God, Faith and Infinity » Lecture 3
Teleology comes from the Greek telos, meaning ‘goal’ or ‘aim’. So a teleological explanation is one that cites purposes.
Purposes are one of Aristotle’s ‘four causes’ – four kinds of explanations, or answers to ‘why?’ questions.
And again, a thing may be a [reason] as the end. That is what something is for, as health be what a walk is for. On account of what does he walk? We answer ‘To keep fit’ and think that, in saying that, we have given the [reason]. (Aristotle 1984, 195a33–5)
Teleological explanations are often appropriate when thinking about rational action, because the behaviour to be explained is the result of an intention or plan that aims at some end goal.
In this lecture we turn to Kant’s third category: teleological arguments.
These are arguments for the existence of God with this rough form:
In making this inference one infers, from the fact that a certain hypothesis would explain the evidence, to the truth of that hypothesis. In general, there will be several hypotheses which might explain the evidence, so one must be able to reject all such alternative hypotheses before one is warranted in making the inference. Thus one infers, from the premise that a given hypothesis would provide a “better” explanation for the evidence than would any other hypothesis, to the conclusion that the given hypothesis is true.
There is, of course, a problem about how one is to judge that one hypothesis is sufficiently better than another hypothesis. Presumably such a judgment will be based on considerations such as which hypothesis is simpler, which is more plausible, which explains more, which is less ad hoc, and so forth. (Harman 1965: 89)
In crossing a heath, suppose I pitched my foot against a stone, and were asked how the stone came to be there, I might possibly answer, that… it had lain there for ever…. But suppose I had found a watch upon the ground, and it should be enquired how the watch happened to be in that place, I should hardly think of the answer which I had before given…. Yet why should not this answer serve for the watch as well as for the stone? … For this reason, and for no other, viz. that, when we come to inspect the watch, we perceive (what we could not discover in the stone) that its several parts are framed and put together for a purpose, e.g. that they are so formed and adjusted as to produce motion, and that motion so regulated as to point out the hour of the day; … the inference, we think, is inevitable, that the watch must have had a maker: that there must have existed, at some time and at some place or other, an artificer or artificers who formed it for the purpose which we find it actually to answer; who comprehended its construction, and designed its use. (Paley 1802: 1–3)
But, says Paley, the atheist would have to reject this ‘inevitable’ conclusion.
every indication of contrivance, every manifestation of design, which existed in the watch, exists in the works of nature; with the difference … that the contrivances of nature surpass the contrivances of art …. (Paley 1802: 19)
Note that Paley’s argument doesn’t present on its face as a design argument in our sense, since he talks of the design conclusion being inevitable – i.e., the only explanation – rather than just the best explanation.
Even if we were convinced that the only way to explain a device of brass and steel and glass was that it is inevitably the product of design, it simply does not follow that that the only way to explain a organism of muscle and sinew and bone is that it is inevitably the product of design.
The markers we see in artefacts like the watch –
– are just not present in organisms.
Though it be now [once we find the reproductive capability] no longer probable that the individual watch which our observer had found was made immediately by the hand of an artificer, yet does not this alteration in anyway affect the inference that an artificer had been originally employed and concerned in the production. The argument from design remains as it was. … No one … can rationally believe that the insensible, inanimate watch, from which the watch before us issued, was the proper cause of the mechanism we so much admire in it… (Paley 1802: 11–13)
Recall Harman: ‘there will be several hypotheses which might explain the evidence, so one must be able to reject all such alternative hypotheses before one is warranted in making the inference’.
The only alternative Paley explicitly considers is mere possibility (maybe chance?), and clearly the designer hypothesis is better than that:
Nor, fourthly, would any man in his senses think the existence of the watch … accounted for, by being told that it was one out of possible combinations of material forms; that whatever he had found in the place where he found the watch, must have contained some internal configuration or other; and that this configuration might be the structure now exhibited, viz. of the works of a watch, as well as a different structure. (Paley 1802: 6)
But if we can come up with an alternative hypothesis which cannot be rejected in this way, we will be unwarranted in inferring the existence of a divine designer.
One can imagine Paley responding as follows:
If evolution is to explain complexity and environmental suitability, then we must have the preconditions for descent with modification – we must start with reproductive capability and heritability. But these are complex processes already – how could they just arise from nothing, without the input of a designer?
You can’t evolve evolution itself. This is the hypothesis of theistic evolution, that evolution is real but set in motion by God.
But we have some evidence that RNA molecules can (i) replicate themselves, and (ii) could have formed spontaneously given the ‘goldilocks chemistry’ of the early earth (Marshall 2011).
Some criticisms of the design argument focus on IBE in general (van Fraassen 1989: ch. 6).
One avenue of criticism of ampliative inference comes from David Hume, who argues that IBE can’t provide rational justification:
I say then, that, even after we have experience of the operations of cause and effect, our conclusions from that experience are not founded on reasoning, or any process of the understanding. (Hume 1777: §4.16).
Why not? IBE only justifies belief if we assume that best explanations are more likely to be true.
