Despite this usage, most of us know that randomness has something to do with probability, and that it often implies a lack of conscious intentionality. But what do mathematicians and scientists mean when they say something is random? Can a random process lead to an ordered, even predictable outcome? Is there evidence that God makes use of random processes to fulfill his creative purposes?

These are big questions, and we won’t address them all today. But I think randomness is an important topic to cover for two reasons: 1) it is integral to many processes in biology (and math, physics, chemistry, etc.), and 2) it is commonly misunderstood to be incompatible with Christianity.

As I said above, most of us know that randomness has something to do with probability. If you pick a card “at random” from a shuffled deck, you have a small probability of drawing an ace (4 out of 52, or a 7.7% chance). If you flip a coin, you have an equal probability of getting heads or tails.

Randomness also seems to imply a lack of intentionality or purposefulness. After all, you might hope for an ace when you draw a card, but you can’t choose one on purpose. You might call heads when you flip a coin, but you can’t know beforehand what the outcome will be. Thus the outcome is indeterminate, but is it purposeless? Not necessarily. Indeterminacy simply means the result cannot be predicted from the outset.

It should be noted that indeterminacy does not imply that God does not have foreknowledge of future events. Christians ought not to be uncomfortable with the idea of God interacting with his creation through chance. We often describe a seemingly-random (i.e. unplanned by us) sequence of events as being “providential,” or planned by God.

In biology, it is very hard or impossible to calculate precise probabilities for most processes, so when we say a process is random, we typically mean it is extremely unpredictable. Eventually we will discuss randomness within biological evolution, but first we must consider some simpler processes, like the self-assembly of a virus.

Viruses are remarkably efficient entities. Coiled tightly within a protein-based shell is a small amount of DNA needed for self-replication. The shell, called a capsid, is made of many repeating protein subunits and is therefore highly symmetrical (see figure). Important biomedical insights have certainly been gleaned from structural studies of viruses, but viruses also teach us about the emergence of order from non-order.

The virus life cycle has four main steps: 1) enter a host cell, 2) hijack the cell’s replication and translation machinery to make many copies of itself, 3) assemble into many virus particles, and 4) exit the cell to invade another host.

When I first learned about this process, I found it very hard to believe it just “happens.” The idea that a bunch of molecules bumping into each other inside a crowded cell could spontaneously assembly into a fully-functional virus seemed a bit far-fetched. Many viral capsids have over 100 protein subunits that must interact with each other in just the right way, or it won’t work. Surely there must be something driving this process, right?

There is! Random motion. I had to see it to believe it. I distinctly remember sitting in class during my first year of graduate school when the professor demonstrated self-assembly of a virus using a 3D model as shown in the following video. In less than 30 seconds, you can watch a jumbled heap of proteins become a beautifully ordered structure.

As the narrator explains, sub-assemblies form and break apart en route to the most stable structure, the full capsid. As the sub-assemblies begin to form, further associations with free subunits become more favorable and as a result occur rapidly, while the final steps may take considerably longer. While the subunits in the model are rigid, in reality the proteins take on multiple conformations, allowing the capsid to “breathe.”

Amazing as it is, the system we just considered—one virus capsid in a jar—is pretty simple. One wonders how self-assembly can happen in a crowded cell, where there are countless other molecules diffusing around, potentially getting in the way. We can’t directly see how it happens in a cell, but we can reconstitute the process in a test tube using different combinations of constituent molecules.

Consider two viruses, where each protein subunit in one virus is the mirror image of the corresponding subunit in the other. Putting the two viruses together by hand would be pretty tricky, because the constituent parts look so similar. But random motion can do the job in short order:

From this model, we can see clearly, in real-time, how distinct complex structures can arise from their parts randomly interacting with one another. Many large viruses also use special scaffolding proteins to assist in the assembly process, and some even use their own genomes as a scaffold. In addition, two closely-related viruses that happen to infect the same cell can exchange parts to create a new virus. This is one way viruses can evolve quickly to evade the host’s immune system.

Here we have seen how viruses demonstrate a principle inherent in God’s world—that order can emerge out of chaos from random processes. In my next post, we will look at some other biological processes that make use of—rather, depend on—randomness. This will set the stage for us to see that such processes can not only assemble a structure within seconds or minutes, but also generate complex, information-bearing molecules over billions of years. Even though the freedom inherent in nature sometimes produces unintelligently-designed structures (like viruses, which can kill us), we see that God has made, and continues to oversee by his providence, a good creation that, at least in part, is capable of creating itself.

Next weekend, we’ll continue this series about randomness and God’s divine will. Up next: how God created the body to heal itself, and how can random mutations can be both harmful and benign.

Understanding John Polkinghorne: Theology of Nature

John Polkinghorne’s interest in natural theology is important, but what really sets him apart from most others is that he combines it with an equally strong interest in theology of nature, which is not the same thing. Where natural theology involves, “metaquestions about the pattern and structure of the physical world,” theology of nature involves, “metaquestions about how its historical process is to be understood.” Rather than “looking to the physical world for hints of God’s existence,” we look “to God’s existence as an aid for understanding why things have developed in the physical world in the manner that they have.” (Belief in God in an Age of Science, p. 13)

On this front, Polkinghorne advances a strongly Christocentric theology of creation, stressing Jürgen Moltmann’s notion of The Crucified God . In the context of Polkinghorne’s theology of nature, the point is that the Creator is the crucified and resurrected second person of the Trinity. Since I devoted a column to this before, I won’t say more here, except to alert readers to the singular importance this particular idea has for him—especially when facing the problem of suffering. “The insight of the Crucified God lies at the very heart of my own Christian belief, indeed of the possibility of such belief in the face of the way the world is.” (Belief in God in an Age of Science, p. 44)

Situating John Polkinghorne: The Resurrection of Jesus

Many Christians today see science as posing dangerous threats to their faith, challenging their understanding of the Bible and undermining core tenets such as the bodily Resurrection of Jesus, the historical basis on which the Christian faith stands or falls. “Evolution” is often identified as the problem, but the real danger is unbridled naturalism. A commitment to naturalistic methods, known as “methodological naturalism,” (MN) has been an integral part of science and medicine since the ancient Greeks. Those methods have been highly successful at producing a coherent, often very convincing picture of nature and the history of nature.

Advocates of Intelligent Design and some other Christians reject MN, but many Christians who work in the sciences and related fields (such as engineering, medicine, or the history and philosophy science) support MN as a properly grounded and properly limited way of understanding reality. In their view, a robust Christian faith is consistent with a commitment to MN, provided that the limits of scientific inquiry are not simply equated with the limits of rationally grounded belief. Polkinghorne fits squarely in this category.

To understand more clearly where Polkinghorne lies on the larger landscape of science and religion, let’s consider his approach to the Resurrection. Many contemporary thinkers, including some theologians and clergy, believe that “science” has somehow made it impossible to believe in the Resurrection, the deity of Jesus, and even belief in the transcendent God of the Bible.

A prime example is John Shelby Spong, a retired Episcopalian bishop whose books have sold more than one million copies. Spong sees the bodily Resurrection as a figment of the disciples’ imaginations, a vestige of a theism that now we must throw away like a threadbare suit of clothes. For Spong, Christians today need to go "beyond theism" throwing out the baby of divine transcendence—the fundamental truth of monotheism—along with the bath water of the credulity and mythology of the pre-modern authors of the Bible and the ecumenical creeds. Spong’s message is that “Christianity must change or die,” and all in the name of “science.”

As Spong likes to say, his work is very controversial, and not just among rank-and-file Christians. Scholars have also railed against him. “I have been attacked in books from the religious right by such people as Alistair MacGrath [whose surname is actually spelled McGrath], N.T. Wright, and Luke Timothy Johnson,” he complains (Why Christianity Must Change or Die, p. xvi).

I understand (with much sadness) that we live in a highly polarized age. Nevertheless, it’s difficult for me to grant much credibility to an author who identifies McGrath, Wright, and Johnson as representatives of the “religious right.” Indeed, if anyone here is distorting the news it is Spong, not they. As the (late) great Catholic biblical scholar Raymond Brown once observed, “I do not think that a single NT [New Testament] author would recognize Spong’s Jesus as the figure being proclaimed or written about.” (Birth of the Messiah, note 321 on p. 704)

Matthias Grünewald, The Resurrection (a wing of the
Isenheim Altarpiece, ca. 1515), Unterlinden Museum,
Colmar, France

Polkinghorne certainly understands science far more than Spong does, and his conclusions about the implications of science for Christian beliefs are markedly different. With respect to the Resurrection, he is basically on the same page with his friend Wright, whose profound book, The Resurrection of the Son of God, he cites with appreciation. Belief in the Resurrection is well supported by the evidence, and the Resurrection, itself, is “the pivot on which the claim of a unique and transcendent significance for Jesus must turn.” Considering authors like Spong (although he does not explicitly name him), he adds, “it would be a serious apologetic mistake if Christian theology thought that operating in the context of science should somehow discourage it from laying proper emphasis on the essential centrality of Christ’s Resurrection, however counterintuitive that belief may seem in the light of mundane expectation.” (Theology in the Context of Science, pp. 135-6)

Amen.

Looking Ahead

This is the Easter season, and I’ll return in a couple of weeks to begin examining Polkinghorne’s approach to the Resurrection more fully, using excerpts from the chapter on “Motivated Belief” from his recent book, Theology in the Context of Science.

References

Raymond E. Brown, Birth of the Messiah: A Commentary on the Infancy Narratives in the Gospels of Matthew and Luke. (1992).

John Polkinghorne, Belief in God in an Age of Science (1998).

John Polkinghorne, Theology in the Context of Science (2009). My review for First Things online is here.

John Shelby Spong, Why Christianity Must Change or Die (1998).

