Pascal’s Wager

Blaise Pascal, in his Pensees, proposes his wager:

Let us now speak according to natural lights.

If there is a God, He is infinitely incomprehensible, since, having neither parts nor limits, He has no affinity to us. We are then incapable of knowing either what He is or if He is. This being so, who will dare to undertake the decision of the question? Not we, who have no affinity to Him.

Who then will blame Christians for not being able to give a reason for their belief, since they profess a religion for which they cannot give a reason? They declare, in expounding it to the world, that it is a foolishness, stultitiam; and then you complain that they do not prove it! If they proved it, they would not keep their word; it is in lacking proofs that they are not lacking in sense. “Yes, but although this excuses those who offer it as such and takes away from them the blame of putting it forward without reason, it does not excuse those who receive it.” Let us then examine this point, and say, “God is, or He is not.” But to which side shall we incline? Reason can decide nothing here. There is an infinite chaos which separated us. A game is being played at the extremity of this infinite distance where heads or tails will turn up. What will you wager? According to reason, you can do neither the one thing nor the other; according to reason, you can defend neither of the propositions.

Do not, then, reprove for error those who have made a choice; for you know nothing about it. “No, but I blame them for having made, not this choice, but a choice; for again both he who chooses heads and he who chooses tails are equally at fault, they are both in the wrong. The true course is not to wager at all.”

Yes; but you must wager. It is not optional. You are embarked. Which will you choose then? Let us see. Since you must choose, let us see which interests you least. You have two things to lose, the true and the good; and two things to stake, your reason and your will, your knowledge and your happiness; and your nature has two things to shun, error and misery. Your reason is no more shocked in choosing one rather than the other, since you must of necessity choose. This is one point settled. But your happiness? Let us weigh the gain and the loss in wagering that God is. Let us estimate these two chances. If you gain, you gain all; if you lose, you lose nothing. Wager, then, without hesitation that He is. “That is very fine. Yes, I must wager; but I may perhaps wager too much.” Let us see. Since there is an equal risk of gain and of loss, if you had only to gain two lives, instead of one, you might still wager. But if there were three lives to gain, you would have to play (since you are under the necessity of playing), and you would be imprudent, when you are forced to play, not to chance your life to gain three at a game where there is an equal risk of loss and gain. But there is an eternity of life and happiness. And this being so, if there were an infinity of chances, of which one only would be for you, you would still be right in wagering one to win two, and you would act stupidly, being obliged to play, by refusing to stake one life against three at a game in which out of an infinity of chances there is one for you, if there were an infinity of an infinitely happy life to gain. But there is here an infinity of an infinitely happy life to gain, a chance of gain against a finite number of chances of loss, and what you stake is finite. It is all divided; where-ever the infinite is and there is not an infinity of chances of loss against that of gain, there is no time to hesitate, you must give all. And thus, when one is forced to play, he must renounce reason to preserve his life, rather than risk it for infinite gain, as likely to happen as the loss of nothingness.

For it is no use to say it is uncertain if we will gain, and it is certain that we risk, and that the infinite distance between the certainly of what is staked and the uncertainty of what will be gained, equals the finite good which is certainly staked against the uncertain infinite. It is not so, as every player stakes a certainty to gain an uncertainty, and yet he stakes a finite certainty to gain a finite uncertainty, without transgressing against reason. There is not an infinite distance between the certainty staked and the uncertainty of the gain; that is untrue. In truth, there is an infinity between the certainty of gain and the certainty of loss. But the uncertainty of the gain is proportioned to the certainty of the stake according to the proportion of the chances of gain and loss. Hence it comes that, if there are as many risks on one side as on the other, the course is to play even; and then the certainty of the stake is equal to the uncertainty of the gain, so far is it from fact that there is an infinite distance between them. And so our proposition is of infinite force, when there is the finite to stake in a game where there are equal risks of gain and of loss, and the infinite to gain. This is demonstrable; and if men are capable of any truths, this is one.

“I confess it, I admit it. But, still, is there no means of seeing the faces of the cards?” Yes, Scripture and the rest, etc. “Yes, but I have my hands tied and my mouth closed; I am forced to wager, and am not free. I am not released, and am so made that I cannot believe. What, then, would you have me do?”

True. But at least learn your inability to believe, since reason brings you to this, and yet you cannot believe. Endeavour, then, to convince yourself, not by increase of proofs of God, but by the abatement of your passions. You would like to attain faith and do not know the way; you would like to cure yourself of unbelief and ask the remedy for it. Learn of those who have been bound like you, and who now stake all their possessions. These are people who know the way which you would follow, and who are cured of an ill of which you would be cured. Follow the way by which they began; by acting as if they believed, taking the holy water, having masses said, etc. Even this will naturally make you believe, and deaden your acuteness. “But this is what I am afraid of.” And why? What have you to lose?

But to show you that this leads you there, it is this which will lessen the passions, which are your stumbling-blocks.

The end of this discourse.–Now, what harm will befall you in taking this side? You will be faithful, humble, grateful, generous, a sincere friend, truthful. Certainly you will not have those poisonous pleasures, glory and luxury; but will you not have others? I will tell you that you will thereby gain in this life, and that, at each step you take on this road, you will see so great certainty of gain, so much nothingness in what you risk, that you will at last recognise that you have wagered for something certain and infinite, for which you have given nothing.

Pascal is not arguing that here God exists, or that Christian doctrines are true. He is making a moral argument that it is better to believe these things, whether they are true or not. But in this process he states or suggests a number of things which are not in fact the case.

First, he suggests that the probability that God exists is 50%. It is unlikely that this is a reasonable subjective probability for someone to assign, however he understands the idea of God. If God is understood as the first cause, a reasonable probability could be much higher than this. If God is understood in a significantly more concrete sense, a reasonable probability might be lower than this. But it would be unlikely for the reasonable probability to be exactly 50%, however God is understood.

He also implies that this probability of 50% is also the probability that the body of Christian and Catholic doctrine taken as a whole is true. This is basically inconsistent with the previous point, because if the existence of God has a certain probability, the probability that “God exists and these other statements are true as well,” will necessarily be lower than the probability of God.

He is also implying an extremely strong version of the doctrine of extra Ecclesiam nulla salussince he presumes that the infinite gain will necessarily be lost if you do not believe. The most reasonable reading of Catholic teaching is not consistent with this interpretation, which is a flaw in his argument, given that he is arguing specifically for people to become Catholics.

Despite these errors, however, there is a moral argument here which should be taken seriously, something that is rarely done.

Scripture on Sin and Death

According to the account of the fall in Genesis, one of the main effects of sin, perhaps the principal effect, was death. God assigns death as the reason that man should not eat of the tree of knowledge of good and evil: “You may freely eat of every tree of the garden; but of the tree of the knowledge of good and evil you shall not eat, for in the day that you eat of it you shall die.” After Adam’s sin, chapter 3 ends with man’s exclusion from the garden and therefore from the tree of life:

Then the Lord God said, “See, the man has become like one of us, knowing good and evil; and now, he might reach out his hand and take also from the tree of life, and eat, and live forever”— therefore the Lord God sent him forth from the garden of Eden, to till the ground from which he was taken. He drove out the man; and at the east of the garden of Eden he placed the cherubim, and a sword flaming and turning to guard the way to the tree of life.

If you take Scripture as a whole and ask, “What is it about?”, one reasonable answer would be, “Sin, death, and overcoming them.” Thus we have the account here where sin and death originate, basically at the very beginning of the Bible. And the last chapter of the last book of the Bible begins thus:

Then the angel showed me the river of the water of life, bright as crystal, flowing from the throne of God and of the Lamb through the middle of the street of the city. On either side of the river is the tree of life with its twelve kinds of fruit, producing its fruit each month; and the leaves of the tree are for the healing of the nations. Nothing accursed will be found there any more. But the throne of God and of the Lamb will be in it, and his servants will worship him; they will see his face, and his name will be on their foreheads. And there will be no more night; they need no light of lamp or sun, for the Lord God will be their light, and they will reign forever and ever.

The tree of life has ultimately been restored to mankind. St. John adds a final warning:

I warn everyone who hears the words of the prophecy of this book: if anyone adds to them, God will add to that person the plagues described in this book; if anyone takes away from the words of the book of this prophecy, God will take away that person’s share in the tree of life and in the holy city, which are described in this book.

The worst thing that can happen to you is to be deprived of a share in the tree of life.

It would be easy to show that this theme runs through Scripture from beginning to end. Thus for example Deuteronomy 30 concludes:

See, I have set before you today life and prosperity, death and adversity. If you obey the commandments of the Lord your God that I am commanding you today, by loving the Lord your God, walking in his ways, and observing his commandments, decrees, and ordinances, then you shall live and become numerous, and the Lord your God will bless you in the land that you are entering to possess. But if your heart turns away and you do not hear, but are led astray to bow down to other gods and serve them, I declare to you today that you shall perish; you shall not live long in the land that you are crossing the Jordan to enter and possess. I call heaven and earth to witness against you today that I have set before you life and death, blessings and curses. Choose life so that you and your descendants may live, loving the Lord your God, obeying him, and holding fast to him; for that means life to you and length of days, so that you may live in the land that the Lord swore to give to your ancestors, to Abraham, to Isaac, and to Jacob.

