knew that. It was never the case that adding the greater consequences made it more likely to be true given the evidence, just that if we could believe it that option would work out better for us than the alternative. As that, again, is a classic argument from consequences, it doesn’t add epistemic warrant. So we’re going to need more than that here.
For example, consider a straightforward raffle example: we can buy a raffle ticket for $2, there’s a 1 in 1000 chance of winning the raffle, and the prize is $1000. If we disregard any fractions of a cent, then the cost of playing times the probability of losing is $2 x 0.999 = $1.99, and the payout if you win times the probability of winning is $998 (the $1000 earned minus the $2 paid) x 0.001 = 99 cents. The expected utility of buying a raffle ticket is minus one dollar ($0.99 – $1.99 = $1). In other words, you can expect to lose money buying these raffle tickets. Though the average loss is small (just a dollar), so maybe you won’t care (that’s a different equation).
But now imagine a shady carnival barker tells you the raffle’s payout is a billion dollars, or $1,000,000,000. Wow! Then everything changes. The expected utility becomes an expected gain of $1,000,000,000 x 0.001 = $1,000,000, minus only a $1.99 expected loss, or $999,998 or so. We should totally buy a ticket! But…wait a minute. Why should I buy this ticket? The only thing that’s changed is that the barker changed what they told me the prize is. All they had to do was make up a larger prize. That should in no way increase the epistemic probability that I actually will win a billion dollars. On this thinking, all I have to do to get you to believe literally anything is to just tell a bigger lie about how much it will benefit you to believe it. As that’s clearly irrational, so is Pascal’s Wager.
Carrier is relying a lot on that “shady carnival barker” line, even if he doesn’t admit it. The key here is for us to be in doubt, but to be in doubt about a very specific thing: whether or not the prize is legitimate. Carrier’s analysis shows that in the second case the expected utility is, in fact, good enough that we should buy a ticket. So that would mean that if don’t have reason to think that the raffle is illegitimate then we should indeed play. To get around this, Carrier has to make us think that the raffle is illegitimate. The person has to be lying, because if they are legit and genuine then the utility function and expected utility works out. It’s only that we have someone that is “shady” making the offer that would make us think that they are lying and so we can’t really achieve that expected utility. But Carrier’s argument is that the larger the prize we must necessarily think that, but he starts from a case where he deliberately and carefully has arranged it so that without even considering the size of the prize we have reason to doubt that we are being told the truth. We shouldn’t trust a shady carnival barker whether the prize is $2 or $1,000,000,000. Is that the case for the gods in Pascal’s Wager?
It is true that infinite quantities are always by definition infinitely larger than finite quantities, and all nonzero probabilities, no matter how absurdly small, always produce an infinite quantity when multiplied by an infinity. But Pascal is just making all these values up. He’s like the carnival barker, just inventing a larger prize, and expecting you to just “believe him” and thus update your estimate of the expected utility. But you shouldn’t believe him.
The attempt to discredit the source continues, but it fails miserably because Pascal is definitively not making the values up. When considering the Christian/Catholic God, the promise is of eternal blissful life if you believe and eternal torment if you don’t. Those are defining properties of the God-concept that we are considering. Pascal is not inventing values in an attempt to sucker us into believing, but simply looking at the properties of the God under consideration and noting their implications. Even if we argue that the idea of God rewarding us with Heaven for belief and punishing us with Hell for non-belief only gained its prominence from Pascal — which I don’t think is the case — that is an entirely reasonable extrapolation from the Bible itself. So we have absolutely no reason to think that Pascal is making it up, or that he’s some kind of fool for thinking it as if someone was lying to him. The concept of the Christian God that we are considering says that those are the consequences of belief or non-belief. That God may not exist, but again we knew that already, as the Wager only works if we don’t and can’t know if a God-concept that promises such consequences actually exists. So, no, Pascal’s not inventing it. That’s the God we’re considering. You cannot claim that the properties are “made-up” just because you don’t think the entity exists.
That’s maximally unlikely to be true. That we will live a million years is always going to be less likely no matter what Pascal says than that we will live a thousand. And so on up the line. “1,000,000 years of bliss” and “1 x 10^100 years of bliss” are not equally likely. And indeed, why should we believe any god will keep things going an infinitely long time? Since there is always a nonzero probability he’ll give up at some point and hang the whole business, and all probabilities approach 100% as eventualities approach infinity, no matter how unlikely it is that God will chuck it in, your utility function is always going to tell you it’s all but 100% certain he eventually will. Likewise if we adopt a diminishing returns theory of lifespan, such that the longer you live, the less relatively valuable adding more years becomes, such that an infinite lifespan actually tops out at a finite value. Either way, that value is still an arbitrary invention of whatever shady carnival barker like Pascal is promising it.