If we want to talk about God, creation, and science, where should we start? It’s easy to begin with conflict. We can claim that the rise of modern science is the root of cultural decline. We can dive right into some of the contentious questions about how the Bible and science relate to each other. We can adopt a posture of defensiveness about what Christians believe and the ways in which some people think science threatens our beliefs.

But this is not a good place to start. The place to start is the place where all good Christian theology must start: with God.

“In the beginning, God….” These are the first words of the Bible. “I believe in God….” These are the first words of the Apostle’s Creed. If we want to develop wisdom and understanding about the relation between God and creation, then we need to start with the source of everything: God.

But how do we know anything about God? And how can we say anything about God? As we go about our daily lives, we can’t converse with God in exactly the same way that we might talk with our families, friends or neighbors. We can’t touch or smell God like a patch of green grass or taste Him like an apple. We can’t see him like an image on our TV screens. In theological terms, there is a sense in which God is “hidden” to our human senses. Many great Christian thinkers, such as Martin Luther, spent a good part of their lives reflecting on the “hiddenness” of God.

It may surprise you to hear God described as “hidden.” Those of us who have been in the Church for a while often are much more familiar with talk of how God has revealed Himself to us. We seem to gravitate towards detailed and systematic explanations of what we think we can know about God. God has, of course, revealed Himself to us – or else there would be very little point in trying to speak about Him. In scripture, in the proclamation of the Church, in the created world, and most importantly, in Jesus Christ, God has made Himself known. So why start with how God is “hidden?”

The very fact that God cannot be directly perceived by our ordinary human senses tells us something important about God and creation. God is “hidden” because He is “other.” God is not a patch of grass, and a patch of grass is not God. God is not an apple, and an apple is not God. God is not a television image or painting or statute, and a television image, painting or statute is not God. God is not a human being, and human beings are not God. God is not matter, the stuff of the created world, and matter is not God.

In theological terms, God is transcendent. “God” and “creation” are not the same thing. This is a basic idea that distinguishes Christian understandings of God from many other philosophies and religions. In fact, this emphasis on God’s transcendence is one important difference between the Hebrew and Christian theologies of creation and the prevailing ideas in the ancient near eastern world of the Biblical writers. It also distinguishes Christian thinking about God and creation from some of the important ideas that are common today.

In many ancient near eastern creation myths, the material creation was derived from the body of a god. In the Babylonian Enuma Elish, for example, the female god Tiamat is killed by another god, Marduk, and the two halves of Tiamat’s corpse become the earth and the skies. In Egyptian mythology, many of the gods were related to material entities. Ra, for example, was the god of the Sun, Nut was god of the sky, and Geb was god of the earth. These stories reflect an ontology in which there is no sharp distinction between the gods and the material world. The Biblical literature, in contrast, separates the nature and being of the creator-God from the nature and being of His creation.

In contemporary popular Western culture, two of the most common ideas about God and creation really are very old notions dressed up in new clothes.

One is a thought you might hearon TV talk shows, in self-help books, or in popular music or movies: that “everything is one” or that “God is in everything and everyone.” This usually sounds like “pantheism” — the notion that God and the world around us really are essentially the same thing. In American popular culture, this often boils down to God becoming the same thing as our own individual selves. How often have you heard a line like this in a song or TV show or movie: “what you’ve been looking for has been right inside yourself all along” or “the most important thing is to find out who you are?”

The truth of God’s transcendence means that the real basis for a meaningful and good life lies outside of our selves. We are part of creation, and therefore we are not God. We must look outside ourselves to find the source of life. Before we become too critical here, we need to preview for a moment another important theme in Christian theology: that God is also immanent. It is true that creation is an interconnected system and that God is always present throughout all of creation. It is also true that in our created humanity we are made for an intimate connection with God. It is right to look into ourselves as we seek God. As Augustine described in his Confessions, an honest search of the self should reveal a nature that is not self-sufficient, that is not meant to be alone, that longs for relationship with a beauty and harmony and love that the individual self cannot sustain. Augustine called this a “God-shaped void” at the heart of every person.

Yet we also need to be clear that, while the search may begin within our selves, it must not stop there. God is “other,” so we must continue beyond ourselves, in fact beyond everything we think we see, in order to find Him. And the paradox here is that we can only find the true meaning and purpose of our own selves by going beyond ourselves and finding the God who is other than us and who made us.

The other idea often expressed in our popular culture is that “matter is all there is.” Unfortunately, for some people this idea has become the standard for supposedly “scientific” thinking about the world. But this is not a “scientific” idea at all – it is a metaphysical statement (“metaphysical” just means “beyond the physical”) with roots going back to the ancient Greek Stoics. For many educated people in Western culture, if something cannot be verified with the human senses, it is not “real,” or at least it is not worthy of consideration as a matter of “fact” or “reason.”

There are many reasons why this way of thinking about what counts as truth or knowledge has become so influential. Our modern intellectual, political and social systems were shaped by the period from the seventeenth to eighteenth centuries known as the “Enlightenment.” Even modern Christianity has been tinged in significant ways by Enlightenment thought.

The Enlightenment, of course, was not all bad. It gave us some great gifts, including the contemporary scientific method and the political frameworks, such as the U.S. Constitution, that support the freedoms we now take for granted.

But like many exciting moments in history, the Enlightenment produced some unbalanced perspectives. The ways in which human beings can know things in addition to observation of the tangible world around us were lost. The sorts of intuitions and experiences that human beings throughout history had understood to reach beyond reason were discredited. The thought that a transcendent God might have broken into history to reveal anything about Himself was mostly set aside.

Christian theology has always asserted that because God is transcendent, human observation and human reason are neither the starting point nor the ending point for true knowledge, wisdom and understanding. If matter is not all there is, then our search for truth cannot be limited to the material world alone. In fact, the beginning of knowledge and wisdom is the realization that God is beyond and other than the created world. Again, a word of balance is in order. Human observation and reason do matter, precisely because God created us as part of a world that is in important ways orderly and knowable. The great Christian thinker Anselm said that knowledge is the act of “faith seeking understanding.” “Understanding” – the sometimes difficult process of bringing all our resources, including reason, to bear on the search for truth – depends on and follows “faith.”

God’s transcendence means that the physical world does not represent the limits of what is true and real. Indeed, the physical world is not the beginning or end of what is true and real. The “beginning and end,” the “alpha and omega,” is the God who is beyond all our thoughts and imaginings.

A common argument leveled against the theory of evolution is that scientists have not been able to produce the expected transitional fossils that show the change of one species into another. If evolution were true, wouldn’t there be instances of clear intermediary species, like, for example, a species that was half whale and half hippo to show the transition between those two? In this BioLogos podcast, Kelsey Luoma addresses this misconception about what a transitional fossil actually is. Rather than a mix between two related species, transitional fossils point back to the common ancestors that modern species share. The fact is that the number of transitional species is massive and it grows with each passing year. Given the rarity with which organisms are actually fossilized, the amazing thing is actually the completeness of the fossil record, not its incompleteness. The transitional species story strongly supports, and certainly does not disprove, evolutionary theory. ¹

1. To hear the full audio clips which have been referenced go to:

• Rational Response Debate with Kirk Cameron (from Way of the Masters)
• Behind the Scenes with Dr. Neil Shubin (from Cincinnati Museum Center)
• Mark Norell Publishes New Archaeopteryx Findings (from American Museum of Natural Sciences)
• Texas A&M Professor Discusses Findings of Autralopithecus Sediba and its Relationship to Humans (from Texas A&M University)
• Intro/outro music composed by Martin Minor (Minor2Go).

An audio only version of the podcast can be downloaded here.

Transitional Fossils

Some time ago, the Discovery Institute’s Casey Luskin commented on the human origins exhibit at the Smithsonian Institution, suggesting that palaeoanthropologists use evolutionary theory to describe the progression of the human lineage even when they don’t have transitional fossils with which to work. He writes:

What's ironic, however, is that if you ask the question How Do We Know Humans Evolved? the answer you’re given is, “Fossils like the ones shown in our Human Fossils Gallery provide evidence that modern humans evolved from earlier humans.” So whether you find fossils or you don’t, that’s evidence for evolution.

Indeed, it has become an article of faith for those espousing both the young earth creation (hereafter YEC) model and many who hold to the intelligent design model that transitional fossils do not exist and therefore evolution has not taken place. Support for this position usually entails attacking the weak areas of the fossil record, where burial processes have left us little with which to work, or the creation of straw men arguments in which transitional fossils are defined in such a way that none could ever be found. Often this centers on the concept of “missing link,” a term that is habitually used in the popular press and young earth creation and intelligent design literature when referring to fossil remains but which has little to no meaning for biologists or palaeontologists. As Ahlberg and Clack (Ahlberg and Clack 2006) write:

But the concept has become freighted with unfounded notions of evolutionary ‘progress’ and with a mistaken emphasis on the single intermediate fossil as the key to understanding evolutionary transitions. Much of the importance of transitional fossils actually lies in how they resemble and differ from their nearest neighbours in the phylogenetic tree, and in the picture of change that emerges from this pattern.

Contrary to common misconceptions, the fossil record does not record one single lineage for any family of organisms but rather a series of branches, with many related species coexisting synchronously. Darwin hypothesized that the evolutionary record reflected this bushiness and drew such a diagram in his journal. At the time, though, he had little in the way of fossil evidence to back up this position. Much has changed since his day.

An analogy for understanding this “bushiness” was best described by Prothero and Buell (Prothero and Buell 2007). They suggest that the reader consider his or her own genealogy. You and your siblings are the direct descendents of your parents and, while you are similar to them, each of you has different characteristics not shared with them as well as characteristics that you do share. Your parents have siblings as well (your aunts and uncles), and your grandparents are their last common ancestors. These siblings have their own children (your cousins), who have different and similar traits relative to their parents. They are broadly recognizable as being related to you (“oh, I see you have Aunt Edna’s nose”) but three or four generations out, they will become less and less so. These are the “nearest neighbours” that Ahlberg and Clack describe. In this analogy, each of these cousins represents a transitional form from what was (your grandparents) to what will be down the road.