Here we see that fidelity to God leads to life, or to overcoming death, while infidelity leads to death. But this is a very imperfect overcoming of death, since at most one can “live long in the land,” and one still dies in the end. Consequently the book of Ecclesiastes complains,

Vanity of vanities, says the Teacher,
    vanity of vanities! All is vanity.
What do people gain from all the toil
    at which they toil under the sun?
A generation goes, and a generation comes,
    but the earth remains forever.

Later, he points out that doing good and doing evil appear to make no difference at all in the end:

Then I said to myself, “What happens to the fool will happen to me also; why then have I been so very wise?” And I said to myself that this also is vanity. For there is no enduring remembrance of the wise or of fools, seeing that in the days to come all will have been long forgotten. How can the wise die just like fools? So I hated life, because what is done under the sun was grievous to me; for all is vanity and a chasing after wind.

In the New Testament, St. Paul gives a theological account of overcoming death:

Therefore, just as sin came into the world through one man, and death came through sin, and so death spread to all because all have sinned— sin was indeed in the world before the law, but sin is not reckoned when there is no law. Yet death exercised dominion from Adam to Moses, even over those whose sins were not like the transgression of Adam, who is a type of the one who was to come.

But the free gift is not like the trespass. For if the many died through the one man’s trespass, much more surely have the grace of God and the free gift in the grace of the one man, Jesus Christ, abounded for the many. And the free gift is not like the effect of the one man’s sin. For the judgment following one trespass brought condemnation, but the free gift following many trespasses brings justification. If, because of the one man’s trespass, death exercised dominion through that one, much more surely will those who receive the abundance of grace and the free gift of righteousness exercise dominion in life through the one man, Jesus Christ.

Therefore just as one man’s trespass led to condemnation for all, so one man’s act of righteousness leads to justification and life for all. For just as by the one man’s disobedience the many were made sinners, so by the one man’s obedience the many will be made righteous. But law came in, with the result that the trespass multiplied; but where sin increased, grace abounded all the more, so that, just as sin exercised dominion in death, so grace might also exercise dominion through justification leading to eternal life through Jesus Christ our Lord.

One might understand many of these things in reference to a spiritual life, but in his first letter to the Corinthians, St. Paul makes clear that a true overcoming of death requires a bodily resurrection:

Now if Christ is proclaimed as raised from the dead, how can some of you say there is no resurrection of the dead? If there is no resurrection of the dead, then Christ has not been raised; and if Christ has not been raised, then our proclamation has been in vain and your faith has been in vain. We are even found to be misrepresenting God, because we testified of God that he raised Christ—whom he did not raise if it is true that the dead are not raised. For if the dead are not raised, then Christ has not been raised. If Christ has not been raised, your faith is futile and you are still in your sins. Then those also who have died in Christ have perished. If for this life only we have hoped in Christ, we are of all people most to be pitied.

But in fact Christ has been raised from the dead, the first fruits of those who have died. For since death came through a human being, the resurrection of the dead has also come through a human being; for as all die in Adam, so all will be made alive in Christ. But each in his own order: Christ the first fruits, then at his coming those who belong to Christ. Then comes the end, when he hands over the kingdom to God the Father, after he has destroyed every ruler and every authority and power. For he must reign until he has put all his enemies under his feet. The last enemy to be destroyed is death.

We could many more indications of the same thing. The Bible as a whole can be seen as an account of the origin of death and of how it is to be overcome.

All Call This God

When St. Thomas concludes his five ways with different variations on this statement, he likely does so for several reasons.

First, it seems that it was more or less true at the time. Certainly atheists existed, just as they do now, but they were rarer, and they probably mostly denied not only that “God exists,” but also the specific conclusions of St. Thomas’s arguments.

Second, he does so for convenience. Since he proceeds to make numerous arguments about the first principle to which he concludes in Question 2, the name “God” is a simple way to refer to that principle.

However, there are several things about this procedure which could cause confusion. This was possible at the time, and perhaps even more so now.

First of all, by drawing the conclusion that “God exists,” St. Thomas suggests not only the conclusions that he is actually drawing, but also conclusions such as “the first efficient cause is omniscient and omnipotent,” since such things are usually said of God. Using this terminology will inevitably affect the thought processes of students of theology in predictable ways. For example, since the student already believes that God is omniscient, an argument for this conclusion will almost certainly feel more reasonable, given that that it is phrased in terminology referring to “God,” than it would feel if put in more abstract terms.

Similarly, we saw earlier that Richard Dawkins’s objections are not to the idea of a first principle as such, but to the things which are typically attributed to that principle. This made clear communication between himself and the theologians with whom he spoke very difficult, because it was not clear exactly which questions were being addressed at any particular time.

In our own discussion, we have established various things about the cause, and others can be easily established. For example, we did not explicitly discuss whether the first cause is a body, but it can be easily shown that it is not. However, there are some things among the usual divine attributes which, at the least, cannot be easily proven, and which possibly cannot be proven at all. St. Thomas says something similar when he gives reasons for the necessity of revelation:

It was necessary for man’s salvation that there should be a knowledge revealed by God besides philosophical science built up by human reason. Firstly, indeed, because man is directed to God, as to an end that surpasses the grasp of his reason: “The eye hath not seen, O God, besides Thee, what things Thou hast prepared for them that wait for Thee” (Isaiah 64:4). But the end must first be known by men who are to direct their thoughts and actions to the end. Hence it was necessary for the salvation of man that certain truths which exceed human reason should be made known to him by divine revelation. Even as regards those truths about God which human reason could have discovered, it was necessary that man should be taught by a divine revelation; because the truth about God such as reason could discover, would only be known by a few, and that after a long time, and with the admixture of many errors. Whereas man’s whole salvation, which is in God, depends upon the knowledge of this truth. Therefore, in order that the salvation of men might be brought about more fitly and more surely, it was necessary that they should be taught divine truths by divine revelation. It was therefore necessary that besides philosophical science built up by reason, there should be a sacred science learned through revelation.

We have seen that the first cause has various attributes that make it similar to a mind, as for example that it acts for an end and is thus concerned about the good, and as said above, that it is not a body. However, the statement that it is a mind simply speaking is much harder to establish, if it is possible at all. For example, St. Thomas argues in Question 14 of the Prima Pars:

In God there exists the most perfect knowledge. To prove this, we must note that intelligent beings are distinguished from non-intelligent beings in that the latter possess only their own form; whereas the intelligent being is naturally adapted to have also the form of some other thing; for the idea of the thing known is in the knower. Hence it is manifest that the nature of a non-intelligent being is more contracted and limited; whereas the nature of intelligent beings has a greater amplitude and extension; therefore the Philosopher says (De Anima iii) that “the soul is in a sense all things.” Now the contraction of the form comes from the matter. Hence, as we have said above (Question 7, Article 1) forms according as they are the more immaterial, approach more nearly to a kind of infinity. Therefore it is clear that the immateriality of a thing is the reason why it is cognitive; and according to the mode of immateriality is the mode of knowledge. Hence it is said in De Anima ii that plants do not know, because they are wholly material. But sense is cognitive because it can receive images free from matter, and the intellect is still further cognitive, because it is more separated from matter and unmixed, as said in De Anima iii. Since therefore God is in the highest degree of immateriality as stated above (Question 7, Article 1), it follows that He occupies the highest place in knowledge.

In order for this to be conclusive, St. Thomas’s first statement has to be evident, since he does not argue for it here, although of course this does not imply that he could not possibly make an argument for it. The statement is that “intelligent beings are distinguished from non-intelligent beings in that the latter possess only their own form; whereas the intelligent being is naturally adapted to have also the form of some other thing; for the idea of the thing known is in the knower.”

