Lawless Events and the Existence of God

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Christine Overall famously argued that miracles, conceived as violations of the laws of nature, would be evidence against the existence of the traditional God. A lengthy debate with Robert Larmer ensued, in which Larmer argued that only slight modifications to the law-breaking account of miracles are necessary in order for miracles to serve as evidence for, rather than against, the existence of God. Larmer tries to argue that miracles do not violate the laws of nature, but nevertheless holds that they are different from ordinary events in that they don't follow from the laws of nature. (I don't have Larmer's book handy to remember the exact details of his account.)

The Overall-Larmer debate in some respects replays one dialectical thread from the Leibniz-Clarke correspondence: Clarke defends the view that any sufficiently widespread natural regularity should be regarded as a law, and any event that violates such a regularity should be regarded as a miracle. Furthermore, Clarke argues, miracles of this sort occur from time to time. Leibniz argues that God, as traditionally conceived, would not create a world of the sort Clarke envisions and, furthermore, that Clarke's weak conception of laws does not allow a theologically adequate distinction between miracles and ordinary events.

I think Overall pretty decisively won the debate with Larmer, and Leibniz pretty decisively won the debate with Clarke on this and most other points. (One point where Leibniz clearly loses: his insistence that if there were not a unique best possible world God would be unable to create a world is clearly false.) However, there are a lot of people who seem to disagree, who continue to hold that miracles are best understood as somehow in tension with laws, and that such events can serve as evidence for the existence of the traditional God. I in fact think that miracles should not be conceived as in any sort of tension with laws, so, instead of speaking of miracles, I'll speak of 'lawless events'. Lawless events are those which don't follow, either probabilistically or deterministically, from the laws of nature. (interpret 'follow from' in whatever sense your favorite theory of laws requires.) In this post I am concerned with arguments from the traditional divine attributes against the occurrence of lawless events. These arguments will of course work backward to show that lawless events would be evidence against the existence of a being with those attributes.

The intuition behind this general line of argumentation is best stated by Leibniz:

Sir Isaac Newton and his followers have also a very odd opinion concerning the works of God. According to their doctrine, God Almighty wants to wind up his watch from time to time; otherwise it would cease to move. He had not, it seems, sufficient foresight to make it a perpetual motion. Nay, the machine of God's making is so imperfect according to these gentlemen that he is obliged to clean it now and then by an extraordinary concourse, and even to mend it as a clockmaker mends his work, who must consequently be so much the more unskilful a workman, as he is oftener obliged to mend his work and to set it right. (First Paper to Clarke, sect. 4)

I do not say the material world is a machine or watch that goes without God's interposition ... But I maintain it to be a watch that goes without wanting to be mended by him; otherwise we must say that God bethinks himself again. No, God has foreseen everything. He has provided a remedy for everything beforehand. There is in his works a harmony, a beauty, already pre-established.

This opinion does not exclude God's providence or his government of the world; on the contrary, it makes it perfect. A true providence of God requires a perfect foresight. But then it requires, moreover, not only that he should have foreseen everything but also that he should have provided for everything beforehand with proper remedies; otherwise he must want either wisdom to foresee things or power to provide against them ... According to this doctrine, God must want either power or good will. (Second Letter to Clarke, sects. 8-9)


Here, as in much of philosophy, the difficult question is to turn this vague intuition into a fully articulated argument. Here are two versions of the argument, one deductive and one inductive.

Deductive Version

  1. A perfectly rational being who could create a world would choose a world which was optimally simple relative to the class of worlds which (a) are among his options, and (b) achieve all of his ends. A world is optimally simple relative to a class of worlds iff it achieves the best balance of (i) having few laws, (ii) having simple laws, and (iii) having few lawless events. (There may be more than one optimally simple world relative to a class, if there is a tie.)

  2. An omnipotent being's class of options for worlds to create would include every possible world.

  3. For any set E of rationally permissible ends, and world w in which those ends are achieved, there is a possible world w' in which all members of E are achieved at least as well as in w, and whose laws are as few and simple as those of w, and in which there are no lawless events.

  4. Therefore,
  5. A being who was perfectly rational and omnipotent would create a world in which all of his ends were achieved without lawless events.

All 3 of the premises here are controversial, but I find them all plausible. Something like (1) is going to have to be true if predictability or consistency is partly constitutive of rationality, and it is. Furthermore, we could probably get the argument off the ground with some sort of doctrine of divine constancy. Nevertheless, (1) as stated might be strictly false, if the being's ends compete with each other in some way. (2) has been much debated in the literature, so I won't discuss it here. I'm not sure I endorse it. (I do believe that if God should will to create any world, he would create that world, but (2) doesn't follow from that claim.) It should be possible to weaken (2) and strengthen (3) to compensate, so that the argument still goes through. (3) seems to me to be on the shakiest ground. I think a defense could be mounted by a combination of modal intuitions about plenitude of worlds and the view that any end that, necessarily, could only be achieved through disorder would not be rationally permissible. However, I think modal intuitions tend to be shaky, so we perhaps shouldn't be too confident in (3). Anyway, we can mount an inductive version of the argument with much less controversial premises:
Inductive Version
  1. A perfectly rational being who could create a world would, ceteris paribus, create a world in which there was as little disorder as possible.

  2. Lawless events would be instances of disorder.

  3. It is (subjectively) highly probable that, among all the worlds an omnipotent being could create, there are some which are just as good as the actual world in other respects and have no lawless events.

  4. Therefore,
  5. On the hypothesis that the world was created by an omnipotent and perfectly rational being, it is highly probable that there are no lawless events.