For example, no one would confuse a frog with a salamander but if you trace the fossil record of each back in time, eventually you encounter a fossil, Gerobatrachus hottoni which was recently discovered (Anderson et al. 2008) that is best described as a “frogamander,” having the basal characteristics of both frogs and salamanders. Had we seen such an animal at the time, it is likely we would not have found it remarkable because it would have resembled the species around it. One lineage eventually diverged into frogs, salamanders and other amphibians. Most (just like Darwin proposed in his tree diagram with the little hatch marks at the tip of many branches) went extinct.

Taxonomy and the Beginnings of Human Origins

All life is classified based on a system devised by Carolus Linneaus in 1735 in his remarkable work Systema Naturae. This system gives all recognized species an individual place based on a system of hierarchy. The study of classification is known as taxonomy. A taxonomic ranking for humans would be this:

When a fossil is excavated, the first thing that the palaeontologist does is make a taxonomic assessment of where it fits in a sequence of known fossils. Traits that are shared with other like species or genera are referred to as primitive traits. Examples of this in humans are five fingers and the presence of three arm bones. We share this with all mammals. Traits that are new or are not shared with other like species are referred to as derived traits. Examples of this in humans are the skeletal changes in the pelvis and the foot to allow for walking upright. We do not share these with any other primates.

Transitional fossils in the human fossil record are distinguished at both the genus and species level. This group includes the extinct genera Ardipithecus and Australopithecus and the current genus Homo. All species except Homo sapiens are extinct. Much of the recent study of early humans focuses on the transition from Ardipithecus (‘Ardi’) to Australopithecus (‘Lucy’ and similar fossils) and from Australopithecus to Homo, the genus that led eventually to us. While each of the australopithecine species identified in the fossil record has derived characteristics that separate them from their ancestors and from each other, only one led to the genus Homo.

In future posts, I will describe the evidence for human evolution and why this evidence is compelling. It suggests that we have had a long, varied history filled with great leaps of change, crushing defeat, and eventual expansion into all areas of the globe.

Notes

Ahlberg, P. & J. Clack (2006) A firm step from water to land. Nature, 440.

Anderson, J. S., R. R. Reisz, D. Scott, N. B. Frobisch & S. S. Sumida (2008) A stem batrachian from the Early Permian of Texas and the origin of frogs and salamanders. Nature, 453, 515-518.

Prothero, D. & C. Buell. 2007. Evolution: What the fossils say and why it matters. Columbia Univ Pr.

Introduction

One of the reasons that some of us are hesitant to accept evolutionary creation is that it seems to make God responsible for the suffering and death of innumerable creatures over millions of years—before humans ever existed or sinned against their creator. Since we believe in and worship a God who is loving, benevolent, and all-powerful, it sounds quite implausible that our God would have created a world like that; therefore, any scientific evidence for evolution must be incorrect.

Other people look at the scientific evidence for evolution and find a compelling case that it has taken place during our earth's history. On this basis they may conclude that if evolution is true, then the belief in an all-powerful, perfectly good God must be false!

The trouble with both of these views is that they tend to invoke a completely abstract, philosophical god, not the living God of the Bible—the God who became a human being, experienced unimaginable suffering, and died in a grotesque and humiliating public display. The death of Jesus completely defied the expectations (and common sense) of his followers, as well as the expectations of any “rational” understanding of the way the Creator of the universe should act in the world. On the cross, in the person of Jesus, God took upon himself far more suffering than any creature has ever experienced.

If God himself is willing to die, particularly in such a gruesome way, then perhaps we should at least consider the possibility of God allowing the death of other creatures, too. But would this really be compatible with what we know of God through Scripture? In this essay, we will explore this quandary through a “theology of the cross”, a concept articulated by pastor George Murphy in his book Cosmos in the Light of the Cross.¹

Theology of the cross

Before we jump into the theological problems associated with evolution, let’s take a look at how we understand Christian theology itself. For the reformer Martin Luther, any theology (or science) that tries to reach knowledge of God apart from the cross is bad theology.² Instead, Luther pointed to a theologia crucis, in which the true God is seen first and foremost “through suffering and the cross”. To make his point even clearer, Luther insisted that “the CROSS alone is our theology”.³ It is the lens through which we view everything.

Of course Martin Luther, having lived in the 16th century, was not aware of the vast history of life on our planet (or any other aspect of modern science, for that matter), but George Murphy draws from Luther’s teachings the foundation that all human knowledge begins with the Word made flesh and crucified.⁴ With the cross of Christ as the ultimate framework through which we view reality, we are bound to view the processes of nature quite differently. As Murphy explains it,

A theology of the cross is an explication of belief in a God who becomes a participant in the history of the universe and thereby shares in the suffering, loss, and death that are part of worldly experience.⁵

God does not sit idly by and watch unaffected as his creatures suffer, but neither does he swoop in and make everything completely effortless and easy. Instead he chose another way, the crucifixion of Jesus—certainly not the approach that we would have preferred! The apostle Peter went so far as to try to talk Jesus out of it, but he was met with a stern rebuke (Matthew 16:21-23).

Why is evolution so disconcerting to Christians?

The problem of suffering throughout all of human history is troubling enough for us to reconcile with a loving, personal God. But in addition to that, the discovery of vast numbers of fossils reveals that death has taken place on a far greater scale than we had ever imagined. Both the wide variety of extinct creatures and their sheer numbers is quite staggering, and it raises questions about our Creator:

The picture of a God who is immune from suffering and death but who forces organisms through millions of generations and extinction is disturbing to those who believe in a God of love.⁷

The mass extinction of life on earth was already well established by the early 19th century—decades before Darwin’s research—and extinction can be empirically verified independent of any theory of evolution.⁸ The fact that the earth’s crust is a veritable graveyard of long-lost creatures is deeply troubling, and as late as the 1790’s, distinguished intellectuals such as Thomas Jefferson denied the very possibility of extinction.⁹

But in addition to the reality of species extinction, the theory of evolution by natural selection proposes that new species also arise in an environment containing widespread pain and death. Both the creatures that are now living and those that are gone are tainted by an “acrid smell of death”.¹⁰ It makes us wonder, if our Creator is not the God of the dead, but of the living (Mk. 12:27), where is God’s presence in the evolutionary picture?

In all honesty, creation through evolution is not what we would expect from God, but Scripture is full of examples in which God acts in unexpected ways. After all, God’s choosing to undergo an agonizing death on a cross is not what we would expect from the all-powerful Creator of the universe, either. In both cases, new life comes about through pain, suffering, and death. As George Murphy puts it,

A priori ideas about God have to be overcome, and God's character has to be learned from God's self-revelation.¹¹

God’s fullest self-expression is in Jesus Christ himself, one who is intimately familiar with and personally endured creaturely pain and death. The theology of the cross reveals that God's self-revelation takes place in situations of suffering, loss, and apparent hopelessness, much like situations that occur through natural selection.¹²

The crucifixion is disconcerting too

Not only is creation through evolution an unexpected and unsettling process, but so is the crucifixion of Jesus! Killing someone by hanging them on a cross is an unbearably painful, prolonged, humiliating form of death. It was such a horrific type of public execution that it wasn't until after the Roman Empire stopped the practice of crucifixion—and people no longer witnessed it personally—did the cross become a visual object of devotion.¹³ Our culture is sufficiently removed from crucifixion that we are desensitized to its original significance, but to connect it to our current context, imagine the reaction you would get by wearing jewelry designed to look like an electric chair.¹⁴

Once we are more attuned to the brutality of crucifixion, it seems all the more striking that the cross is the sign of God’s work, what George Murphy calls “the trademark of God”.¹⁵ The suffering and death of Jesus is featured prominently in the Gospels, but the crucifixion-resurrection pattern is strongly resonant within the Old Testament, too. Israel suffered and toiled as slaves in Egypt for centuries before they were rescued in the Exodus, bringing life to a people who were spiritually dead. Centuries later, the nation of Israel would experience death again when the Babylonians destroyed the Davidic monarchy, burned their Temple, killed their people, and sent many into exile.¹⁶ Neither Israel (God’s chosen people) nor Jesus (God’s own son) were spared from death and suffering; rather, suffering seems to have been the way in which God re-forms and renews humanity to fully bear His own image.