It is evident that in the sense specified, intelligent beings can have the form of another. And it is also evident that non-intelligent beings do not have the form of another in precisely that sense. But it is not evident that they do not have it in any sense, and this is necessary for the argument to follow. For someone who supposes that the first cause is not a mind, does not assert that it does not have the forms of other things in any way. Instead, he asserts that it has the form of all things as the cause of all. Nor would he say that it has them in a lower way than intelligent beings do, but in a much higher way. Plotinus maintains a theology of this kind (Enneads 5.3.11):

Thus the Intellectual-Principle, in the act of knowing the Transcendent, is a manifold. It knows the Transcendent in very essence but, with all its effort to grasp that prior as a pure unity, it goes forth amassing successive impressions, so that, to it, the object becomes multiple: thus in its outgoing to its object it is not [fully realised] Intellectual-Principle; it is an eye that has not yet seen; in its return it is an eye possessed of the multiplicity which it has itself conferred: it sought something of which it found the vague presentment within itself; it returned with something else, the manifold quality with which it has of its own act invested the simplex. If it had not possessed a previous impression of the Transcendent, it could never have grasped it, but this impression, originally of unity, becomes an impression of multiplicity; and the Intellectual-Principle, in taking cognisance of that multiplicity, knows the Transcendent and so is realized as an eye possessed of its vision. It is now Intellectual-Principle since it actually holds its object, and holds it by the act of intellection: before, it was no more than a tendance, an eye blank of impression: it was in motion towards the transcendental; now that it has attained, it has become IntellectualPrinciple henceforth absorbed; in virtue of this intellection it holds the character of Intellectual-Principle, of Essential Existence and of Intellectual Act where, previously, not possessing the Intellectual Object, it was not Intellectual Perception, and, not yet having exercised the Intellectual Act, it was not Intellectual-Principle. The Principle before all these principles is no doubt the first principle of the universe, but not as immanent: immanence is not for primal sources but for engendering secondaries; that which stands as primal source of everything is not a thing but is distinct from all things: it is not, then, a member of the total but earlier than all, earlier, thus, than the Intellectual-Principle- which in fact envelops the entire train of things. Thus we come, once more, to a Being above the Intellectual-Principle and, since the sequent amounts to no less than the All, we recognise, again, a Being above the All. This assuredly cannot be one of the things to which it is prior. We may not call it “Intellect”; therefore, too, we may not call it “the Good,” if “the Good” is to be taken in the sense of some one member of the universe; if we mean that which precedes the universe of things, the name may be allowed. The Intellectual-Principle is established in multiplicity; its intellection, self-sprung though it be, is in the nature of something added to it [some accidental dualism] and makes it multiple: the utterly simplex, and therefore first of all beings, must, then, transcend the Intellectual-Principle; and, obviously, if this had intellection it would no longer transcend the Intellectual-Principle but be it, and at once be a multiple.

While Plotinus is not easy to understand, it can be seen from the last statements here that according to him, the first principle of things is not an intellect, but transcends intellect. This kind of theology is not evidently mistaken, and in fact Plotinus is making a fairly reasonable argument in favor of it.

One reason why it will be fairly difficult to settle such questions definitively, from the point of view of reason, is that we do not have a sufficiently precise understanding of the things involved. In the discussions here on this blog, I took care to form fairly precise definitions of terms such as distinction, whole and part, one and many, and so on. No one has given an equally clear definition of mind, and it is not clear that it is possible to do so. We know what it is like to have a mind, but that does not mean that we can define it. And in fact, as Dawkins and Plotinus suggest, some parts of that experience seem to be contrary to the idea of a first principle. From the point of view of Catholic theology, such difficulties may be resolved, or partly resolved, by the doctrine of the Trinity. But if it is necessary to bring in the Trinity to resolve the difficulties, this suggests that reason alone may not capable of such a resolution.

The name “God,” then, suggests many things which can be proven true of the first cause only with great difficulty, and possibly not at all. Consequently St. Thomas’s procedure has a significant risk of leading students to believe that they have a better understanding of theology than they actually have.

There is a second issue with his procedure, much more relevant in our times than in his. Saying that God exists is making a claim which is remote from the senses, both because God is not a body, and because “truly you are a God who hides himself,” as Isaiah says. Consequently, as was argued in the post on things remote from the senses, people will be more likely than usual to be influenced by motives other than truth in their beliefs regarding God.

One of those motives, as was also stated there, is the desire to be loyal to a group to which one belongs. And this particular motive will be especially likely in the case of God, because God is understood to be a person, and in most cases, he is understood to be a person who has a special relationship with a community that believes in him. Consequently belief in God is necessary for the sake of loyalty to God himself, since he is a person, and for the sake of loyalty to his community. This is likely the reason for the fact that historically apostasy was often punished with the death penalty, as for example in the Old Testament:

If anyone secretly entices you—even if it is your brother, your father’s son or your mother’s son, or your own son or daughter, or the wife you embrace, or your most intimate friend—saying, “Let us go worship other gods,” whom neither you nor your ancestors have known, any of the gods of the peoples that are around you, whether near you or far away from you, from one end of the earth to the other, you must not yield to or heed any such persons. Show them no pity or compassion and do not shield them. But you shall surely kill them; your own hand shall be first against them to execute them, and afterwards the hand of all the people.

The same thing is true in many Islamic societies even today. For the apostate is understood to be literally guilty of treason, in the political sense of the term.

Again, insofar as God is understood to be a person responsible for some community, that community will ordinarily accept some religion, namely the one which is believed to be approved by God. In this way saying that God exists is commonly understood not only to imply that he has certain divine attributes, but also that some particular religion is true. And believing that a religion is true is often something that is openly admitted to have motives other than truth, as when St. John says at the end of his Gospel, “But these are written so that you may come to believe that Jesus is the Messiah, the Son of God, and that through believing you may have life in his name.” Thus “life in his name”, which is a Christian life, one in a Christian community, is explicitly set down as a motive for belief here.

Since people easily notice the motivations of others, but suppose that they themselves are motivated by truth alone, and since such motivations are especially clear in the case of God, atheists sometimes suppose that they are concerned about truth while believers are not.

This is a mistake, however, since whether you assert or deny the existence of God, the statement remains equally distant from the senses, and human nature is the same in believers and in atheists. Consequently atheists are also likely to have various motives other than truth for their opinion, as for example in this particularly honest statement by Thomas Nagel in chapter 7 of his book The Last Word:

In speaking of the fear of religion, I don’t mean to refer to the entirely reasonable hostility toward certain established religions and religious institutions, in virtue of their objectionable moral doctrines, social policies, and political influence. Nor am I referring to the association of many religious beliefs with superstition and the acceptance of evident empirical falsehoods. I am talking about something much deeper— namely, the fear of religion itself. I speak from experience, being strongly subject to this fear myself: I want atheism to be true and am made uneasy by the fact that some of the most intelligent and well-informed people I know are religious believers. It isn’t just that I don’t believe in God and, naturally, hope that I’m right in my belief. It’s that I hope there is no God! I don’t want there to be a God; I don’t want the universe to be like that.

In particular, the semi-political orientation of religious belief implies that atheists will often have somewhat political motivations for their unbelief. This can be seen in accounts such as this one:

Two atheists – John Gray and Alain de Botton – and two agnostics – Nassim Nicholas Taleb and I – meet for dinner at a Greek restaurant in Bayswater, London. The talk is genial, friendly and then, suddenly, intense when neo-atheism comes up. Three of us, including both atheists, have suffered abuse at the hands of this cult. Only Taleb seems to have escaped unscathed and this, we conclude, must be because he can do maths and people are afraid of maths.

De Botton is the most recent and, consequently, the most shocked victim. He has just produced a book, Religion for Atheists: a Non-Believer’s Guide to the Uses of Religion, mildly suggesting that atheists like himself have much to learn from religion and that, in fact, religion is too important to be left to believers. He has also proposed an atheists’ temple, a place where non-believers can partake of the consolations of silence and meditation.

This has been enough to bring the full force of a neo-atheist fatwa crashing down on his head. The temple idea in particular made them reach for their best books of curses.

“I am rolling my eyes so hard that it hurts,” wrote the American biologist and neo-atheist blogger P Z Myers. “You may take a moment to retch. I hope you have buckets handy.” Myers has a vivid but limited prose palette.

There have been threats of violence. De Botton has been told he will be beaten up and his guts taken out of him. One email simply said, “You have betrayed Atheism. Go over to the other side and die.”

We noted the lack of clarity in the disagreement between Richard Dawkins and the theologians with whom he conversed at the Cambridge conference. I would suggest that this is vagueness of the third kind. Insofar as political and social allegiances are at stake in the assertion or denial that God exists, it is not necessary to be clear about the meaning of the claim. All that is necessary is to say that you are on one side or the other. Alain de Botton, by praising various aspects of religion, is admitting that he is not giving his full allegiance to the atheists, and thus they must condemn him as a traitor.

For the first reason, namely the fact that using the name “God” immediately suggests all of the usual divine attributes, it might be better to compose theological treatises without following St. Thomas’s procedure, even if this is somewhat less convenient. For the second reason, namely because of the motivations that are at stake in asserting or denying the existence of God, it might be better to adopt an approach which is more sensitive to context. If you are speaking with Richard Dawkins, it is perhaps better not to use the name of God at all, in order to ensure a common understanding, while if you are speaking with believers, there is much less of a problem with calling the first cause God.

Vagueness

Vagueness comes in various kinds. In the first place, everything that human beings think or say is vague in principle, because of the weakness of human understanding. Our understanding is to the fullness of reality “as the eyes of bats are to the blaze of day,” and this weakness of our understanding is found within everything we think or say. Discussing why there is something rather than nothing, we saw that there must be a being which is necessary in itself. But even after making this argument, this does not become evident to us in itself, and this is because we do not know the nature of being.