But this assumption can be established only by use of IBE, which ‘must be evidently going in a circle, and taking that for granted, which is the very point in question’ (Hume 1777: §4.19).
A probability is a function: it assigns to every proposition drawn from some topical field \(\Omega\) a number in accordance with these rules: for any \(A\) and \(B\) in \(\Omega\),
Probability is thus – mathematically speaking – a normed measure. All this means is that it measures the volume of a proposition in some logical space; and that it is a proportion rather than an absolute size.
The best version of the design argument, in my opinion, uses an inferential idea that probabilists call the likelihood principle (LP). This can be illustrated by way of Paley’s (1802) example of the watch on the heath. Paley describes an observation that he claims discriminates between two hypotheses:
- (W)
- O1: the watch has features \(G_{1}, \ldots, G_{n}\).
- W1: the watch was created by an intelligent designer.
- W2: the watch was produced by a mindless chance process.
Paley’s idea is that O1 would be unsurprising if W1 were true, but would be very surprising if W2 were true. This is supposed to show that O1 favours W1 over W2; O1 supports W1 more than it supports W2. (Sober 2003: 26)
Surprise is a matter of degree; it can be captured by the concept of conditional probability. The probability of observation (\(O\)) given hypothesis (\(H\)) – \(\Pr(O\mid H)\) – represents how unsurprising \(O\) would be if \(H\) were true. LP says that comparing such conditional probabilities is the way to decide what the direction is in which the evidence points:
- (LP)
- Observation \(O\) supports hypothesis \(H_{1}\) more than it supports hypothesis \(H_{2}\) if and only if \(\Pr(O\mid H_{1})>\Pr(O\mid H_{2})\). (Sober 2003: 26–27)
This explains why the likelihood version of the design argument does not show Design is more probable than Chance. … I see no way to understand the idea that the two hypothesis have objective prior probabilities. Since I would like to restrict the design argument … to matters that are objective, I will not represent it as an argument concerning which hypothesis is more probable. (Sober 2003: 27–28)
Sober makes the point that the comparative version of the argument only succeeds if we make the right comparisons – and Paley does not:
Paley addressed the alternative of uniform chance, not the alternative of natural selection.… Showing that Design is more likely than Chance leaves it open that some third, mindless, process might still have a higher likelihood than Design. This is not a defect in the design argument, so long as the conclusion of that argument is not overstated. (Sober 2003: 30–31)
But the weakened conclusion is – for us, with the live hypotheses we have available – next to useless.
Design doesn’t come out better in the comparisons we actually want to make.
Set aside those other hypotheses. The crucial premise in the argument Sober actually gives us is (L2), that what we observe is more likely given Design than it is given mere Chance.
Defenders of design often justify (L2) by arguing that what we observe is very unlikely given mere Chance.
But that is only half the job: they need also to argue that ‘\(\Pr(O\mid \text{Design})\) is higher’ (Sober 2003: 36).
But the kind of Designer who might have designed us is to us incomprehensible. So how do we have any idea what God’s intentions are, such that the features we observe are made probable by his plan?
As Anselm puts it,
[My understanding] does not grasp it; and the eye of my soul cannot bear to gaze at length upon it … [and] is dazzled by its splendor, overcome by its vastness, overwhelmed by its immensity, confounded by its capacity. (Anselm 1078: §16)
We are invited … to imagine a designer who is radically different from the human craftsmen [sic] we know about. But if this designer is so different, why are we so sure that he would build the vertebrate eye in the form in which we find it? (Sober 2003: 36–37)
Our judgments about what counts as a sign of intelligent design must be based on empirical information about what designers often do and what they rarely do. As of now, these judgments are based on our knowledge of human intelligence. The more our hypotheses about intelligent designers depart from the human case, the more in the dark we are as to what the ground rules are for inferring intelligent design. … The upshot of this point for Paley’s design argument is this: Design arguments for the existence of human (and human-like) watchmakers are often unproblematic; it is design arguments for the existence of God that leave us at sea. (Sober 2003: 38–39)
Many theists have argued that the system of the world - the laws of nature that permitted the complexity and structure we see around us – was designed.
This hypothesis is a refuge for contemporary proponents of theistic evolution: we do away with individual design and special creation in favour of a single primordial act of design, the setting up of the laws of nature in such a way that the formation of stars and planets, the origin of life, and its subsequent evolution, are all expected outcomes.
For, it is said, our universe is fine-tuned for life:
according to many physicists, the fact that the universe is able to support life depends delicately on various of its fundamental characteristics, notably on the form of the laws of nature, on the values of some constants of nature, and on aspects of the universe’s conditions in its very early stages. (Friederich 2021)
Assuming there is just the one universe, the fact that it is life-permitting is surprising. For this otherwise extremely improbable outcome of the big bang is more probable on the assumption that there is a cosmic designer, who might adjust the physical parameters to allow for the evolution of life. So the fine-tuning facts challenge us to question whether the big bang was merely an accident. (White 2000: 273)
Here, again, explicit appeals to IBE are replaced by probabilistic reasoning to the effect that fine-tuning confirms or is evidence for the existence of a designer.