Redemption extends to all of creation

Fortunately, God’s story does not end with death. God gives new life after his creatures have been subjected to terrible circumstances. Redemption was promised to Israel itself—Ezekiel’s vision of the valley of dry bones describes how God would renew His chosen people (Ezek 37:1-14). Later, the astonishing resurrection of Jesus made salvation possible not only for Jews, but for all people in Christ (Gal 3:26-29). Ultimately, the New Testament makes it clear that God’s renewal will encompass the entire Creation:

For God was pleased to have all his fullness dwell in him, and through him to reconcile to himself all things, whether things on earth or things in heaven, by making peace through his blood, shed on the cross. (Colossians 1:19-20)

With all wisdom and understanding, he made known to us the mystery of his will according to his good pleasure, which he purposed in Christ, to be put into effect when the times reach their fulfillment—to bring unity to all things in heaven and on earth under Christ. (Ephesians 1:8-10)

Christians are accustomed to thinking of the death of Christ in regard to humans, but our culture rarely acknowledges God plan for the redemption of His entire creation. This is partly attributable to the fact that discussions of creation and origins are often separated from the topic of salvation.¹⁷ In doing so we tend to marginalize Jesus as we argue about Genesis. Rather than fall into this trap, if we view nature through a theology of the cross, we will see Christ as both the alpha and the omega point in discussions of life’s history and life’s future. With this perspective, we are more apt to sense our solidarity with the rest of creation as we wait in eager anticipation of a glorious future:

The creation waits in eager expectation for the children of God to be revealed. For the creation was subjected to frustration, not by its own choice, but by the will of the one who subjected it, in hope that the creation itself will be liberated from its bondage to decay and brought into the freedom and glory of the children of God. (Romans 8:19-21)

Conclusion

As part of the Church’s conversation about the problem of natural evil, this essay is meant to be a brief introduction to a “theology of the cross”. One can explore this concept in greater detail in Murphy’s book The Cosmos in the Light of the Cross. While there is a lot more to be said, let me conclude with the following observation: though evolution may not be compatible with some interpretations of Christianity, evolutionary creation is certainly compatible with the crucified Christ and the theology of the cross. In the person of Jesus, God suffers with the world and ultimately redeems it. As George Murphy puts in, “The world's pains are God's stigmata.”¹⁸

Explore this Topic Further

• Miller, Keith. “And God saw that it was good”: Death and Pain in the Created Order. BioLogos series
• Murphy, George L. The Cosmos in the Light of the Cross. Harrisburg, PA: Trinity Press, 2003.
• Murphy, George L. “Cross, Evolution, and Theodicy: Telling It Like It Is”. In The Evolution of Evil. Edited by G. Bennett, M.J. Hewlett, T. Peters, and R.J. Russell. Göttingen: Vandenhoeck & Ruprecht, 2008.
• Southgate, Christopher. The Groaning of Creation: God, Evolution, and the Problem of Evil. Louisville, KY: Westminister John Knox Press, 2008.

Notes

1. Murphy, George L. The Cosmos in the Light of the Cross. Harrisburg, PA: Trinity Press, 2003.
2. Murphy, p34
3. “CRUX Sola Est Nostra Theologia,” in D. Martin Luthers Werke, Kritische Gesammtausgabe (Weimar: Hermann Boehlau, 1892), 5:172. The captitalization is in the original. Cited in Murphy, p26.
4. Murphy, p108
5. Murphy, p4
6. Murphy, p43
7. Murphy, p3
8. Some Christians ascribe animal death to some combination of Adam’s fall and Noah’s flood, but this does not resolve the problem that the animals are still suffering and dying through no fault of their own. See Keith Miller’s BioLogos series Death and Pain in the Created Order for the limitations inherent in a fall-based theodicy.
9. Rudwick, Martin. The meaning of fossils: Episodes in the history of paleontology. Chicago, University of Chicago Press, 1985.
10. See Jeff Schloss’ BioLogos essay Evolution, Creation, and the Sting of Death
11. Murphy, p63
12. Murphy, p122
13. Murphy, p27
14. This example is drawn from an evangelical outreach event held by a Christian student group in Innsbruck, Austria. On campus one day, they started conversations with their classmates by asking the question, “Would you wear an electric chair on your neck?”
15. Murphy, George L. The Trademark of God: A Christian Course in Creation, Evolution, and Salvation. Wilton, Conn.: Morehouse-Barlow, 1986.
16. Murphy, Cosmos in the Light of the Cross, p 31-32.
17. Murphy, p35
18. Murphy, p87

In Part 2 of this series, we concluded by noting that, as Christian geologists willing to consider the possibility, we find no compelling evidence that the earth’s geological features can be explained by a global Flood. Here we consider three lines of evidence: global salt deposits, the order of deposition of sediment layers in the Grand Canyon, and the sequence of fossils in geological strata.

Salt Deposits

There are many places around the earth with layers of salt, some thousands of feet in thickness. Just off the southern coast of the United States in the Gulf of Mexico, thick salt deposits sit beneath thousands of feet of sediment (Fig. 1). These deposits lie within the layers that are said to have been deposited by the Flood.

We understand how salt beds form. At locations such as the Bonneville Salt Flats of Utah, or at the Dead Sea at the border of Israel and Jordan, salt is actively forming. Salt beds form when water is evaporated. During evaporation, the concentration of dissolved ions increases until the water cannot hold the salt in solution anymore and mineral salt begins to form. If a presently unknown or poorly understood process could produce salt without evaporation, as argued by young-earth advocates¹, it would quickly dissolve as soon as it came into contact with flood water, just as the salt from your saltshaker rapidly dissolves when added to water or moist food.

One might argue that the waters from the Flood could have evaporated to leave behind the salt deposits we see today, but there is a serious problem. The thousands of feet of sediment on top of the salt is also said to be from the Flood, meaning the flood waters cannot have evaporated to produce the salt and still be present and violent enough to transport thousands of feet of sediment to the same location. In other words, a single flood cannot be called upon to explain both the salt and the overlying sediment. For those who wish to argue that natural processes could have been vastly different during the Flood, there are at least two replies. First, under such a scenario, there is no point in Flood Geology studies any more than in normal studies, for nothing could be gained by the study of unknowable processes. A more important question, however, would be to ask why God would alter natural processes just to make Flood sediments look like they are not flood sediments. What would the purpose be? (We will revisit this thought later.)

Grand Canyon: Order of Deposition

The Grand Canyon is made up of a sequence of layers that defies any reasonable attempt to explain by a single flood. The alternating layers of limestone, sandstone and shale each form in unique environments. If these deposits were formed at different times under various sea-level stages, it is quite simple to explain the different grain sizes and rock types as a function of depth and distance from the shore line. If explained with a single catastrophic flood that abided by God’s natural laws of physics and chemistry, logic must be stretched beyond the breaking point.

As a very simple observation, consider instructions given in virtually every gardening book. A good soil will have a mix of sand, silt and clay. To determine the quality of your soil, you take a handful or two, put it in a clear container, add water and shake it up. When you stop shaking, the coarse grained material will settle out first resulting in a sequence of layers: sand on the bottom, then silt, then clay. You can readily see how much of each you have by the thickness of each layer.

This is informative of what we see in flood deposits. As moving flood waters slow down, finer and finer grained sediment settles out resulting in a “fining upward” sequence. If most of the Grand Canyon layers were laid down by the Flood, then we should see the same thing – a “fining upward” sequence. Instead, we see a series of alternating layers of fine and coarse grained material, with smaller-scale alternating layers within the larger ones (Fig. 2). Increasing the violence of a flood does nothing to negate the standard order of deposition. Repeated surging of flood waters across the surface likewise offers little explanatory power; in this case we might expect successive layers, each with their own “fining upward” sequence, but such is not what is observed. Further, the Grand Canyon includes multiple layers of limestone, which are never found in flood deposits of any magnitude. Even in floods as massive as one thought to have catastrophically deluged the once dry Mediterranean Sea basin with thousands of feet of water – limestone beds are conspicuously absent.

Fossil Sequence

If a massive flood were responsible for the fossil record, what would we expect to see? If the Flood was violent enough to rip chunks of rock up from the earth and move entire continents (standard Young Earth claims)², then it should be obvious that life forms from every imaginable niche would be tumbled and mixed together (Fig. 3a). We should find numerous examples of mammoths mixed with triceratops, and pterodactyls mixed with sparrows. Ferns and meadow flowers should be found in the same deposits, along with trilobites and whales. Further, we should find all major life forms still living today, for Genesis 7:8-9 is clear in stating that all terrestrial animals were preserved on the ark.

What we actually observe is far different (Fig. 3b). There is an orderly sequence where trilobites only occur in very old rocks, dinosaurs in later beds, and mammoths in still later layers. Organisms like flowers and ferns are present together in more recent deposits, but only ferns with no flowers are found in older deposits. Some readers will recognize this as an example from the “geologic column” and be tempted to discount it as a fabrication. For those thinking this way, consider what Henry Morris had to say in both editions of Scientific Creationism:

“Creationists do not question the general validity of the geologic column, however, at least as an indicator of the usual order of deposition of the fossils…”⁵

If we revisit the Grand Canyon for a moment, is it not striking that there is not a single dinosaur, mammoth or bird in the entire exposed sequence? Not one. To find these, you have to go to younger sediments found in deposits outside the canyon that have not been fully eroded away yet. How could such a lack of mixing be possible if the Flood was violent enough to move continents?

Keeping History Safe

In the cold morning air with the sun not yet over the ridge, the place to begin preparation for summiting Mount Darwin is to ponder the reasonableness of miracles. Many Totalizers would like to ban miracles from university consideration and inquiry. Trouble is: human history is awash with credible people reporting miracles.

Modern academic tradition tends to try and maintain order. For historians it behooves us professionally to avoid accounts of alleged spiritual events. We find comfort in a little logical gymnastics that keeps history safe for us to wander in, a deceptively formulaic avoidance method that helps us avoid what people are telling us about extraordinary events in the past.

David Hume popularly articulated this logical gymnastics in an essay titled “Of Miracles” that was eventually printed in Enquires Concerning Human Understanding (1748). “I flatter myself,” Hume triumphantly proclaimed, “that I have discovered an argument . . . which, if just, will, with the wise and learned, be an everlasting check to all kinds of superstitious delusion, and consequently, will be useful as long as the world endures.”

His everlasting check on superstition begins with a circular argument that because miracles can’t happen, a reasonable person should not even listen to reports of them. Hume taught that though the normal job of a historian was to listen to the testimony that comes down to us from the past, there is a point at which you can close your ears. Hume knew that historical testimony can get wild, so he came up with a way to domesticate the wildness, a way to make history a zoo rather than allow it to be a jungle. His “Of Miracles” has been tremendously influential in the discipline of human history over the last two hundred and fifty years, not because his ideas are strong, but because his ideas are useful. Get rid of “superstitious delusions,” and the discipline of history can be turned from a safari into a form of home economics. Hume’s domestication of history is seductively simple. Instead of following the Aristotelian tradition of linking the credibility of hard-to-believe testimony to the credibility of the testifier, Hume recommended disregarding the testifier and focusing only on the testimony. This effectively removed the persuasive power from hard-to-believe testimony. Miracles need the credibility of an eyewitness in order to have persuasive power. Hume cut the power source from the unwanted testimony.