Considering whether names said of God belong primarily to him or to us, St. Thomas says,

I answer that, In names predicated of many in an analogical sense, all are predicated because they have reference to some one thing; and this one thing must be placed in the definition of them all. And since that expressed by the name is the definition, as the Philosopher says (Metaph. iv), such a name must be applied primarily to that which is put in the definition of such other things, and secondarily to these others according as they approach more or less to that first. Thus, for instance, “healthy” applied to animals comes into the definition of “healthy” applied to medicine, which is called healthy as being the cause of health in the animal; and also into the definition of “healthy” which is applied to urine, which is called healthy in so far as it is the sign of the animal’s health. Thus all names applied metaphorically to God, are applied to creatures primarily rather than to God, because when said of God they mean only similitudes to such creatures. For as “smiling” applied to a field means only that the field in the beauty of its flowering is like the beauty of the human smile by proportionate likeness, so the name of “lion” applied to God means only that God manifests strength in His works, as a lion in his. Thus it is clear that applied to God the signification of names can be defined only from what is said of creatures. But to other names not applied to God in a metaphorical sense, the same rule would apply if they were spoken of God as the cause only, as some have supposed. For when it is said, “God is good,” it would then only mean “God is the cause of the creature’s goodness”; thus the term good applied to God would included in its meaning the creature’s goodness. Hence “good” would apply primarily to creatures rather than to God. But as was shown above, these names are applied to God not as the cause only, but also essentially. For the words, “God is good,” or “wise,” signify not only that He is the cause of wisdom or goodness, but that these exist in Him in a more excellent way. Hence as regards what the name signifies, these names are applied primarily to God rather than to creatures, because these perfections flow from God to creatures; but as regards the imposition of the names, they are primarily applied by us to creatures which we know first. Hence they have a mode of signification which belongs to creatures, as said above.

St. Thomas does not say it explicitly, but the principle he presents here, “this one thing must be placed in the definition of them all,” implies that according to his argument, God is contained in the definitions of creatures. And in this way the being which is necessary in itself must be in the definition of every being. Consequently our failure to understand the nature of being in itself implies a failure to fully understand the nature of any being.

Second, someone can say something vague for the sake of accuracy, namely because he knows that his knowledge is vague, and he wishes to express his knowledge as it is, rather than claiming to know more than he does. Freeman Dyson and others say that “it is better to be wrong than vague,” but they are, strictly speaking, wrong about this. It is better to be vague and right, rather than clear and distinct, but wrong.

Third, someone can say something vague because he does not primarily care about whether or not it is true, but about something else. In this case it may be left vague because there is no need for the effort that it would take to make it clear, since the person’s purposes can be achieved without that effort, or it may be left vague because those purposes are achieved even better when it remains vague. Thus there is a story about Hegel, which I was unable to track down while writing this post, which says that he explained to someone that the Phenomenology of Spirit had to be extremely difficult to understand, in order to ensure that Hegel would become famous. I do not find the story particularly credible, but I do find the motive credible.

I said “strictly speaking” above in discussing people who say that it is better to be wrong than vague, because in many cases such people are actually opposing the third kind of vagueness, and are simply intending to say that it is better to care about the truth but to make a mistake, than not to care about the truth at all, and therefore not to bother to say something which could turn out to be wrong.

Richard Dawkins and the Simplicity of God

Richard Dawkins concludes chapter 3 of his book The God Delusion with the following claim:

There is a much more powerful argument, which does not depend upon subjective judgement, and it is the argument from improbability. It really does transport us dramatically away from 50 per cent agnosticism, far towards the extreme of theism in the view of many theists, far towards the extreme of atheism in my view. I have alluded to it several times already. The whole argument turns on the familiar question ‘Who made God?’, which most thinking people discover for themselves. A designer God cannot be used to explain organized complexity because any God capable of designing anything would have to be complex enough to demand the same kind of explanation in his own right. God presents an infinite regress from which he cannot help us to escape. This argument, as I shall show in the next chapter, demonstrates that God, though not technically disprovable, is very very improbable indeed.

Throughout chapter 4, which is entitled, “Why There Almost Certainly is No God,” he struggles with the view of the theologians that God is simple, as opposed to his own idea that God, if he exists, must be extremely complicated. He begins the chapter:

The argument from improbability is the big one. In the traditional guise of the argument from design, it is easily today’s most popular argument offered in favour of the existence of God and it is seen, by an amazingly large number of theists, as completely and utterly convincing. It is indeed a very strong and, I suspect, unanswerable argument— but in precisely the opposite direction from the theist’s intention. The argument from improbability, properly deployed, comes close to proving that God does not exist. My name for the statistical demonstration that God almost certainly does not exist is the Ultimate Boeing 747 gambit.

The name comes from Fred Hoyle’s amusing image of the Boeing 747 and the scrapyard. I am not sure whether Hoyle ever wrote it down himself, but it was attributed to him by his close colleague Chandra Wickramasinghe and is presumably authentic. Hoyle said that the probability of life originating on Earth is no greater than the chance that a hurricane, sweeping through a scrapyard, would have the luck to assemble a Boeing 747. Others have borrowed the metaphor to refer to the later evolution of complex living bodies, where it has a spurious plausibility. The odds against assembling a fully functioning horse, beetle or ostrich by randomly shuffling its parts are up there in 747 territory. This, in a nutshell, is the creationist’s favourite argument— an argument that could be made only by somebody who doesn’t understand the first thing about natural selection: somebody who thinks natural selection is a theory of chance whereas— in the relevant sense of chance— it is the opposite.

There follows a discussion of evolution, creation, and intelligent design. He concludes the section by stating,

A deep understanding of Darwinism teaches us to be wary of the easy assumption that design is the only alternative to chance, and teaches us to seek out graded ramps of slowly increasing complexity. Before Darwin, philosophers such as Hume understood that the improbability of life did not mean it had to be designed, but they couldn’t imagine the alternative. After Darwin, we all should feel, deep in our bones, suspicious of the very idea of design. The illusion of design is a trap that has caught us before, and Darwin should have immunized us by raising our consciousness. Would that he had succeeded with all of us.

The argument here is basically that evolutionary theory has been fairly successful in explaining living things as having resulted from a slow and detailed process in which they became increasingly complex through natural causes. Consequently Dawkins is optimistic that this manner of explanation can in principle be applied to everything else. In fact, according to him, no one has ever offered any other plausible explanation of things:

Turning Watchtower’s page, we find the wonderful plant known as Dutchman’s Pipe (Aristolochia trilobata), all of whose parts seem elegantly designed to trap insects, cover them with pollen and send them on their way to another Dutchman’s Pipe. The intricate elegance of the flower moves Watchtower to ask: ‘Did all of this happen by chance? Or did it happen by intelligent design?’ Once again, no of course it didn’t happen by chance. Once again, intelligent design is not the proper alternative to chance. Natural selection is not only a parsimonious, plausible and elegant solution; it is the only workable alternative to chance that has ever been suggested. Intelligent design suffers from exactly the same objection as chance. It is simply not a plausible solution to the riddle of statistical improbability. And the higher the improbability, the more implausible intelligent design becomes. Seen clearly, intelligent design will turn out to be a redoubling of the problem. Once again, this is because the designer himself (/ herself/ itself) immediately raises the bigger problem of his own origin. Any entity capable of intelligently designing something as improbable as a Dutchman’s Pipe (or a universe) would have to be even more improbable than a Dutchman’s Pipe. Far from terminating the vicious regress, God aggravates it with a vengeance.

He says something similar while discussing multiverse hypotheses:

It is tempting to think (and many have succumbed) that to postulate a plethora of universes is a profligate luxury which should not be allowed. If we are going to permit the extravagance of a multiverse, so the argument runs, we might as well be hung for a sheep as a lamb and allow a God. Aren’t they both equally unparsimonious ad hoc hypotheses, and equally unsatisfactory? People who think that have not had their consciousness raised by natural selection. The key difference between the genuinely extravagant God hypothesis and the apparently extravagant multiverse hypothesis is one of statistical improbability. The multiverse, for all that it is extravagant, is simple. God, or any intelligent, decision-taking, calculating agent, would have to be highly improbable in the very same statistical sense as the entities he is supposed to explain. The multiverse may seem extravagant in sheer number of universes. But if each one of those universes is simple in its fundamental laws, we are still not postulating anything highly improbable. The very opposite has to be said of any kind of intelligence.