Carrier accuses Pascal of making things up, and yet one of his big arguments here requires … making something up. Specifically, he has to invent the idea that God is going to give up providing eternal life despite that not being part of the concept nor a consequence of it. Why would God suddenly back out of the deal? God, as understood, would have the power to do so and so isn’t likely to, say, get tired of doing so or bored with it or run out of eternal life points or whatever would normally get a moral to give up on it. The only reason to even consider that is so that Carrier can try to make a point that we shouldn’t expect an eternity or even very long time of bliss, but we have no reason to think that if the Christian/Catholic God exists that his supposition applies to that God. Carrier is inventing it to make a point, and then throwing out all sorts of other invented suppositions that don’t apply to the God we’re considering to try to make it seem like we shouldn’t think that we’re going to get that eternal reward. But even with all that, it doesn’t work because we’re still likely to get more than one lifetime’s extra blissful life which would still make the Wager work out. He can try to hang it all on his probability assessment — leaning heavily on the idea that any small probability multiplied to infinity works out to 100% — but that’s a fake assessment anyway because the probabilities he’s generating are fake and invented anyway. We don’t need to add the complexity that this adds. Either that God exists and will reward us if it does or it doesn’t. Anything else is just making things up in the worst possible way.
We can call this the Liar’s Wager. Imagine I tell you you must give me all your wealth within twenty four hours or I will cast a spell causing your soul to be irrevocably defiled and thus trapped in a hell dimension for all eternity after you die—but if you obey me, I will cast a different spell that ensures your soul will go to a heavenly dimension. Of course you would not believe me. Infinite utility functions aren’t going to change your mind, in this case any more than Pascal’s. And they shouldn’t. That’s the problem. And it’s a problem fatal to Pascal’s Wager. Because yes, there is always a nonzero chance I am not lying—indeed, even as I am here telling you I am lying, there is still a nonzero probability I am lying about that, and thus actually telling the truth! And any probability, no matter how small, multiplied by an infinite gain, remains an infinite gain. So you should either believe me, or else abandon this clearly defective utility calculus. The latter is obviously what a rational person should do.
Except the reason I don’t believe Carrier in this case is because I don’t believe that someone can cast spells to do that. Also, the cost in this world is far greater than the cost in the Wager and so I can less afford to be wrong. That’s not true for God. We know that God — as a concept — can indeed do this and know from the motivations we have for God that He will. We don’t have any reason to think can Carrier can actually do that. Moreover, God — at least in modern times — isn’t asking for all of my wealth leaving me entirely destitute and miserable in this world. The Wager, as understood currently, is based on two horns: the payoff if correct is enormous and the cost in this world isn’t particularly onerous. You can make an argument that the return would be better no matter the cost, but most people are indeed going to be rightly hesitant to take very dramatic actions for that sort of reward. They’d pretty much have to know that they are going to get it and trust the source. Otherwise, they’ll want the cost to be reduced before they’ll take the risk. So if Carrier demanded $10, it might well be worth it to do that (putting aside that people do not believe that people can do that). So Carrier needs to understand that both the reward and the cost factor in here.
And, ultimately, that’s where Carrier’s argument goes wrong: he ignores that it’s not simply the numbers that determine whether we want to make the Wager, but also the context, which is the primary determinant of whether we trust a Wager or not. Let me use this example, as I now have a game show channel that shows Dragon’s Den and Shark Tank. Imagine that you have a company selling a product, and Kevin O’Leary is going to make you an offer for 10% of your company. By Carrier’s reasoning, the more O’Leary is willing to offer you, the less you should trust his offer. Therefore, if he offers you $1000 for that 10% that’s more reasonable than if he offers you $1,000,000 for that 10%. Except it clearly isn’t. First, O’Leary and most of those sorts of investors are all about the valuation, and by those numbers O’Leary would be saying that in the first case your company is only worth $10,000. He clearly wouldn’t have faith in your business at that valuation, and having faith in the business is the main reason someone would invest in it. Second, start-ups need capital, and giving away that much equity for that little money would greatly impede its ability to raise capital. Either O’Leary has no faith in your company and just wants you to go away, or else he has such faith that he thinks you don’t need the money and is trying to sucker you. Either way, you shouldn’t take the deal. However, at $1,000,000, that gives enough working capital to get things done, and also represents a significant investment on his part. He clearly has faith in your company’s ability to succeed.