Essentially, Hume adopted the modeling technique that Darwin later used and is best seen in Global Positioning System (GPS) units. Hume recommended gathering testimony from the past and every region to create a general model of what humans generally experience. Using this mass of information, one should generalize standards of common experience. Now if anyone reports a miracle, the alleged event can’t be true because it does not conform to the generalized standards of common experience. (Of course, Hume had already refused to allow that any reports of miracles could be used even to generalize common experience.) It’s tricky. Its logic is circular. But it works to weed out awkward, quirky information. It is as if a domineering GPS unit created a sphere to serve as an abstraction for the earth, then insisted that the earth can’t have wobbling poles and flattening in the upper latitudes because the sphere in the GPS shows it can’t be true. Given a useful and trustworthy GPS, don’t listen to a scientist who might tell you something different than what the GPS tells you.

The circularity of this argument has been noted ever since Hume first proposed it, but Hume was a good writer and said what a lot of people wanted to hear. Miracles are impossible so miracle reports can’t be true. Don’t even listen to reports of them.

Balancing Likelihoods

Also embedded in Hume’s essay is the awkward “rule of logic,” most often called “Balancing Likelihoods.” By combining math and logic in an odd way, Hume’s “Of Miracles “ offered another way for historians to avoid thinking about miracles. Balancing Likelihoods has many names but is probably best stated by David Hackett Fischer, in his Historians’ Fallacies: Toward a Logic of Historical Thought, as “the rule of probability:”

“[A]ll inferences from empirical evidence are probabilistic. It is not, therefore, sufficient to demonstrate merely that A was possibly the case. A historian must determine, as best he can, the probability of A in relation to the probability of alternatives. In the same fashion he cannot disprove A by demonstrating that not-A was possible, but only by demonstrating that not-A was more probable than A. This is the rule of probability.”

This seems to be practical but is impossible. Balancing Likelihoods, in the way described by Fischer, cannot be used by historians in any normal practice. It is a talisman to keep history mentally safe from the wildness that is reported to exist. Logicians, especially mathematicians, have long criticized intellectual constructions like this. The “probability” that Fischer writes about is seemingly mathematical, but the math is simply implied to give a sense of strength to human feelings.

Before Hume wrote “Of Miracles” probabilistic logic had been advancing rapidly and there was a great hope that mathematical analogies would strengthen human thinking—even Christian apologetics. “Pascal’s Wager,” the most famous mathematical apologetic from the seventeenth century, equated eternal salvation with mathematical infinity and then applied it to a gambling formula. Antoine Arnauld, in The Port-Royal Logic (1662), and John Locke, in his Essay Concerning Human Understanding (1690) and Discourse on Miracles (1706), carried probabilistic math and logic into the handling of reported miracles. A half-century later, however, Hume reacted against Arnauld and Locke’s teachings that mathematical analogies could help in the discussion of the credibility of miracles. Hume insisted that to handle a reported miracle, a historian had to create two separate ratios, pro and con, for believability. The ratios were then to be weighed against each other. This is Fischer’s “rule of probability” quoted above. In the language of Hume’s era, this was proclaimed as the “calculus of good sense.”

Lorraine Daston, in Classical Probability in the Enlightenment (1988), offers an excellent study of Hume and the many eighteenth-century mathematicians who wanted to help bring rigorous quantitative thinking to what today would be called the humanities. Daston writes that by the 1840s, mathematicians realized that “the ‘calculus of good sense’ had become antithetical to good sense,” and that today most of what these early probabilists were trying to do is considered “patently absurd.”

In 1901, one of America’s preeminent philosopher-mathematician-logicians, Charles Sanders Peirce, wrote three essays attacking the way historians had adopted Hume’s bad logic: “A Preliminary Chapter, Toward an Examination of Hume’s Argument Against Miracles, in its Logic and in its History,” “Hume’s Arguments Against Miracles, and the Idea of Natural Law,” and “On the Logic of Drawing History from Ancient Documents especially from Testimonies.” Peirce showed that historians are in error when they talk of judging testimony by balancing probabilities because “in a scientific sense, there are no ‘probabilities’ to be judged.”

Probability, Peirce wrote, “is the ratio of the frequency of occurrence of a specific event to a generic event.” A testimony “is neither a specific event, nor a generic event, but an individual event.” Peirce further pointed out that what people were justifying by claiming Balancing Likelihoods was really simply relating “what they prefer to do” to what they don’t prefer. “Likelihood is merely a reflection of our preconceived ideas.”

Historians like me who teach in universities about the reasonable credibility of Jesus’ resurrection need to be students of Peirce not Hume on the subject of assessing the credibility of reports that come down to us from ancient history. Dealing wisely with reports of events verging on the incredible is just part of the normal job of being grounded in the social study of our complex human past.

“Come to history as a doubter,” Richard Marius advises in a historical methods manual. “Skepticism is one of the historian’s finest qualities. Historians don’t trust their sources. . . . Nothing is quite so destructive to a historian’s reputation as to present conclusions that prove gullibility.”

But Marius is wrong. In practice, historians have to trust more than doubt. In practice, historians, especially ancient historians, can’t rely on doubting. Historians have to be close listeners, discerning listeners, wise listeners, who sometimes have to make harmonies and stretch for belief.

There are several different kinds of arguments that people bring along these lines; I want to talk about just one. So first… the Heidelberg catechism, one of the forms of unity of the church I go to (the Christian Reformed Church), says

Providence is the almighty and ever-present power of God, by which he upholds as with his hand heaven and Earth and all creatures and so rules them, that leaf and blade, rain and drought, fruitful and lean years, food and drink, health and sickness, prosperity and poverty. All things, in fact, come to us not by chance, but from his fatherly hand.

And part of the way it comes to us—not by chance, but from his fatherly hand—part of the way God has designed our world, is that there is a great deal of regularity and dependability in our world. Of course, if it were not for this regularity and dependability, we couldn’t do the things that we actually do. I mean, for example, if I just wanted to walk off the stage—if, for example, all the sudden those stairs over there suddenly turned into a ladder going up—well, that would make it really difficult.

If you are trying to build a house, for example, you have this hammer, but all the sudden the hammer turns in to a goose or a pigeon. Again, that would make things really difficult…or if the nail turned into a worm…or if you get in the car and turn the key and the car turns into a camel, things would be really hard, much harder than they are. This regularity and dependability in our world is an essential condition of our being able to live in the world in which we actually do.

If the world were irregular enough, we would not even be able to live in it, but there are also, according to classical Christianity here (the Heidelberg catechism, for example) there are also special divine actions; sometimes God does things specially. There are miracles in Scripture: the parting of the Red Sea, for example, Jesus walking on water, Jesus changing water into wine. There are miraculous healings: Jesus rising from the dead, Jesus raising Lazarus from the dead, and so on. And according to classical Christians, many of them, perhaps most of them, are special divine actions. God, for example, responds to prayers. He works in the hearts and minds of his children to effect sanctification. There is, what Calvin called, the internal testimony or witness of the Holy Spirit, and there is what Thomas Aquinas called the internal instigation of the Holy Spirit. So, these things are all special actions on the part of God. God constantly causes events in the world. Ok, so far fair enough—what is the problem?

Many theologians seem to think there is a science-religion problem here. I don’t think any of the theologians of Biola think this, (I don’t know, but I doubt it) but many theologians do. For example, Rudolf Bultmann says, “The historical method,” which of course he thinks that is the method we should use, “includes the presupposition that history is a unity in the sense of a closed continuum of effects in which individual events are connected by the succession of cause and effect. This continuum, furthermore, cannot be rent by the interference of supernatural, transcendent powers.”

That’s what he says. Alright, there is this continuum that cannot be rent by the interference of supernatural (that would be God) or transcendent powers. So, it is a little bit like the laws of the Medes and Persians. You probably remember Daniel. Daniel was a favorite of King Darius, and well, the other courtiers became jealous of Daniel (they didn’t like it that the king liked him so well). So, they came to the king and said, “Oh king, live forever, we think it would be a great idea if you passed an edict to the effect that you alone can be worshipped. Everybody has to worship you and nothing else.” Well the king thought that over for a minute, and that sounded pretty good to him so he said, “I guess that it is a pretty good idea.” So he made this edict; he made this declaration: “Only King Darius is to be worshipped—no one else, nothing else.”

These courtiers knew that Daniel worshipped God, and they thought probably Daniel would keep right on worshipping God despite this edict. So they were watching Daniel, and he was, in fact, worshipping God. So they came to the king. Now the penalty for worshipping something else was to be thrown into the lion’s den and they said, “Well, king live forever, looks like Daniel has been violating this edict. You have got to throw him in the lion’s den.”

Well, the king didn’t want to do this because he really liked Daniel. He thought this was a miserable way to proceed, and he didn’t want to do it, but then they said to him, “O king live forever, and remember a law of the Medes and Persians cannot be abrogated, even by the king himself.” So once it’s put in place, not even the king himself can change it or abrogate it or go against it.

That is sort of the suggestion that you get here from Bultmann. Bultmann thinks, “Maybe God created the world and set it up in a certain way, but once he did that, not even he can interfere in it”—he uses that word interference—“not even he can do anything in it. He just has to keep hands off.” It is like the law of the Medes and the Persians.