The conclusion also seems to be comparative: that fine-tuning is better evidence for a designer than for the rival hypothesis that it was an ‘accident’.
We could analyse this using the likelihood framework, but the probabilistic conception of support White has in mind is this:
Of course, in some sense this is not surprising at all. We already knew we were in a universe in which life evolved – we are alive!
I certainly would not have expected to find myself in a universe where life didn’t evolve. So all of my confidence should already have reposed in those hypotheses according to which the laws of nature permitted life to evolve.
This illustrates the weak anthropic principle:
what we can expect to observe must be restricted by the conditions necessary for our presence as observers. (Carter 1974: 291)
This trivialises the likelihoods, and thus guarantees no confirmation – on both the Bayesian and likelihoodist approaches.
To make sense of the idea that there is still something to be surprised at here, proponents of the argument have opted to interpret \(\Pr\) as an ur-probability (Monton 2006: §4):
rational credences of some counterfactual epistemic agent who is unaware that the constants are right for life (Friederich 2021: §3.3).
What is in need of explanation, on this view, is that a life-permitting universe exists, given that ‘reason alone’ would not lead us to rationally expect that outcome.
This isn’t quite the approach of objective likelihoodist, but they too need some kind of probability given background knowledge which doesn’t trivialise the fine-tuning evidence.
Even using the ur-probability approach, does the low rational prior probability that the universe is life-permitting need an explanation?
Sometimes things ‘just happen’ – maybe it is brute fact that the universe is fine-tuned, not explained by a chance mechanism or by divine intervention, because not needing explanation at all.
brute facts would presumably include the ultimate laws of physics, the fact that the universe contains a particular amount of matter or energy rather than some other amount, or the fact that the universe exists at all. These facts are ontologically brute just in case there is no underlying reason for their existence—they are simply the fundamental facts about reality from which all other facts in some sense derive. It suffices to simply stretch our imagination to conceive of a possible world consisting almost entirely of brute facts—imagine a universe that consisted of nothing but brightly colored explosions which each occurred for no reason whatsoever. (Barnes 1994: 62)
If confirmation is about how your posterior credence reflects your evidence, why should you care about some hypothetical ur-agent with different credences and different evidence?
All this shows is that someone might find the evidence of fine-tuning boosts their confidence in a designer; it does not show that you should have your confidence so boosted.
I already knew that our universe was special, in the sense that there are many possible universes similar to ours in certain ways and yet not life-permitting. I already knew that, if God existed, God would have to choose to actualize our life-permitting universe from among a sea of similar non-life-permitting universes. I already knew that, if God did not exist, there’s a sense in which we are lucky that the universe is life-permitting…. The fine-tuning evidence doesn’t change any of that, and hence the fine-tuning evidence doesn’t change my probability for the existence of God. (Monton 2006: 421)
This argument is valid, I think. It is indeed more probable that life has evolved somewhere if there are lots of attempts – lots of other universes.
But there is a potential problem. The evidence we have isn’t just that life has evolved somewhere – it is that life has evolved here.
Our evidence is thus strictly logically stronger than the claim life evolves.
And it is our total evidence that matters for support (White 2000: 264; Sober 2003: 35).
So we need to ask ourselves: if we replace ‘life has evolved’ with ‘life has evolved here’ throughout the above argument, does it still go through? In particular, does this revised claim follow from FTM1?
The analogy holds with the multiverse argument, since our evidence
is just the claim that [our world \(\alpha\) is fine-tuned], and the probability of this is just \(\frac{1}{n}\), regardless of how many other universes there are, since \(\alpha\)’s initial conditions and constants are selected randomly from a set of \(n\) equally probable alternatives, a selection which is independent of the existence of other universes. The events which give rise to universes are not causally related in such a way that the outcome of one renders the outcome of another more or less probable. They are like independent rolls of a die. (White 2000: 262–63).
If so, the likelihood of actual fine-tuning is indifferent to one universe or many.
on the assumption that our universe is just one of very many, the existence of a designer does not raise the probability that our universe should be life-permitting. For while we might suppose that a designer would create some intelligent life somewhere, there is little reason to suppose it would be here rather than in one of the many other universes. It is only on the assumption that there are no other options that we should expect a designer to fine-tune this universe for life. Given the existence of many universes, it is already probable that some universe will be fine-tuned; the Design hypothesis does not add to the probability that any particular universe will be fine-tuned. So the Multiple Universe hypothesis screens off the probabilistic link between the Design hypothesis and the fine-tuning data. Hence if we happened to know, on independent grounds, that there are many universes, the fine-tuning facts would give us little reason to question whether the big bang was an accident, and hence our knowledge of the existence of many universes would render the fine-tuning of our universe unsurprising. (White 2000: 273–74)
So fine-tuning doesn’t support the multiverse; we’re back to the fine-tuning argument for design.
That is: if
we can accept the conclusion of the Fine-Tuning Argument.
But that’s a lot of conditions!