Beginning to address the response of theologians, he says:

But what attempts have theists made to reply? How do they cope with the argument that any God capable of designing a universe, carefully and foresightfully tuned to lead to our evolution, must be a supremely complex and improbable entity who needs an even bigger explanation than the one he is supposed to provide? The theologian Richard Swinburne, as we have learned to expect, thinks he has an answer to this problem, and he expounds it in his book Is There a God?. He begins by showing that his heart is in the right place by convincingly demonstrating why we should always prefer the simplest hypothesis that fits the facts. Science explains complex things in terms of the interactions of simpler things, ultimately the interactions of fundamental particles. I (and I dare say you) think it a beautifully simple idea that all things are made of fundamental particles which, although exceedingly numerous, are drawn from a small, finite set of types of particle. If we are sceptical, it is likely to be because we think the idea too simple. But for Swinburne it is not simple at all, quite the reverse. Given that the number of particles of any one type, say electrons, is large, Swinburne thinks it too much of a coincidence that so many should have the same properties. One electron, he could stomach. But billions and billions of electrons, all with the same properties, that is what really excites his incredulity. For him it would be simpler, more natural, less demanding of explanation, if all electrons were different from each other. Worse, no one electron should naturally retain its properties for more than an instant at a time; each should change capriciously, haphazardly and fleetingly from moment to moment. That is Swinburne’s view of the simple, native state of affairs. Anything more uniform (what you or I would call more simple) requires a special explanation. ‘It is only because electrons and bits of copper and all other material objects have the same powers in the twentieth century as they did in the nineteenth century that things are as they are now.’ Enter God. God comes to the rescue by deliberately and continuously sustaining the properties of all those billions of electrons and bits of copper, and neutralizing their otherwise ingrained inclination to wild and erratic fluctuation. That is why when you’ve seen one electron you’ve seen them all; that is why bits of copper all behave like bits of copper, and that is why each electron and each bit of copper stays the same as itself from microsecond to microsecond and from century to century. It is because God constantly keeps a finger on each and every particle, curbing its reckless excesses and whipping it into line with its colleagues to keep them all the same. But how can Swinburne possibly maintain that this hypothesis of God simultaneously keeping a gazillion fingers on wayward electrons is a simple hypothesis? It is, of course, precisely the opposite of simple. Swinburne pulls off the trick to his own satisfaction by a breathtaking piece of intellectual chutzpah. He asserts, without justification, that God is only a single substance. What brilliant economy of explanatory causes, compared with all those gigazillions of independent electrons all just happening to be the same!

Note that Richard Swinburne is not the only one who thinks it too much of a coincidence that electrons are not all different and randomly changing their properties from moment to moment. David Hume, praised by Dawkins, believes the same thing. In any case, in terms of the argument here, Swinburne is exactly right. There is only one first cause, and it does indeed explain why all electrons behave in the same way. Some such thing would have to be the case in any event, but the only way the activity of electrons (or of anything else) can be understood is in relation to a final cause, the formal aspect of an efficient cause.

Dawkins however objects that such an explanation is not simple at all, but supremely complex:

Swinburne generously concedes that God cannot accomplish feats that are logically impossible, and one feels grateful for this forbearance. Having said that, there is no limit to the explanatory purposes to which God’s infinite power is put. Is science having a little difficulty explaining X? No problem. Don’t give X another glance. God’s infinite power is effortlessly wheeled in to explain X (along with everything else), and it is always a supremely simple explanation because, after all, there is only one God. What could be simpler than that?

Well, actually, almost everything. A God capable of continuously monitoring and controlling the individual status of every particle in the universe cannot be simple. His existence is going to need a mammoth explanation in its own right. Worse (from the point of view of simplicity), other corners of God’s giant consciousness are simultaneously preoccupied with the doings and emotions and prayers of every single human being— and whatever intelligent aliens there might be on other planets in this and 100 billion other galaxies. He even, according to Swinburne, has to decide continuously not to intervene miraculously to save us when we get cancer. That would never do, for, ‘If God answered most prayers for a relative to recover from cancer, then cancer would no longer be a problem for humans to solve.’ And then what would we find to do with our time?

Outraged by this idea of simplicity, Dawkins considers another example of this position:

Not all theologians go as far as Swinburne. Nevertheless, the remarkable suggestion that the God Hypothesis is simple can be found in other modern theological writings. Keith Ward, then Regius Professor of Divinity at Oxford, was very clear on the matter in his 1996 book God, Chance and Necessity: “As a matter of fact, the theist would claim that God is a very elegant, economical and fruitful explanation for the existence of the universe. It is economical because it attributes the existence and nature of absolutely everything in the universe to just one being, an ultimate cause which assigns a reason for the existence of everything, including itself. It is elegant because from one key idea— the idea of the most perfect possible being— the whole nature of God and the existence of the universe can be intelligibly explicated.”

Like Swinburne, Ward mistakes what it means to explain something, and he also seems not to understand what it means to say of something that it is simple. I am not clear whether Ward really thinks God is simple, or whether the above passage represented a temporary ‘for the sake of argument’ exercise. Sir John Polkinghorne, in Science and Christian Belief, quotes Ward’s earlier criticism of the thought of Thomas Aquinas: ‘Its basic error is in supposing that God is logically simple— simple not just in the sense that his being is indivisible, but in the much stronger sense that what is true of any part of God is true of the whole. It is quite coherent, however, to suppose that God, while indivisible, is internally complex.’ Ward gets it right here.

Important things here are the statement that “Ward mistakes what it means to explain something,” and that “he also seems not to understand what it means to say of something that it is simple.” And lastly there is Dawkins’s attempt at doing theology when he says that “Ward gets it right here.” I will return to this shortly. In any case, Dawkins continues by recounting his experiences at a conference at Cambridge:

At a recent Cambridge conference on science and religion, where I put forward the argument I am here calling the Ultimate 747 argument, I encountered what, to say the least, was a cordial failure to achieve a meeting of minds on the question of God’s simplicity. The experience was a revealing one, and I’d like to share it.

After some discussion of the background of the conference, Dawkins explains his experience with his argument against the existence of God:

For better or worse, I attended two days at the Cambridge conference, giving a talk of my own and taking part in the discussion of several other talks. I challenged the theologians to answer the point that a God capable of designing a universe, or anything else, would have to be complex and statistically improbable. The strongest response I heard was that I was brutally foisting a scientific epistemology upon an unwilling theology. Theologians had always defined God as simple. Who was I, a scientist, to dictate to theologians that their God had to be complex? Scientific arguments, such as those I was accustomed to deploying in my own field, were inappropriate since theologians had always maintained that God lay outside science. I did not gain the impression that the theologians who mounted this evasive defense were being willfully dishonest. I think they were sincere. Nevertheless, I was irresistibly reminded of Peter Medawar’s comment on Father Teilhard de Chardin’s The Phenomenon of Man, in the course of what is possibly the greatest negative book review of all time: ‘its author can be excused of dishonesty only on the grounds that before deceiving others he has taken great pains to deceive himself’. The theologians of my Cambridge encounter were defining themselves into an epistemological Safe Zone where rational argument could not reach them because they had declared by fiat that it could not. Who was I to say that rational argument was the only admissible kind of argument? There are other ways of knowing besides the scientific, and it is one of these other ways of knowing that must be deployed to know God.

There are basically three possibilities here. Either Dawkins did not understand the theologians, the theologians did not understand Dawkins, or the theologians did not understand their theology. The third possibility is very plausible given the criticism of St. Thomas by Keith Ward and Sir John Polkinghorne mentioned by Dawkins earlier. Most likely all three are the case.

Dawkins continues to what perhaps is the heart of the issue between himself and the theologians:

Time and again, my theologian friends returned to the point that there had to be a reason why there is something rather than nothing. There must have been a first cause of everything, and we might as well give it the name God. Yes, I said, but it must have been simple and therefore, whatever else we call it, God is not an appropriate name (unless we very explicitly divest it of all the baggage that the word ‘God’ carries in the minds of most religious believers). The first cause that we seek must have been the simple basis for a self-bootstrapping crane which eventually raised the world as we know it into its present complex existence. To suggest that the original prime mover was complicated enough to indulge in intelligent design, to say nothing of mindreading millions of humans simultaneously, is tantamount to dealing yourself a perfect hand at bridge. Look around at the world of life, at the Amazon rainforest with its rich interlacement of lianas, bromeliads, roots and flying buttresses; its army ants and its jaguars, its tapirs and peccaries, treefrogs and parrots. What you are looking at is the statistical equivalent of a perfect hand of cards (think of all the other ways you could permute the parts, none of which would work)— except that we know how it came about: by the gradualistic crane of natural selection. It is not just scientists who revolt at mute acceptance of such improbability arising spontaneously; common sense baulks too. To suggest that the first cause, the great unknown which is responsible for something existing rather than nothing, is a being capable of designing the universe and of talking to a million people simultaneously, is a total abdication of the responsibility to find an explanation. It is a dreadful exhibition of self-indulgent, thought-denying skyhookery.

I am not advocating some sort of narrowly scientistic way of thinking. But the very least that any honest quest for truth must have in setting out to explain such monstrosities of improbability as a rainforest, a coral reef, or a universe is a crane and not a skyhook. The crane doesn’t have to be natural selection. Admittedly, nobody has ever thought of a better one. But there could be others yet to be discovered. Maybe the ‘inflation’ that physicists postulate as occupying some fraction of the first yoctosecond of the universe’s existence will turn out, when it is better understood, to be a cosmological crane to stand alongside Darwin’s biological one. Or maybe the elusive crane that cosmologists seek will be a version of Darwin’s idea itself: either Smolin’s model or something similar. Or maybe it will be the multiverse plus anthropic principle espoused by Martin Rees and others. It may even be a superhuman designer— but, if so, it will most certainly not be a designer who just popped into existence, or who always existed. If (which I don’t believe for a moment) our universe was designed, and a fortiori if the designer reads our thoughts and hands out omniscient advice, forgiveness and redemption, the designer himself must be the end product of some kind of cumulative escalator or crane, perhaps a version of Darwinism in another universe.