The key here is that given his access to funds, we can easily believe that O’Leary can indeed afford to give that much money as an investment. If, on the other hand, _I_ offered that much money for that 10% stake, you would have to wonder where I’m getting that money from. Either I’m lying to you and won’t actually give you the capital I’m offering, or I’m making a promise that I have no way of keeping. Either way, it would behoove you to get me to prove that I could provide that promised reward before taking the deal. None of that is required for Kevin O’Leary. Similarly, we know that the God as conceived is capable of providing the reward, and we know from the concept that it has understandable motivations for doing so. Thus, that context eliminates the reasons we have for doubting that it will provide the reward. Again, it’s not the size of the reward that determines our levels of doubt, but what the size of the reward means wrt the situation we’re in. Within reason, the more money Kevin O’Leary offers the more we should trust that he’s serious. For Pascal’s Wager, the bigger the reward the more consistent it is with it being something that a god would and could offer.
If the utility function we have to adopt as a premise in Pascal’s Wager to make that Wager work entails that all I have to do is tell a bigger lie (about “infinite” costs and rewards, or even just “absurdly large” ones, like merely “a thousand years” of bliss or hell), and you should believe me, when you wouldn’t believe me if I told a smaller lie (like that you will receive just “ten years” of riches or misery “while still living”), the Wager is clearly depending on an irrational utility function. Telling a bigger lie should not increase the probability of its truth. If you wouldn’t believe the smaller claim, you should even less believe the bigger claim. And this is because, indeed, the epistemic probability of a payoff (or cost) always declines as the claimed payoff (or cost) increases. And when you increase it infinitely, the epistemic probability is likewise infinitely decreased.
But, again, the Wager is not adding any epistemic warrant. And for all Wagers, as long as we have no reason to believe the Wager is fake and believe that the entity offering the reward can deliver it, the bigger the payoff the more reasonable it is for us to take a chance on it, as long as the cost is not overly onerous.
Carrier next moves on to the “many gods” argument:
For the same reason, Pascal’s Wager also falters on the rule of total evidence. And this many critics have long pointed out already, via the “many-gods objection.” The probability of some claim G can only ever be the converse of the sum of the probabilities of all other competing claims. In other words, P(G) must necessarily equal 1 – P(~G), and P(~G) must necessarily equal P(G1) + P(G3) + (PG4) + … P(Gn) for every n. In short, the Wager cannot be taken without taking into account all possible outcomes of the Wager—in other words, all possible Wagers. Thus to be at all rational, or indeed at all logically coherent, Pascal’s Wager must divide the total utility space among all possible Wagers. The result is no differential recommendation as to choice. There is no bet to make.
Even with his Bayesian reasoning, Carrier still cannot get the “many gods” argument to work. Or, rather, not in a way that works for atheists. Even if all of the various gods balance off against each other, at least if you pick one you have a chance of picking the right one (if one exists). But since we don’t have any even remotely credible gods that will reward you if you don’t believe in them and punish you if you do — the only such gods ever proposed tend to be proposed precisely for the Wager with nothing else to them, which means that inside the argument we know that they’re invented — the atheist has no chance of guessing correctly. So the more reasonable Wager here is to pick the one that most resonates with you and hope that either that is the right god or that there really isn’t any god. The atheist can only hope that there really isn’t any god. So, again, it doesn’t provide any epistemic warrant, but it does suggest that picking a god is better than not picking one. Thus, the “many gods” argument provides no succor for the atheist.
Carrier then tries to push his own “Wager”:
There is an equally valid “Pascal’s” Wager for atheism even on the presumption that God exists. Let’s call it Carrier’s Wager. I lay out the case in The End of Paacal’s Wager. In short, there is strong evidence to believe that if a moral God exists, that God wants us to be atheists, and will reward us for it. Therefore we should bet on atheism even if God exists. It can’t be objected to this that atheists should never bet against God if he exists, since anyone trusting Pascal’s Wager is already conceding we should be theists even if God does not exist. It’s doing the same thing either way. Thus Pascal’s Wager becomes self-refuting. Which exposes its vacuity. It was all along asking us to believe things we already know to be false (that its defective utility function is rational, that there is only one God to bet on, and that that God just conveniently happens to be a Coercive one). That those same false things can be used to prove exactly the contrary conclusion only cooks the goose further.
The argument is roughly this: a good God — or at least one worth worshipping — would only want those people in heaven who are intellectually honest and critical, as those are the only people who can be morally good. But the evidence from this world suggests that either no God exists, or else that God is evil. Thus, we should believe that God doesn’t exist and as that’s the only category that the morally good will fall into — as good people won’t sanction an evil God — God will reward us for it.
This fails because Pascal’s Wager only works if we can’t actually know whether a specific God exists or not. But Carrier’s argument here says that we do know that the Catholic God doesn’t exist, as He is defined as being good and yet as being responsible for this world, and also has belief in Him as a requirement for salvation. If Carrier knows that that sort of God exists from his reasoning, or even knows that the only kind of God that can exist is that one, then he doesn’t need the Wager. And if he doesn’t know that that sort of God exists or is the only one that can based on the evidence from this world, whence comes the concept? He clearly would be just making it up, and we have no reason to believe or make any kind of Wager on a concept that we know is made up. Either way, his Wager fails. Either it’s not a wager at all, or we have no reason to bet on his view.