Here (1) and (2) seem unassailable. (3) is perhaps somewhat controversial, but it at least matches my intuitive evaluation of the situation, and I'm sure I'm not the only one.

A skeptical theist response to this argument might be tempting. However, using this strategy to prevent miracles from being evidence against the existence of God will likewise prevent it from being evidence for the existence of God, since the result will be that the probability of lawless events on the hypothesis of theism is inscrutable. So it seems that lawless events are at least not evidence for the existence of the traditional God, and may even be evidence against.

Now, I don't think lawlessness is part of the ordinary religious believer's conception of a miracle in the first place. But even if it is, a rational reconstruction is in order. If the concept of a miracle is taken to include lawlessness, then miracles just can't play the roles religious thought takes them to.

[cross-posted at blog.kennypearce.net]

6 Comments

Here's an argument against (3) in the deductive argument. Among rationally permissible ends, there are ends that de re include particular individuals, such as "saving Peter" or "creating Mary". Typical humans have ends that de re include particular individuals (if only themselves, but bracket that case), and these ends are not vicious for that reason.

But now it becomes very difficult to make claims like (3). For it may well be that there is only a relatively narrow range of worlds in which a particular individual exists. For instance, suppose essentiality of origins holds and the conception of Isaac was a lawless event. Then rationally permissible ends such as "create Jacob" or "create Solomon" logically require that lawless event. Moreover, even if essentiality of origins does not hold, it seems pretty plausible that enmattered individuals like us may be significantly law-bound: it would be logically impossible for us to exist in a world where there are significantly different laws. (Argument: It would be logically impossible for me to exist without ever having had an electron in my body. But, plausibly, electrons are significantly law-bound.) So if one of the permissible ends is "save Peter", that's an end that requires laws sufficiently similar to those of our world. And now it is far from clear that there is a world with such laws that does the job, because the range of laws available in which Peter exists is pretty narrow--maybe only the actual laws qualify, in fact.

But I also want to challenge your Leibnizian intuition. First, as a historical point, Leibniz did think it was OK that there were some miracles. What he objected to in Newton was the idea of a universe that in the ordinary course of its operations required miracles.

Leibniz's thinking here is essentially aesthetic. And I think it is quite reasonable to say that a beautiful work of art may call for an element of asymmetry. Think of the rule of thirds in photography. It is my understanding that if we take a photo of a face and reflect one half to make the face fully symmetric, we will find the result not quite right. Or: "The young Princess Bolkonskaya had brought some work in a gold-embroidered velvet bag. Her pretty little upper lip, on which a delicate dark down was just perceptible, was too short for her teeth, but it lifted all the more sweetly, and was especially charming when she occasionally drew it down to meet the lower lip. As is always the case with a thoroughly attractive woman, her defect—the shortness of her upper lip and her half-open mouth—seemed to be her own special and peculiar form of beauty." (War and Peace, I.2) Or see the example in Figures 4 and 5 of Section 7 here.

There is something artistically striking about a background of great lawlike order--and then against that background there comes out an ecstatic element of something singular. The order reflects divine unity; the singularity reflects divine otherness. There are other aesthetic interpretations possible.

Notice that to refute (3) from your first argument all I need is to show that some end that requires this kind of imbalance is rationally permissible. And that is surely true. There are permissible artistic ends that are served by a breaking of order that cannot be served without it (if only because artistic ends have a significant particularity to them, just like individual-involving ends do).

And I think these points apply in regard to (3) in your inductive argument, too. You're quantifying over respects. Well, particular kinds of aesthetic goods provide respects that need to be included in the quantification.

Kenny: just to be clear, why couldn't the origin of the universe and the Incarnation follow laws unique to those event types?

(BTW: I really like this post and exchange.)

Kenny:

1. Are they laws you're talking about merely Mill-Ramsey-Lewis laws (basically, propositions that enter into the account of the universe that optimizes brevity and informativeness), or beefier laws that move particles about, etc.? If they're MRL laws, then even the Incarnation could be lawful, because it might be an MRL law that prophecies are fulfilled, and the Incarnation was prophesied (albeit darkly). If they're MRL laws, then I think your claim has some plausibility.

But if they are beefier laws, then I think the claim is less plausible. Consider, for instance, conversations with God. While it's possible that God set up natural causes to make the human hear God, there is something odd about this scenario. In fact, it seems to violate something that is otherwise a law about conversations. :-)

2. Suppose we're talking about MRL laws. Then we have a way of using miracles in arguments for Christianity, even if they are lawlike. For they may be lawlike in respect of laws like: Whenever E is prophesied unconditionally, E happens. And while one might think (erroneously) that no explanation of the fundamental law G = 8 pi T of general relativity is needed, a law like this one calls out for explanation. Likewise, for the more subtle non-mathematical laws like the ones governing jazz. If the universe is filled with jazz--not just a perfectly regular sine wave and not white noise, but jazz--then surely someone is jazzing.

3. If Molinism and theological compatibilism are false, rigging things to coordinate with people's free actions is going to be tricky. The initial conditions of the universe will have to be explanatorily posterior to Moses' choice when to raise his arm (assuming that was non-derivatively free). But Moses' choice when to raise his arm is explanatorily posterior to the initial conditions of the universe. Maybe one can these conditions apart: maybe Moses' choice is explanatorily posterior only to fact I1 about the initial conditions, while being explanatorily prior only to fact I2 about the initial conditions. But given how entangled everything in the world is, I am not sure such separation of aspects of the initial conditions is likely to be workable without miracles somewhere along the way.

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