We can see here what Dawkins means when he says that Ward mistakes what it means to explain something. “The very least that any honest quest for truth must have in setting out to explain such monstrosities of improbability as a rainforest, a coral reef, or a universe is a crane and not a skyhook.” Otherwise, according to Dawkins, you haven’t explained anything. And what does he mean by a crane rather than a skyhook? A skyhook, identified with what he considers a complex God, would be something that already has such complexity within itself. A crane is something simple, and simple in the sense intended by Dawkins. Explanation, therefore, according to Dawkins, requires an original simplicity, this being understood as he understands it.

In reality, attempting to explain things is to look for their causes. And correspondingly, there are different kinds of explanation and different kinds of causes. But Dawkins is identifying certain types of causality and explanation in particular, namely those that are found in Darwinian evolution. It is likely that he is doing this because he feels satisfied by such explanations, and therefore tends to think that other accounts are not real explanations, since they leave him dissatisfied. In reality, however, there are various types of explanation and thus various types of cause.

What did Dawkins mean when he said that Ward “seems not to understand what it means to say of something that it is simple”? And why does he say that “Ward gets it right here” when Ward opposes St. Thomas on the understanding of the simplicity of God?

St. Thomas asserts that God is simple in the sense that he is not composed of parts. Given his supposed activities, Dawkins considers this absurd, and thus he says that Ward gets it right when he admits that God is “internally complex.” In other words, despite believing that God does not exist, Dawkins is making the theological claim that God cannot be simple in the sense asserted by St. Thomas, but must be composed of parts.

Why does he say this? Why doesn’t he think that since he doesn’t believe in God, this is none of his concern and he should just leave it to the theologians as they apparently told him?

Dawkins is reasoning from the supposed activities of God to his nature. God is supposed to be “a being capable of designing the universe and of talking to a million people simultaneously.” Designing the universe seems to involve planning, which involves a plan, which has various parts. Talking to people seems to involve words and sentences, which are distinct from one another, and also thoughts, which seem to be distinct insofar as they are thoughts about diverse things. In other words, it is obvious that when we design and plan things, and when we speak with people, we are capable of doing so because we consist of parts. Consequently if God can do these things, he must have parts as well.

In fact, in terms of the argument for a first cause, Dawkins nearly admits that he cannot refute the argument:

Yes, I said, but it must have been simple and therefore, whatever else we call it, God is not an appropriate name (unless we very explicitly divest it of all the baggage that the word ‘God’ carries in the minds of most religious believers). The first cause that we seek must have been the simple basis for a self-bootstrapping crane which eventually raised the world as we know it into its present complex existence.

His problem is not the argument for a first cause, therefore, but the things that are typically said of that cause, and he objects to these things because they seem to him to imply that the first cause is not simple.

We already saw that Dawkins objects to the idea that God has no parts. But is this his real objection? Simply that he thinks that the first cause must be partless, and therefore that it cannot do things like designing, planning, and talking that seem to involve parts?

This is not his real objection, whether or not he understands this fact himself. For the correct response to this objection, from a theological point of view, is exactly that God is simple in the sense defined by St. Thomas. And he does not perform the activities mentioned by Dawkins in the way that he supposes. God does not pass from one thought to another. He does not think of one part of a plan, and then another. If he speaks, he does not go from word to word in his mind. To the extent that parts are implied by such things, they are to be denied of God, and the theologian only believes that they exist in God by analogy.

But Dawkins will still have a problem with this response, if it implies that God still performs those activities, even in an analogous way. If for example God ever directly produces a voice in my mind telling me to do something, Dawkins will have a problem with this, even if I say that God does not have parts. Only the voice has parts. Dawkins will still insist that this explanation is “not simple.”

And why not? Because it is not the kind of explanation that is pleasing to him, where complexity comes from simplicity, not just in the sense that a partless being causes beings with parts, but in the sense that mathematical complexity is caused by mathematical simplicity. This is ultimately what he means when he talks about a crane rather than a skyhook. If we give a mathematical explanation of the voice in my head, it will be a mathematically complex one, and if the only cause is God, it may not be clearly possible to reduce that mathematical complexity to something mathematically simple. Evolutionary explanations, on the other hand, allow something mathematically complex to be explained in terms of laws which are mathematically simple. And this is the only kind of explanation that Dawkins considers reasonable, satisfying, or true.

We can divide all of this discussion into various questions:

  1. Is there a first cause at all? We have established that there is, and Dawkins does not deny it.
  2. Does the first cause have parts? We have established that it does not, and in principle Dawkins does not assert that it does. To some extent he could be taken to be conceding that it does not, since his objection is that if God exists, he has many parts and is extremely complicated, and therefore cannot be the first cause.
  3. Does the first cause produce mathematically complex things from mathematically simple ones? It is certain that it does in general. Our discussions of mathematical laws in nature and of the order of the world are both relevant, as well as the issue of simplicity and probability. Dawkins agrees with this, and in fact his position is that this is the only way that mathematical complexity is ever produced.
  4. Does the first cause ever produce mathematical complexity without doing this through mathematically simple things? Nothing in our discussions establishes that such a thing is impossible, nor that it is actual. Dawkins denies that this is possible or at least that it is reasonable, but he does not seem to have a particular argument for this other than the fact that such a claim leaves him feeling dissatisfied, feeling that something has been left unexplained which should be explained. But as we have seen, this is not a question about the nature of explanation in general, but the kind of explanations which are pleasing to him.
  5. Is a first cause which does not directly produce such mathematical complexity worthy of being called God? This is mainly a question about the meaning of words, although there also could be questions about what that being would be like. Dawkins denies that this is a reasonable way to use the word “God”, because, according to him, God is always understood to intervene directly in the world, causing things which are meaningful on a human level and consequently which are already mathematically complex.
  6. Do God’s activities imply that he has parts? Dawkins assumes that they do, and apparently the theologians at the conference that he attended were unable to explain otherwise.

It is problematic to discuss the question of “whether God exists” with someone like Richard Dawkins because these separate questions end up being mixed together. Dawkins gives a negative response to question 5, but if this is in fact a reasonable way to use the name “God,” then Dawkins should not deny that God exists, even if the rest of his position is correct. Likewise, Dawkins assumes an affirmative answer to question 6, and therefore concludes that if the answer to question 2 is negative, God cannot be the first cause, and therefore that if he exists he must be caused. Discussing these questions with him separately would possibly be much more productive.

The First Cause and The World

Bertrand Russell, in a passage quoted earlier, affirms that if there is a first cause, it might as well be the world:

If everything must have a cause, then God must have a cause. If there can be anything without a cause, it may just as well be the world as God, so that there cannot be any validity in that argument.

As we saw at the time, Russell misunderstands the argument, since he supposes that it depends on saying that “everything has a cause.” But in any case, by the argument regarding the first cause and distinction, there is only one first cause, and that cause is not the world. It is not the world because the world has things in it which are distinct from one another, and the first cause cannot have anything within it distinct from anything else within it, since otherwise at least one of the two distinct things would have a cause. Instead, the first cause is absolutely simple. St. Thomas makes this argument, saying, “Every composite has a cause, for things in themselves different cannot unite unless something causes them to unite. But God is uncaused, as shown above, since He is the first efficient cause.”

There are two things that should be noted about this argument relative to Catholic theology. First, as was already stated, the first cause at which this argument arrives would be the person of the Father; otherwise it would be wrong to say that there is nothing in the first cause distinct from anything else within it.

Second, this argument does not prevent one from saying that the first cause is both a part of the world, and the cause of the whole world. My discussion of whole and part does not prevent any two distinct things from being taken as parts of a whole, as long as we can think of something that would include them both. And in the case under consideration, we can think of such a thing: “reality”, which which is intended to include both causes and effects. Thus the first cause is a part of reality. Nonetheless, it is also the cause of reality as a whole. This is not hindered by the fact that nothing can be the cause of itself, since a part is not the whole, and the whole is not the part. Rather, if we think of it in this particular way, the first cause causes the whole of reality by causing other things distinct from itself, and by causing them to be also in some way united with itself, in other words, by causing them to be part of the whole of reality. In a similar way the Council of Constantinople stated that “the Father is the source of the whole Trinity.”

It is not customary in Catholic theology to say that God is a part of anything else. But in order to avoid saying this, one would deal with the issue of “reality as a whole” by distinguishing between real and conceptual wholes, and saying that “reality as a whole” is a conceptual whole rather than a real whole.