Another theologian who agrees is John Macquarrie, who says,

The way of understanding miracle (and that would be one kind of special divine action) that appeals to breaks in the natural order and to supernatural intervention belongs to the mythological outlook, and cannot commend itself in a post-mythological climate of thought. The traditional conception of miracle is irreconcilable with our modern understanding of both science and history. Science proceeds on the assumption that whatever events occur in the world, can be accounted for in terms of other events that also belong within the world, and if on some occasion, we are unable to give a complete account of some happening, the scientific conviction is that further research will bring to light further factors in the situation that will turn out to be just as imminent and this worldly as the factors already known.

Ok again, no room there for special action. And the third thinker here, Langdon Gilkey (still another theologian), says something similar, but I will pass. I will not read that one in the interest of saving a little bit of time, but these three theologians, plus many others want to assert that there is something wrong with the idea of God acting in the world, acting in the world in a way that goes beyond creation and sustaining, or creation and holding things in existence. So they think, “Ok, God created the world; God sustains it in existence”…that is ok with them, but anything beyond that, God performing any miracles, raising Jesus from the dead, or for that matter working in somebody’s heart and mind in a special way, that, they say, is a real problem. The question is, what is the problem?

Well, the next little bit here…according to the Christian and theistic idea, God is a person; he has knowledge, loves, and hates. He has aims and ends. He acts on the basis of his knowledge to achieve his ends. He is all-powerful, all-knowing, and wholly good. Thirdly (noted above by the Heidelberg catechism), God has created the world. Fourth is God conserves and sustains and maintains in being this world he created, but fifth, at least sometimes, God acts in a way going beyond creation and conservation in miracles, but also in his providential guiding of history, his working in the hearts of people, his internal instigation of the Holy Spirit, and so on, and it is with that fifth category that these people have a problem. It is God’s special action in the world—action beyond conservation and creation—and miracles would be an example.

So we might think of these theologians as endorsing what we could call hands off theology. God has got to keep his hands off. God could create the world. God conserves the world, sustains it in being, but he can’t do anything else—that is as far as he could go. It is hands off theology, and Bultmann, even in this context, even talks about interfering. I mean if God did something in the world that would be interfering, which, when you think about it, is a sort of strange thing to say—I mean if God created the world, he is the omnipotent, omniscient, holy, good creator of the world—when you accuse someone of interfering, you are saying they are doing something they should not be doing, right?

So Bultmann thinks if God did something in the world that would be interfering, and he should be ashamed of himself. Ok, now why is this a problem? Their suggestion is that somehow it is contrary to science. It is contrary to science the suggestion that God acts specially in the world. I didn’t read that bit, but Gilkey says, "The causal nexus in space and time which the enlightenment science and philosophy introduced into the western mind is also assumed by modern theologians and scholars. Since they participate in the modern world of science, both intellectually and existentially, they can scarcely do anything else.”

From a presentation sponsored by Biola University’s Center for Christian Thought, and delivered February 12, 2012 at EV Free Church, Fullerton, CA. Used by permission.

Suppose a man falls among thieves, or wild beasts; is shipwrecked at sea by a sudden gale; is killed by a falling house or tree. Suppose another man wandering through the desert finds help in his straits; having been tossed by the waves, reaches harbor; miraculously escapes death by a finger’s breadth. Carnal reason ascribes all such happenings, whether prosperous or adverse, to fortune. But anyone who has been taught by Christ’s lips that all the hairs if his head are numbered [Matt. 10:30] will look further afield for a cause, and will consider that all events are governed by God’s secret plan.

In this passage, Calvin presents belief in “fortune” as evidence of carnal reasoning, and statements like this one have contributed to a widely-held notion that modern scientific understandings of the role that randomness plays in nature is inconsistent with belief in divine providence. In other words, if “randomness” equals blind and capricious “fortune,” then how can God be said to be working all things to his ends?

But Calvin could not have known of the very different understanding of randomness held by today’s scholars. Physical scientists, mathematicians, and statisticians have not yet agreed on a single unambiguous definition of the term “randomness,” but among these scientists, the term consistently refers to a family of related concepts focusing on unpredictability of the outcomes of single events and the absence of pattern in sequences of outcomes. I like this statement by John Polkinghorne, “Chance doesn't mean meaningless randomness, but historical contingency. This happens rather than that, and that's the way that novelty, new things, come about.” In Polkinghorne’s view, chance is an agent of creativity and can be perceived as being purposeful.

In fact, there are abundant examples of phenomena in nature in which randomness plays a role one could understand as being purposeful. For example, osmosis is a marvelous mechanism that enables all 10 trillion cells in our bodies to be nourished – it depends on the random motion of molecules. The human immune system is able to defend the body against attacks from millions of different microorganisms using a relatively small number of building blocks and random combinations of these to fashion defenses specific to each adversary. We never take a breath and find it to be all nitrogen or carbon dioxide – random motion of molecules keeps oxygen close to uniformly distributed throughout the atmosphere.

In 2007, a British statistician, David Bartholomew published God, Chance, and Purpose in which he argues that God “can have it both ways”—that he can use low level randomness to accomplish divine purposes while simultaneously maintaining order at a higher level. Of course, we cannot prove that God ordained these random processes to achieve divine purposes in the world. But to a person of faith, such an interpretation in both consistent with the observations we make in science and with the Scriptural notion of God’s providential care for the world.

Considerations like these led the John Templeton Foundation to provide a generous grant of $1.69 million to support a new research initiative on the theme of Randomness and Divine providence. Beginning this past summer, the program has the purpose of providing support for solid theoretical exploration of the kinds of ideas and possibilities expressed above—involving theology, philosophy, natural science, mathematics, and statistics. The grant will support individual scholars and teams of scholars who are willing to devote a significant amount of time between March of 2013 and June of 2015 to such work, and the project’s request for proposals suggests the following as questions researchers might pursue:

• How might God work providentially through indeterminate processes? Can recent advances in understanding the nature of randomness offered by algorithmic information theory, physics, biology, and other sciences provide insight into this question?
• Can we bring clarity to the concept of "randomness"? Philosophers and scientists have tried on occasion to give precise definitions of when a process is random, but more work needs to be done on the question. How do (or should) conceptions of randomness vary across academic disciplines?
• What are some possible implications of randomness for hiding or unfolding divine creativity and purpose in the world? Could God use randomness to (1) generate creativity, (2) hide divine actions, or (3) unfold information? Why might God do so?
• How might we identify and come to understand a significant collection of nondeterministic processes in which agents could intentionally employ randomness to bring about purposeful results?
• How might we mathematically and physically model random processes in ways that help us understand how divine providence could be exercised in a "chance-governed" world?
• How do "laws and orders" in nature interplay with "chance and randomness" in bringing about results that can be interpreted as aspects of divine providence?
• Might randomness be evidence of limitations in human knowledge but nothing more? Or might it be evidence of ontological indeterminism? Might this be tested?
• What implications does randomness have for aspects of God’s relationship with the physical world such as God’s relationship to time and God’s role in causation? How might randomness be reconciled with God’s foreknowledge?
• How might an understanding of providence based on an extended Molinism and/or open theology incorporate randomness? For example, could an extended Molinism provide a plausible account of the relationship between quantum mechanics and divine providence?
• What are some theodical implications of randomness, particularly for the issue of natural evil?
• How have the theological traditions of Augustine, Maimonides, Aquinas, Luther, and Calvin addressed chance and fortune? In what ways might they incorporate ontological randomness?
• How do or could religions other than the Judeo/Christian tradition understand and incorporate randomness?
• How is the concept of randomness understood by advocates of secularism, naturalism, and new atheism? What are the strengths and weaknesses of these usages?
• How might an understanding of randomness in the world alter our conceptions of divinity, especially our understanding of divine providence?

Despite the range of issues mentioned above, research is by no means restricted only to these topics. In fact, the structure of the program is designed to foster collaboration and build community between scholars, with the end of expanding the range and integration of their work: two conferences will be held to bring scholars together with each other and then with members of the public—one at Calvin College in 2013 and the other at Fuller Theological Seminary in 2015. To get more information and to learn how to submit a proposal, see the project website; then join us in exploring the truth that all creation glorifies God—even randomness!

For more, be sure to read our FAQs How are the ages of the Earth and universe calculated? and What scientific evidence do we have about the first humans?, as well as our recent infographic How Do We Know the Earth is Old?.

Author's Note from Joy Walters

As I mentioned in my first post, I grew up skeptical of the whole idea of evolution. One contributor to my disbelief was the lengthy timescale for the “tree of life” that was presented with the theory. I would hear, for example, that dinosaurs lived hundreds of millions of years ago, but there was no explanation of why this was true; it was just given as a fact. No one explained the methods of dating, and so I thought biologists simply estimated the ages of species to fit their preconceived notions of how long it would take for one species to emerge from another. It also seemed like the ages were periodically revised and extended farther back in time, and I figured scientists needed to manipulate numbers to make evolution plausible. This, in my mind, made the theory both unbelievable and dismissible.

Once I learned about the techniques used to date fossils, I realized that my first impressions were wrong; the ancient ages of species are scientific determinations rather than scholarly conjectures. However, I have found in recent conversations that Christians remain skeptical of old ages and the evolutionary time scale. For this reason, I wanted the videocast to address the process of fossil dating (what the methods are and why they are accurate) while focusing on cases where hominid fossils were discovered and dated using these very methods. My hope is that Believers would be informed about the evidence for human evolution and its scientific grounding.

There are two opposite errors which need to be countered about the fossil record: 1) that it is so incomplete as to be of no value in interpreting patterns and trends in the history of life, and 2) that it is so good that we should expect a relatively complete record of the details of evolutionary transitions within all or most lineages.

What then is the quality of the fossil record? It can be confidently stated that only a very small fraction of the species that once lived on Earth have been preserved in the rock record and subsequently discovered and described by science.

