Wednesday, March 22, 2006

A Probabilistic Argument for Design from the Contingency of the Universe

Given the contingency of the universe (the fact that it began to exist), I’d argue that such a premise would serve as good grounds for an excellent probabilistic argument against the rivaling hypothesis that what we observe as being apparent design is due to anything other than a mind (a personal, free agent). To demonstrate this, let us first assume the soundness of the following argument:

1. Whatever begins to exist has a cause.
2. The universe began to exist (I.e. the universe is contingent).
3. Therefore, the universe has a cause.¹

Now let us suppose that the universe is contingent ‘C’ (2) and we observe what appears to be design ‘D’² and yet we believe D to be the result of some natural phenomena ‘N.’ Now in this case, given that we observe D and have accepted the truth of C, It seems to me that C serves as an undercutting defeater for accepting N as following D on C. If this is true, then it follows that we are not justified in believing N as an adequate explanation of D on C and must adopt a new hypothesis to take the place of N. Given our options, not-N only leads us to one other conclusion; namely, that D is the result of a mind ‘M.’

Of course, this only makes sense if you take C to in some way entail M with greater probability than N, which I think it does. For if the universe were caused to begin to exist a finite time ago (C), then the only way to explain how a temporal effect could arise from a timeless cause would be if the cause were a personal agent who has the capacity to freely choose; i.e., (M):³

4. The universe was brought into being either by natural phenomena (N) or by a mind (M).
5. The universe could not have been brought into being by natural phenomena (not-N).
6. Therefore, the universe was brought into being by a mind (M). (DS, 4, 5)

And from that, we can summarize the rest of the argument as follows:

7. The universe is contingent (I.e. The universe began to exist) (C). (From 2)
8. We observe what at least appears to be design in the universe (D).
Therefore
9. The universe is contingent (C) and we observe what at least appears to be design in the universe (D). (Conj, 2, 8)
10. If we observe what at least appears to be design in the universe (D), then it is the result of either natural phenomena (N) or a mind (M).
11. It’s not the result of natural phenomena (not-N). (From 5) 12. Therefore, It’s the result of a mind (M). (From 6)
13. We observe what at least appears to be design in the universe (D).
14. The observed apparent design in the universe (D) is the result of either natural phenomena (N) or a mind (M). (MP, 10, 13)
Therefore
15. The observed apparent design in the universe (D) is the result of a mind (M). (DS, 11, 14)

Ergo, we are (at least) more justified in believing D is the result of M given C than we are N.
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  1. My argument doesn’t beg the question by first assuming that God exists as following from premise (3). All premise (3) concludes is simply that the universe has a cause, not that that cause is necessarily God.
  2. Though the criterion for identifying design might differ according to the kind of design looked for and/or the object in question, scarcely anyone would deny that certain facets of the universe, be they observable or unobservable, appear prima facie to be designed. In fact, most arguments against the design hypothesis are themselves attempts to explain away this apparent design-feature of the universe by way of some natural means. So the acceptance D (or premise (8) in my argument) should be uncontroversial.
  3. Though not the explicit aim of my argument, we can establish M (or premise (5) of my argument) on the basis of several other arguments in addition to the one mentioned above, a couple of which I will briefly mention. First, in the words of William Lane Craig, “a changeless, mechanically operating cause would produce either an immemorial effect or none at all.” (see Craig, “Creation and Big Bang Cosmology”) Second, the only entities we know of that could be ontologically independent from the spatiotemporal universe (timeless, immaterial, et al.) are either minds or abstract objects (numbers, sets, propositions, properties, etc.) But abstract objects do not have causal powers/stand in causal relations and therefore couldn’t cause anything. Hence, the cause is by the order of a mind.