I have not made such a distinction mainly because it is not clear to me what such a distinction would mean. I pointed out that distinction always involves something conceptual, but we can distinguish between real distinctions and conceptual distinctions insofar as it is one thing to say, “this thing is not that thing,” and another to say, “the concept of this is not the concept of that.” The idea of distinction leads to the ideas of parts and wholes, and the distinction between real distinctions and conceptual distinctions would allows us to distinguish between “real wholes” and “conceptual wholes” if we intended to say that a conceptual whole is something composed of parts which are conceptually distinct but not really distinct. But this does not apply to the case of the first cause and its effects, since these are really distinct from one another. Thus it is not clear to me what one would be intending to say if one asserted that “reality as a whole” is only a conceptual whole.

In any case, nothing opposed to Catholic doctrine follows of necessity from the argument. If God is a part of reality as a whole, it does not follow that reality is better than God. It does not follow that God created of necessity, nor that anything other than God is necessary or uncaused, and so on.

The Sun and The Bat

Aristotle begins Book II of the Metaphysics in this way:

The investigation of the truth is in one way hard, in another easy. An indication of this is found in the fact that no one is able to attain the truth adequately, while, on the other hand, we do not collectively fail, but every one says something true about the nature of things, and while individually we contribute little or nothing to the truth, by the union of all a considerable amount is amassed. Therefore, since the truth seems to be like the proverbial door, which no one can fail to hit, in this respect it must be easy, but the fact that we can have a whole truth and not the particular part we aim at shows the difficulty of it.

Perhaps, too, as difficulties are of two kinds, the cause of the present difficulty is not in the facts but in us. For as the eyes of bats are to the blaze of day, so is the reason in our soul to the things which are by nature most evident of all.

I have a slight feeling of uncertainty about the argument I made yesterday. I do not see any flaw in the argument, and it seems to me that it works. But the uncertain feeling remains. This suggests that “the cause of the present difficulty is not in the facts but in us,” and that the reason for the feeling is that “as the eyes of bats are to the blaze of day, so is the reason in our soul to the things which are by nature most evident of all.”

Should I dismiss this feeling? One could argue that such feelings result from the imagination or from custom, so that if we do not see any flaw in the argument, we should just try to get over such feelings.

I think this would be a mistake, if the meaning is that one should try to get over it without making some other kind of progress first. In Plato’s Meno, Socrates talks about the fact that someone just learning something does not yet possess it in an entirely clear way:

Soc. And that is the line which the learned call the diagonal. And if this is the proper name, then you, Meno’s slave, are prepared to affirm that the double space is the square of the diagonal?

Boy. Certainly, Socrates.

Soc. What do you say of him, Meno? Were not all these answers given out of his own head?

Men. Yes, they were all his own.

Soc. And yet, as we were just now saying, he did not know?

Men. True.

Soc. But still he had in him those notions of his-had he not?

Men. Yes.

Soc. Then he who does not know may still have true notions of that which he does not know?

Men. He has.

Soc. And at present these notions have just been stirred up in him, as in a dream; but if he were frequently asked the same questions, in different forms, he would know as well as any one at last?

Men. I dare say.

The boy at first possesses the idea that the double square is the square on the diagonal as something which has “just been stirred up in him, as in a dream,” rather than in a clear way. And this is appropriate, because as we seen earlier, people can make mistakes even in mathematics. One reason that the boy needs to be “frequently asked the same questions, in different forms,” is that by doing this he will become much more sure that he has not been misled by the argument.

There is at least one objective sign that there may be a flaw in my argument from yesterday, namely the fact that it does not appear to be an argument that anyone has made previously, at least as far as I know. It may be implicit both in the theology of St. Thomas and in that of Hans Urs von Balthasar, in the discussion of the distinction between the persons of the Trinity as a source for the distinction of creation from Creator, but it does not appear to have been made explicitly. In general I think it is a mistake to ignore such a feeling of uncertainty, just as it would be a mistake for the boy to ignore the dreamlike character of his knowledge. That feeling means something. It may not mean anything about the facts, as Aristotle says, but it means that there is something lacking in my understanding. And if I manage to banish the feeling, to “just get over it,” that does not necessarily mean that I have actually cured that lack in my understanding. It may be present just as much as before.

This is similar to the situation where someone observes some evidence against what he currently believes to be true. His “gut feeling” will tell him that it is something that stands against what he believes, but he may attempt to remove that feeling by fitting it into the context of his belief. However, even if his explanation is correct, even if his estimate of the prior probability is mistaken, his original feeling was not meaningless. In almost every case, it really was evidence against his position.

When we have a conclusion and we want to make an argument for it, whether that is because we suspect that the conclusion is true and want to settle the matter, or because we simply want the conclusion to be true, there is a danger of claiming to know for sure that an argument works without really understanding it. And this danger seems to be especially serious when one is speaking about God or the first principles of things, because they are like the blaze of day compared to the eyes of bats. For example, I commented on a recent post by James Chastek because it appears to me that he is trying to take a shortcut, that he is trying to avoid the hard work of actually understanding. I have not yet continued that discussion because I suspect that neither he nor I actually understand the argument that he is making, and I would prefer to understand it better before continuing the discussion.

Do not ignore such vague feelings. Do not dismiss them as “just the imagination,” do not try to “just get over it.” They are telling you something, and often something important.

First Cause

In Why I Am Not a Christian, Bertrand Russell says of the argument for a first cause,

Perhaps the simplest and easiest to understand is the argument of the First Cause. It is maintained that everything we see in this world has a cause, and as you go back in the chain of causes further and further you must come to a First Cause, and to that First Cause you give the name of God. That argument, I suppose, does not carry very much weight nowadays, because, in the first place, cause is not quite what it used to be. The philosophers and the men of science have got going on cause, and it has not anything like the vitality it used to have; but, apart from that, you can see that the argument that there must be a First Cause is one that cannot have any validity. I may say that when I was a young man and was debating these questions very seriously in my mind, I for a long time accepted the argument of the First Cause, until one day, at the age of eighteen, I read John Stuart Mill’s Autobiography, and I there found this sentence: “My father taught me that the question ‘Who made me?’ cannot be answered, since it immediately suggests the further question `Who made God?'” That very simple sentence showed me, as I still think, the fallacy in the argument of the First Cause. If everything must have a cause, then God must have a cause. If there can be anything without a cause, it may just as well be the world as God, so that there cannot be any validity in that argument. It is exactly of the same nature as the Hindu’s view, that the world rested upon an elephant and the elephant rested upon a tortoise; and when they said, “How about the tortoise?” the Indian said, “Suppose we change the subject.” The argument is really no better than that. There is no reason why the world could not have come into being without a cause; nor, on the other hand, is there any reason why it should not have always existed. There is no reason to suppose that the world had a beginning at all. The idea that things must have a beginning is really due to the poverty of our imagination. Therefore, perhaps, I need not waste any more time upon the argument about the First Cause.

There are two things going on here. The less important thing is Russell’s understanding of the first cause argument and his response to it. According to him, the argument begins with “Everything must have a cause,” and ends with the conclusion that there is a first uncaused cause which is called God. As he says, such an argument does not make sense, because its conclusion would contradict its premise. But it is unlikely that anyone ever argued for the existence of God in such a way. Consider St. Thomas’s actual first cause argument:

The second way is from the nature of the efficient cause. In the world of sense we find there is an order of efficient causes. There is no case known (neither is it, indeed, possible) in which a thing is found to be the efficient cause of itself; for so it would be prior to itself, which is impossible. Now in efficient causes it is not possible to go on to infinity, because in all efficient causes following in order, the first is the cause of the intermediate cause, and the intermediate is the cause of the ultimate cause, whether the intermediate cause be several, or only one. Now to take away the cause is to take away the effect. Therefore, if there be no first cause among efficient causes, there will be no ultimate, nor any intermediate cause. But if in efficient causes it is possible to go on to infinity, there will be no first efficient cause, neither will there be an ultimate effect, nor any intermediate efficient causes; all of which is plainly false. Therefore it is necessary to admit a first efficient cause, to which everyone gives the name of God.

Note that St. Thomas does not say that “everything has a cause.” He says instead, “In the world of sense we find there is an order of efficient causes.” This is to say that some things are efficient causes of other things, not that everything has a cause.

Russell also confuses the order of causality with the order of time. These coincide to some extent at times, but they are not the same thing, and to say that the world has a cause is not the same as to say that it had a beginning in time.

It is reasonable to suppose that Russell is in fact speaking specifically about St. Thomas’s argument, since he says “and to that First Cause you give the name of God,” which appears to be taken from St. Thomas’s text, “Therefore it is necessary to admit a first efficient cause, to which everyone gives the name of God.” This suggests that Russell is being misled here by this conclusion to St. Thomas’s argument. He assumes that since it concludes to the existence of “God”, that the argument is supposed to prove that a first cause has the usual properties that we normally attribute to God. In reality, however, St. Thomas was not drawing any conclusion here beyond the fact that there is at least one uncaused cause. When Russell says, “If there can be anything without a cause, it may just as well be the world as God, so that there cannot be any validity in that argument,” this is not even opposed to St. Thomas’s argument. The argument does not purport to prove that the world is not a first cause, but simply that there is at least one such cause, whether it be the world or something else.