There is an entire field of scientific research referred to as "taphonomy" -- literally, "the study of death." Taphonomic research includes investigating those processes active from the time of death of an organism until its final burial by sediment. These processes include decomposition, scavenging, mechanical destruction, transportation, and chemical dissolution and alteration. The ways in which the remains of organisms are subsequently mechanically and chemically altered after burial are also examined -- including the various processes of fossilization. Burial and "fossilization" of an organism's remains in no way guarantees its ultimate preservation as a fossil. Processes such as dissolution and recrystallization can remove all record of fossils from the rock. What we collect as fossils are thus the "lucky" organisms that have avoided the wide spectrum of destructive pre- and post-depositional processes arrayed against them.

Soft-bodied organisms, and organisms with non-mineralized skeletons have very little chance of preservation under most environmental conditions. Until the Cambrian nearly all organisms were soft-bodied, and even today the majority of species in marine communities are soft-bodied. The discovery of new soft-bodied fossil localities is always met with great enthusiasm. These localities typically turn up new species with unusual morphologies, and new higher taxa can be erected on the basis of a few specimens! Such localities are also erratically and widely spaced geographically and in geologic time.

Even those organisms with preservable hard parts are unlikely to be preserved under "normal" conditions. Studies of the fate of clam shells in shallow coastal waters reveal that shells are rapidly destroyed by scavenging, boring, chemical dissolution and breakage. Occasional burial during major storm events is one process that favors the incorporation of shells into the sedimentary record, and their ultimate preservation as fossils. Getting terrestrial vertebrate material into the fossil record is even more difficult. The terrestrial environment is a very destructive one: with decomposition and scavenging together with physical and chemical destruction by weathering.

The potential for fossil preservation varies dramatically from environment to environment. Preservation is enhanced under conditions that limit destructive physical and biological processes. Thus marine and fresh water environments with low oxygen levels, high salinities, or relatively high rates of sediment deposition favor preservation. Similarly, in some environments biochemical conditions can favor the early mineralization of skeletons and even soft tissues by a variety of compounds (eg. carbonate, silica, pyrite, and phosphate). The likelihood of preservation is thus highly variable. As a result, the fossil record is biased toward sampling the biota of certain types of environments, and against sampling the biota of others.

In addition to these preservational biases, the erosion, deformation and metamorphism of originally fossiliferous sedimentary rock have eliminated significant portions of the fossil record over geologic time. Furthermore, much of the fossil-bearing sedimentary record is hidden in the subsurface, or located in poorly accessible or little studied geographic areas. For these reasons, of those once-living species actually preserved in the fossil record, only a small portion have been discovered and described by science. However, there is also the promise of continued new and important discovery.

The forces arrayed against fossil preservation also guarantee that the earliest fossils known for a given animal group will always date to some time after that group first evolved. The fossil record always provides only minimum ages for the first appearance of organisms.

Because of the biases of the fossil record, the most abundant and geographically widespread species of hardpart-bearing organisms would tend to be best represented. Also, short-lived species that belonged to rapidly evolving lines of descent are less likely to be preserved than long-lived stable species. Because evolutionary change is probably most rapid within small isolated populations, a detailed species-by-species record of such evolutionary transitions is unlikely to be preserved. Furthermore, capturing such evolutionary events in the fossil record requires the fortuitous sampling of the particular geographic locality where the changes occurred.

Using the model of a branching tree of life, the expectation is for the preservation of isolated branches on an originally very bushy evolutionary tree. A few of these branches (lines of descent) would be fairly complete, while most are reconstructed with only very fragmentary evidence. As a result, the large-scale patterns of evolutionary history can generally be better discerned than the population-by-population or species-by-species transitions. Evolutionary trends over longer periods of time and across greater anatomical transitions can be followed by reconstructing the sequences in which anatomical features were acquired within an evolving branch of the tree of life.

For more, be sure to read Randall Pruim's recent series Randomness and God’s Governance, Kathryn Applegate's post That's Random: A Look at Viral Self-Assembly, and our FAQ How Do Randomness and Chance Align with Belief in God's Sovereignty and Purpose?.

Author's Note

I am so thankful that I grew up in a Christian environment, which both kindled and nurtured my relationship with Jesus Christ. The Biblical instruction I received from my parents, pastors, and teachers has been invaluable as I walk out my love for the Lord from day to day. However, there was one specific topic growing up which was not fully addressed, namely evolutionary theory.

Coming from a conservative Christian background, evolution was given little or no thought because of its seeming contradiction to the creation story in Genesis. To me, evolution meant a monkey became a human, and as far as I knew, I had never seen that happen! So, of course, it appeared too improbable to hold any truth. When it was discussed, an inadequate picture of its ideas was often painted, which caused immediate suspicion and rejection of the theory. I don’t think this was intentional, but most Christians have never learned an unbiased, in-depth theory of evolution that is completely detached from societal agendas and philosophical conclusions. Therefore, their explanations of the theory are often misinformed.

My senior year of high school, I took AP Biology, and finally learned the scientific reasoning supporting this theory. I was surprised by how logical and obvious the mechanisms of change (such as mutations, natural selection, genetic drift, and so on) were that gave rise to new species. My subsequent response was, “No wonder people believe evolution occurred.” At that point, I was convinced that microevolution (evolution within a species) existed, but I was still questioning macroevolution.

Now, being at Point Loma Nazarene University as an undergrad in the Biology-Chemistry major and a year-round, student intern at BioLogos, my understanding of evolution has expanded enormously. I have enjoyed critically thinking through the evidence for evolution and reading articles that tackle difficult issues at the interface of science and Christian faith. Ultimately, I know that God has created all things, but the processes he used surpass my small understanding.

My personal wrestling with evolution and quest for truth has led to times of prayer and studying God’s Word, which has deepened my love for him in ways I cannot express. The first chapters of Genesis, in particular, have come alive. My whole life, the creation story was a straightforward list of facts about the creation of the world; I never searched further. I didn’t even perceive the truths Genesis declared over my very identity and God’s character. The more I study his Word and handiwork, I glimpse the awesomeness and majesty of the Creator, who loves me much more than I know. There is still so much to learn, but I am confident that he will lead me into all truth as I seek him out.

I desire to give others the opportunity to see evolution accurately and to distinguish it from the traditional, philosophical, and personal conclusions that too often cloud the scientific theory. I believe these conclusions alienate Christians from evolution more than the scientific theory itself. Ultimately, I do not mean to convince someone about evolution, but simply to give them the freedom to understand it.

Therefore, my goal for this podcast is two-fold:

• First, to offer a new perspective on randomness within natural processes that removes its negative connotations (especially as it relates to evolution).
• Second, to expose why evolution is powerless to support conclusions beyond the physical realm.

This will hopefully encourage others to study evolutionary theory and draw their own conclusions about its meaning in the framework of their faith.

(Written by the BioLogos editorial team)

In a recent lecture in Washington, D.C., Intelligent Design advocate Stephen Meyer noted that scientists and theologians are generally uncomfortable with the idea of "supernatural intervention" in natural processes such as evolution. He then posed the question, “What's so bad about supernatural intervention?” Meyer’s comment touches on a point of particular tension among Christians engaged in understanding how our science and our theology interact: the nature of divine action.

Much of the confusion in this area, however, stems from the inexact meaning of intervention, which—like evolution or Darwinism—implies different things to different people. All Christians affirm that God works powerfully in the world, doing extraordinary acts of creation and salvation. In common conversation, then, intervention tends to mean simply “acts that are recognizably or obviously God’s,” whether as dramatic as the parting of the Red Sea or as subtle as an individual believer hearing a clear call to repentance or to mission from the Lord. Even in this most casual sense, intervention tends to mean special occasions of God’s providential care, rather than his ordinary sustaining work.

But to Christian scientists and philosophers trying to understand God’s action in creation—especially how he might go about his sustaining role—intervention has another connotation: namely, that recognizing something as “divine action” requires it to be in violation of the natural laws which God himself established. Put another way, many Christian thinkers associate the word intervention with the idea that to act in the world God “must” act from outside the world. That view is a central tenet of deism, not Christianity. One response to Meyer’s comment, then, is to ask whether intervention is the only (or even a helpful) way of thinking about God’s work in biological creation. Is there another way of talking about “divine action” that does not restrict God's work to only extraordinary events? Can we conceive of divine action in a way God is never absent, distant, or in any way removed from the creation he sustains at every moment?

Finding such an alternative vocabulary to talk about the different ways God acts in his creation is the purpose of this short series introducing the work of theologian and physicist Robert John Russell. Russell’s book Cosmology: From Alpha to Omega explores the history of Christian thinking about divine action and proposes one model for how we might understand it in light of Scripture, the traditions of the church, and contemporary scientific explorations of the material world.

To be clear, Russell argues that God does unmistakably act in the world. He singles out the bodily resurrection of Jesus not only as a prime example, but as a truly unique event distinct even from Christ’s other miraculous acts during his ministry on earth. That is, the resurrection was an in-breaking of God’s new reality into the present one, something “beyond miraculous.” This series, though, offers his perspective on the more basic issue of how God might be at work in what we have called the “ordinary processes” of his world.

We begin our three-part series below with Professor Russell’s description of how views of divine action have changed throughout history (excerpted from Chapter 4 of Cosmology: From Alpha to Omega).

Historical background to the problem of divine action

The notion of God’s acting in the world is central to the biblical witness. From the call of Abraham and the Exodus from Egypt to the birth, ministry, death and raising of Jesus and the founding of the church at Pentecost, God is represented as making new things happen. Through these “mighty acts,” God creates and saves. Rather than seeing divine acts as occasional events in what are otherwise entirely natural and historical processes, both the Hebrews and the early Christians conceived of God as the creator of the world and of divine action as the continuing basis of all that happens in nature and in history.