Thursday, March 02, 2006

Swinburne’s Argument from Beauty

The main business of natural philosophy is to argue from phenomena without feigning hypotheses and to deduce causes from effects, till we come to the very first cause, which certainly is not mechanical: […] whence is it that nature does nothing in vain; and whence arises all that order and beauty which we see in the world?
—Isaac Newton, Opticks
1730, Query 28.

The concept of beauty has always left me in awe. When confronted with beauty, inevitably my mind begins to meditate on things beyond that which is present during said experience. It’s not so much beauty prima facie that leaves me in wonder (although it does), but that there even is such a thing. However, as mysterious as beauty is, it is perhaps a bigger mystery to me how, given certain beauty, one cannot find it within him or herself to do likewise—begin thinking of something much more vast; something to which such aesthetic marvels owe their existence.

In his book The Existence of God, Oxford philosopher Richard Swinburne lays out several “principles for assessing the explanatory power of theism” and thereafter applies them in “[probabilistic (P)] arguments to the existence of God (h) from various phenomena (e)” (with k representing background knowledge) using Bayes's Theorem. From the nature of the principles of explanation involved, Swinburne goes on to consider the “states of affairs which we can expect to find in the world, if there is a God,” and lists seven possibilities for explaining said observed phenomena. The goal of which is to “show that it is likely that the phenomena would occur if there were a God (that [the probabilistic value of] P(e/h.k) is high).”

Among his teleological arguments, Swinburne proposes his own form of the argument from beauty wherein he entertains principle 6 of the aforementioned principles:

...[T]hat God might have reason to bring about e, and reason to allow the occurrence of e or ~e to depend on processes outside his control, but overriding reason not to bring about ~e. In this case again [the probabilistic value of] P(e/h.k) will be intermediate between 1 and 0, but, intuitively, closer to 1 than under the third, fourth, and fifth possibilities—since there is, as it were, more bias in favour of e. Finally, God may have overriding reason for not allowing ~e to occur. In that case he will himself bring about the occurrence of e; P(e/h.k) = 1.

The value of P(e/h.k) in the intermediate cases will depend, more precisely, on exactly what e is, and in cases where God allows other processes the opportunity to bring about e, how many such other processes have this opportunity, and whether, although their actions are not fully dependent on God's will, they are in any way biased in favour of e or ~e. For example, the less specific is e (i.e. the more distinct states of affairs involve e), the more probable it is a priori that e occur—whether as a result of the action of God or of some creature given by God the opportunity to determine whether or not it occurs. Thus clearly a priori it is more probable that God bring about a universe with regular laws, than that he bring about a universe with the particular laws which our universe has. Or, if e is a state of affairs which any free agent can bring about, and God allows to each free agent the opportunity to bring e about, P(e/h.k) will be greater, the more free agents there are.

Accordingly, in Swinburne’s argument from beauty, k represents ‘an orderly physical universe', e represents ‘a beautiful universe', and h, the hypothesis 'there is a God' (in full, P(e/h.k)). The thrust of the argument is that it is more probable that God exists (h) given the existence of beauty (e) (when e is in conjunction with k) than not. He states, “A priori...there is no particular reason for expecting a basically beautiful rather than a basically ugly world. In consequence, if the world is beautiful, that fact would be evidence for God's existence.” Thus, invoking the existence of God is more probable an explanation than one that doesn’t when accounting for observed beauty in the cosmos: P(e/h.k) has a greater value than P(e/k). Therefore, as Swinburne demonstrates, the argument from beauty serves as a good C-inductive argument (where the premises add to the probability of the conclusion. i.e. make the conclusion more likely or more probable than it would otherwise be) for the existence of God.

I can humbly agree with Hume’s quip that “Beauty in things exists in the mind which contemplates them," but insofar as we agree beauty does in fact exist, what then is left for he who disbelieves but to deny beauty exists at all? Along with Swinburne (as I'm sure even apart from the rigors of philosophical reasoning), I also am therefore inclined to agree with Jean Anouilh that “Beauty is one of the rare things that do not lead to doubt of God.”