But Russell’s misunderstanding of the first cause argument is not the most important thing in his discussion of the argument. More important is his somewhat cynical and insinuating statement, “That argument, I suppose, does not carry very much weight nowadays, because, in the first place, cause is not quite what it used to be. The philosophers and the men of science have got going on cause, and it has not anything like the vitality it used to have.”

The implication here is more important because it is likely to be Russell’s real reason for rejecting the first cause argument, or at least for the fact that he does not think carefully enough about the argument to avoid the errors mentioned above. And that implication is that there is no such thing as a cause. There is no first cause, because there are no causes at all.

As I have defined it, however, there will always be a cause whenever one thing is from another in such a way that understanding this relationship gives an explanation for the thing which is from another. This is true even when it is not a complete explanation, and this is precisely why there is more than one kind of cause; because things come from other things in various ways, and there are various kinds of explanation.

In order to deny the existence of causes, therefore, Russell would either have to say that nothing is ever from another, in any sense, or that understanding the origin of a thing never has any explanatory value. Denying that anything is ever from another would deny the existence of any order, including the order of time, and consequently it is unlikely that Russell would deny this. It is more likely that he would deny the possibility of explanation through the origin of a thing.

This is naturally contrary to common sense, since it is easy to give examples where we think we understand a thing through its origin, such as the example of the carpenter and the chair. And denying the existence of final causes means denying that any of our actions have any purpose, or at least that our purposes explain our actions in any way. Such a denial is even more useless than this entirely useless blog; it would be better to believe that our actions have purposes regardless of the evidence for or against this.

Let’s go back to St. Thomas’s argument:

Now in efficient causes it is not possible to go on to infinity, because in all efficient causes following in order, the first is the cause of the intermediate cause, and the intermediate is the cause of the ultimate cause, whether the intermediate cause be several, or only one. Now to take away the cause is to take away the effect. Therefore, if there be no first cause among efficient causes, there will be no ultimate, nor any intermediate cause. But if in efficient causes it is possible to go on to infinity, there will be no first efficient cause, neither will there be an ultimate effect, nor any intermediate efficient causes; all of which is plainly false.

St. Thomas is not giving some complex reason here why there needs to be a first cause when there is a series of causes, but a very simple one. Taking away a first cause is simply taking away all causality. It is that simple, because causality implies explanation, and explanation needs to begin somewhere. I may want the chair from the carpenter in order to sit, and I may want to sit in order to avoid exhaustion, and I may want to avoid exhaustion in order to live a good life and to be happy. Perhaps there are some other reasons why I want the last thing as well. But as soon as I claim that I have a series of purposes that goes on forever, I take away the possibility of these supposed purposes explaining why I want a chair.

This is true about final causes, and it is true about every kind of cause, since cause always implies explanation. There is always a first.

Things it is Better to Believe

Since belief is voluntary, it follows that truth is only one of the possible motives for belief, and people can believe things for the sake of other ends as well. Consequently there may be some things that it is always better to believe, even without making a special effort to determine whether they are true or not.

Consider the claim that “Life is meaningful,” understood to mean that there are purposes in life, and therefore good and evil.

If this is true, it is good to believe it, because it is true, and because we need to be aware of our ends in order to seek them.

If it is not true, then it does no harm to believe it, because good and evil do not exist in that situation. And likewise, it cannot be better not to believe it in this situation, since better and worse do not exist.

Thus the strategy of believing that life is meaningful weakly dominates the strategy of believing that life is not meaningful, although it does not “strictly” dominate, since the payoffs of the two strategies are equal if life is not in fact meaningful. Consequently the better thing is to choose to believe that life is meaningful, even without a particular investigation of the facts.

As another particular example of this kind of reasoning, we can consider this discussion from chapter 9 of Eric Reitan’s book Is God a Delusion? A Reply to Religion’s Cultured Despisers:

In his Letter to a Christian Nation (2006), Sam Harris notes that, statistically speaking, somewhere in the world right now a little girl is being abducted, raped, and killed. And the same statistics suggest that her parents believe that “an all-powerful and all-loving God is watching over them and their family.” Harris asks, “Are they right to believe this? Is it good that they believe this?” His answer? “No.” According to Harris, this answer contains “the entirety of atheism” and is simply “an admission of the obvious.” He encourages his readers to “admit the obvious”: that when devout Hurricane Katrina victims drowned in their attics while praying to God for deliverance, they “died talking to an imaginary friend” (pp. 50-2). With righteous indignation, Harris condemns the “boundless narcissism” of those who survive a disaster only to “believe themselves spared by a loving God, while this same God drowned infants in their cribs” (p. 54).

After some discussion of this, Eric Reitan’s strategy is not to try to make things look any better, but to make them look even worse:

A mother, running late for a morning meeting, rushes out the door with both her children. The older son is to be dropped off at preschool, the baby girl at a nearby daycare. When the preschool lets out, the daycare’s minivan will bring the son to the daycare, where he will wait with his baby sister until their mother gets off work.

The mother gets to work, leaving the car in a sunny lot. It’s a hot day. She makes it to her meeting and has a productive day. At five o’clock she gets in her car and drives to the daycare. Her son runs to her. She picks him up and kisses his head, then looks around for her baby girl. Not seeing her, she asks one of the daycare workers. “I’m sorry, ma’am. You didn’t drop her off this morning.” The reply, tentative and apologetic, doesn’t have the tone of something that should tear a life apart. But it does. The mother’s hands go numb. Her son falls from her grasp. It feels as if all the darkness in the world is pressing outward from inside her. No. Impossible. But she has no memory of unstrapping that precious little girl, of carrying her into the daycare. No memory, in the rush of the morning, the urgency to get to her meeting on time. Driving to the daycare after work, looking forward to seeing her children, she never looked at what was in the back seat. And now her knees give out and the sobs escape even before she makes it to the car, even before she sees what’s there. Someone is soothing the son, who stands at the daycare door. The mother is beating at the car windows with her fists. In her imagination the baby girl is screaming for mommy, for comfort, as the car grows hotter and hotter, while all the while the mother is in her stupid meeting, talking about stupid contracts, feeling relieved that she’d made it to work on time. And the son, distressed beyond understanding by his mother’s behavior, breaks free of the daycare worker and runs towards her – into the path of an oncoming car.

This story is loosely based on real events. And there are life stories bleaker than this. Horror is real. According to the 2007 Global Monitoring Report put out by the World Bank, there are at present more than one billion people on earth living in “extreme” poverty (that is, on less than $1 per day). Such poverty is not only dire in itself but renders the poor terribly vulnerable to exploitation, disease, and natural disasters. I could fill a book with harrowing stories of human lives crushed by a combination of poverty, brutal abuse, and the grim indifference of nature. But that isn’t needed, I think, in order to convince most readers that there are horrors in the world so devastating that those who undergo them feel as if their entire lives are stripped of positive value, as if they’d be better off dead – while those who are implicated in them, once they come to appreciate the full measure of their complicity, are torn apart by self-loathing. If there is a God, His reasons for permitting such evils are hidden from us. And, as Marilyn Adams has pointed out, even if traditional theodicies give some general sense of why God might create a world in which evils exist, these theodicies bring no comfort to the mother as she turns away from her infant’s corpse just in time to see her son crushed under the wheels of a screeching car. It won’t give meaning to her life. It won’t eliminate the horror. Her existence has, in a few heartbeats, become worse than a void. It’s become come a space of affliction compared to which the void would be preferable. This woman needs salvation.

In order to survive such a situation, Reitan says, it is necessary to believe in the redemption of evil, namely that in some way a greater good is brought out of such horrors:

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?

He concludes the chapter with this response to Sam Harris:

Somewhere, even as I write this, a girl is being raped and murdered. Her parents believe in a transcendent God of love who will redeem even the most shocking horrors.

Are they right to believe this? Is it good that they believe this?

In the darkness of affliction, Harris’s answer rings hollow.

This example differs in some ways from my original example of the claim that life is meaningful. The original claim was understood to be the assertion that good and evil exist in life, and thus the denial would be that there is no good and evil in life. But in Reitan’s discussion, the claim is stronger, namely something like “God exists and will always bring good out of evil.” Harris’s denial of this claim does not in itself imply the non-existence of good and evil, at least not without additional consideration. In fact, his position is that very great evils exist and that we should not try to explain them away with this claim about God, so he is not, on the face of it, denying that good and evil exist. Consequently one cannot immediately deduce that believing the claim about God is a dominant strategy.

Nonetheless, if Reitan’s and Harris’s views are compared here with respect to the good of the people concerned, a fair comparison, since Harris was the one who the claimed that it was bad for people to believe such things, it does seem that Reitan has a much stronger case. The woman does seem much better off believing the claim about God and the redemption of evil.

But this is not the whole story.