In fact, we can generalize this reasoning. If we should take any Wager, and the probability of a morally good god is higher than a god who is not morally good (as anyone trusting Pascal’s Wager is committed to believing), then we should wager on a morally good god. But a morally good god would not reward or punish anyone for failing to adopt an epistemically doubtful belief. Just try to think of any scenario in which any moral person you know would do that to someone; you will be unable, because acting like that would be immoral in every moral system anyone deems credible; you would always condemn it. Yet for whatever reasons, if God exists, they have chosen to leave their existence epistemically doubtful.
This, however, is a rather dubious claim that needs far more development than Carrier does anywhere. The original argument relies critically on all morally good people being ones who are intellectually critical and so seek out truth, but even with that it is always possible to have cases where the truth can’t be found and so we have no way to know whether or not the belief is true. It would be perfectly reasonable for people who are capable of knowing what we for various reasons are not able to know to ask us to trust them and believe based on their word alone. In fact, a morally good person might well want people to demonstrate trust rather than demanding constant proof, which is a bit of a buffer against the argument that God wouldn’t hide from us. If we are demanding that we shouldn’t need to trust God and so God should be constantly demanding, that seems less like us being intellectually critical and more us being petulant. About the only argument left is the idea of there being competing gods and so God should make it obvious which one is real … but then again there are lots of theological reasons why that might not be the case. Either way, this reasoning isn’t particularly strong.
Which means, basically, a morally good god will only judge us according to our adherence to ethical naturalism. Which the natural evidence, wholly without God, already prescribes we do. Therefore, again, if a moral god is more likely than an amoral one, and Pascal’s Wager can produce any true conclusion at all, then the conclusion of Pascal’s Wager is simply, “You ought to live your life in accordance with ethical naturalism,” and in particular, “whichever ethical naturalism the evidence most clearly indicates is most conducive to our enjoying a satisfying inner life and external community.” Only an immoral God would not rescue those who live moral lives by that standard, be they atheists or believers; and since an immoral God is less likely than a moral one, Pascal’s Wager produces no sound argument that we shouldn’t be atheists. We should simply believe what the evidence evinces; and live good lives.
Well, actually, Carrier’s initial argument seems to rely on the evidence we have showing that there’s either no God or an evil one, and the Problem of Evil tries to establish that given the world we have God being immoral is more likely than the converse, so by this own reasoning it isn’t reasonable to say that an immoral God is less likely than a moral one. He could mean that under Pascal’s Wager that would have to be the case, but that also doesn’t seem to be true, as we would have to consider immoral gods there as well. About the only thing to raise doubt would be that we couldn’t trust an immoral god to keep its word about the reward, but in this case all we’d have is an immoral god in the sense that it would punish us for not having faith in a belief that we couldn’t justify, but that wouldn’t say anything about that god’s honesty. A god that would do that could be honest and always live up to its agreements, and Carrier does not derive that it would do that from some sort of general immorality, but instead derives that the god is in some sense immoral if it does that, so that gives us no strong reason to think that god immoral outside of that. So we can’t dismiss the idea that the immoral god in that sense would keep its word. Even if we think that it being immoral would mean that we can’t trust that we’ll get the reward, it being immoral would only make it more likely that it would punish us for not believing. And the eternal punishment consequence is strong enough on its own to get us to consider taking the Wager to avoid that punishment. So if we really did think that an immoral God possibly existed, then we definitely should believe in it to avoid the punishment that we know it would foist on us if it existed. We could hope that a moral God might have compassion for us, but a strongly immoral God won’t. And we could trust that we might get the reward if we have an immoral God that is not strongly so.
So, it isn’t clear that a morally good God wouldn’t ask us to believe on faith, and an immoral God is almost certainly going to punish us if we don’t believe. Thus, acting as an ethical naturalist isn’t going to help unless the God that exists is Carrier’s specific one … but Carrier doesn’t know that that God exists or is the only one that can exist. So this line doesn’t work either.
Ultimately, the key argument is indeed the genuine belief one. A genuine belief being required underpins all of the other arguments. If we simply can’t form a genuine belief based on the Wager then none of the other arguments matter, and if we can then at a minimum picking one always seems to be the best bet. Carrier oddly claims that the genuine belief argument is irrelevant and that the other ones are key, but most of his examinations of them are eccentric at best and don’t really work. Because it’s an argument from consequences, Pascal’s Wager cannot add epistemic warrant, and so no one should ever use it that way. But there are other ways to use it. Carrier’s replies miss all of those as well, and so this entire post doesn’t seem to really achieve anything wrt Pascal’s Wager.