The view that God works in and through all the processes of the world continued throughout Patristic and Medieval times. For example, God was understood as the first or primary cause of all events—where all natural causes are instrumental or secondary causes through which God works. The conviction that God acts universally in all events, and that we act together with God in specific events, was maintained by the Reformers and the ensuing Protestant orthodoxy. John Calvin (1509-1564) argued that God is in absolute control over the world and at the same time maintained that people are responsible for evil deeds. Questions about human freedom and the reality of evil were seen more as problems requiring serious theological attention than as reasons for abandoning belief in God’s universal agency.

Moreover, faith in God the creator was articulated through two distinct but interwoven doctrines: creation and providence. The doctrine of creation asserts that the ultimate source and absolute ground of the universe is God. Without God, the universe would not exist, nor would it exist as “universe.” Creation theology, in turn, has often included three related but distinct claims: 1) the universe had a beginning; 2) the universe depends absolutely and at every moment on God for its sheer existence; and 3) the universe is the locus of God’s continuing activity as Creator. The first two have traditionally been grouped in terms of creatio ex nihilo(creation from nothing), and the third in terms of creatio continua (continuing creation).

The doctrine of providence presupposes a doctrine of creation, but adds significantly to it. While creation stresses that God is the cause of all existence, providence stresses that God is the cause of the meaning and purpose of all that is. God not only creates but guides and directs the universe towards the fulfilling of God’s purposes. These purposes are mostly hidden to us, though they may be partially seen after the fact in the course of natural and historical events. The way God achieves them is hidden, too. Only in the eschatological future will God’s action throughout the history of the universe be fully revealed and our faith in it confirmed. General providence refers to God’s universal action in guiding all events; special providence refers to God’s particular acts in specific moments, whether found in personal life or in history.

Divine intervention arises in the Enlightenment

The rise of modern science in the seventeenth century and Enlightenment philosophy in the eighteenth, however, led many to reject the traditional views of divine action. Although Isaac Newton (1643-1727) argued for the essential role of God in relation to the metaphysical underpinnings of his mechanical system, and in this way defended the sovereignty of God in relation to nature, Newtonian mechanics depicted a causally closed universe with little, if any, room for God’s special action in specific events—and then only by intervention: that is, by acting as from outside that closed system. A century later, Pierre Simon Laplace (1749-1827, pictured left) combined the determinism of Newton’s equations with epistemological reductionism (the properties and behavior of the whole are reducible to those of the parts) and metaphysical reductionism (the whole is simply composed of its parts), to portray all of nature as a causally closed, impersonal mechanism. This in turn led to the concept of interventionism: if God were really to act in specific events in nature, God would apparently have to break the remorseless lock-step of natural cause and effect by intervening in the sequence and violating the laws of nature in the process.

The eighteenth century also saw the rise and fall of deism, in which the scope of divine agency was limited to an initial act of creation. According to deism, the universe was like a clock which, once built and set in place, proceeded to run on its own. David Hume (1711-1776) challenged the deistic (and theistic) arguments for God as first cause and as designer. In response, Immanuel Kant (1724-1804, pictured right) constructed a new metaphysical system which emphasized the mind’s role in organizing sense-data through universal categories of intuition and forms of sensibility. According to Kant, the sphere of religion lies not in our knowing (the activity of pure reason) but in our sense of moral obligation (the activity of practical reason). It is our ethical system, not our knowledge of nature, that requires us to postulate God, freedom and the immortality of the soul. The consequence of Kant’s thought for the West was the philosophical separation of the domains of science and religion into “two worlds”—a move which was to have an immeasurable effect on Christian theology up to the present.

Theology splits into conservative and liberal interpretations of divine action

As a consequence of the philosophical division of science and religion, theology in the nineteenth century was faced with a fundamental challenge not only to its contents and structure, but even to its method. The variety of responses to this challenge tend to fall into two groups: “liberals” largely accepted and worked within the terms of the discussion that modernity dictated while “conservatives” upheld traditional formulations and tended to reject “modernity.” The earliest and most influential figure among liberals was Friedrich Schleiermacher (1768-1834), who responded to Kant by locating religion as neither a knowing nor a doing. Instead religion is grounded in personal piety—the feeling of absolute dependence.

Schleiermacher held that theological assertions emerge from the immediacy of the religious self-consciousness. He understood God’s relation to the world in terms of “universal divine immanence” [the idea that God is present to the entire cosmos at all times], and he blurred the distinction between creation and providence by collapsing the later into the former. In a famous move he defined miracle as “. . . simply the religious name for event. Every event, even the most natural and usual, becomes a miracle, as soon as the religious view of it can be the dominant.” Schleiermacher’s arguments became characteristic of liberal Protestant theology throughout the nineteenth century and continued into much of twentieth century theological work.

The second half of the nineteenth century saw the rise of Darwinian evolution, which combined random variation and natural selection to explain biological complexity. To some in the nineteenth and twentieth centuries, the fundamental role of chance in nature seemed to undercut any notion of divine action in the world; to others, such as the Anglo-Catholic liberal movement in Britain and America, Darwinian evolution could be accommodated and even integrated into theology without interventionism, since God works immanently in and through the very processes of nature. In contrast, religious conservatives tended either to reject evolution as a whole or give it a limited acceptance with the proviso that the objective acts of special providence constitute divine interventions in nature.

The rise of neo-orthodoxy in the twentieth century

Protestant theology in the first half of the twentieth century was largely shaped by Karl Barth. In his rejection of nineteenth-century liberal theology, Barth returned theology to its biblical roots and focused it on the God who is “wholly other.” Recognizing that a religion founded exclusively on subjective experience is vulnerable to the critiques of Feuerbach and Freud, Barth and his followers held fast to the objective action of God in creating and redeeming the world. “The Gospel is . . . not an event, nor an experience, nor an emotion—however delicate! ... It is a communication which presumes faith in the living God, and which creates that which it presumes.” The ‘God who acts’ became a hallmark of the ensuing “biblical theology” movement which arose in the 1940s and 1950s. To many this movement seemed to offer a tertium quid between liberal and conservative theologies.

But do Barthian neo-orthodoxy and the biblical theology movement actually produce a credible account of divine action? On the one hand neo-orthodoxy attempts to distance itself from liberal theology by retaining biblical language about God acting through wondrous events and by viewing revelation as including an objective act. Yet on the other hand, it, like liberalism, accepts the modern premise that nature is a closed causal system, as depicted by classical physics. The result is that neo-orthodoxy seems to assert a contradiction: God does act objectively in nature (as conservatives believe) and God does so without intervening, violating, suspending or obstructing the ordinary processes of nature understood as a closed causal system (as liberals believe).

A third way between liberal and conservative theologies

Any purported “third option” will require an intelligible concept of objectively special providence which does not entail divine intervention. Such a concept could serve as a genuine tertium quid to conservative and liberal notions of special providence, combining strengths borrowed from each. Specifically, we will seek to speak about special divine acts in which God acts objectively in an unusual and particularly meaningful way in, with, and through events which serve to mediate God’s action. We will seek to do so without entertaining—in fact by refusing—the additional claim that God must intervene in, or at least suspend, the laws of nature. Those laws are themselves the result of and description of God’s continuous creation, after all. I call this type of divine action Non-Interventionist Objective Divine Action (NIODA).

In part 2 of this series, Tom Burnett will explore in more depth what Russell takes to be wrong with the Enlightenment concept of “supernatural intervention.” Part 3 will explain and clarify Russell’s theory of NIODA.

From Chapter 4, “Does ‘The God Who Acts’ Really Act? New Approaches to Divine Action In Light Of Contemporary Science,” in Cosmology: From Alpha to Omega by Robert John Russell, copyright © 2008 Fortress Press. Reproduced by permission of Augsburg Fortress Publishers. All rights reserved. No further reproduction allowed without the written permission of the publisher.

Many of the games I enjoyed playing involve a combination of strategy and randomness: card games of various sorts, backgammon, and board games like Monopoly and Parcheesi. Some games that rely exclusively on chance (like War and Candy Land) or too heavily on chance (like Sorry) quickly became uninteresting to me. In fact, for Sorry, War, and several other games, I introduced additional rules to change the balance of strategy and luck—for example, by allowing each player to hold a hand of cards rather than merely flip a card and follow its bidding.

When my children were young, I played many games with them, especially those involving some amount of chance. I always play to win, so games of pure strategy like chess gave me too great an advantage—at least when they were still young. I still remember the first time I played the German game Mitternachtspartie with my children and some of their cousins. The game uses a die on which the number 5 has been replaced with the image of Hugo the ghost. Each player rolls the die and moves one of his figures the specified number of squares, unless Hugo is rolled, in which case Hugo moves instead.

I quickly worked out the expected distance Hugo would move for each of my turns and the expected number of squares I would get to move my own figures each turn. Using that information, I could strategically place my figures in the opening portion of the game. I fully expected to win this first game, since my young children were going to have to learn from experience what I already knew by the mathematics of probability. I lost—badly. As it turned out, the die had two Hugos on it. So compared to my expectations, Hugo moved twice as often, and my figures moved slightly less far. That combination turned the carefully calculated positioning of my figures into a disaster.

From Fun and Games to Science

I still enjoy playing games, including games that involve chance. But these days I encounter randomness even more often in my profession. I was trained as a mathematician and now work at the intersection of mathematics, statistics, and computer science. Like many scientists, I use randomness on a daily basis as part of our toolkit for modeling and investigating all sorts of phenomena. Models known as stochastic models, which explicitly incorporate random components, often via simulation in computer software, are used to model everything from diffusion to genetics to quantum mechanics. Insurance companies and financial institutions use stochastic models to manage risk. If we include all the applications of statistics, then almost no area of science is untouched by the use of randomness.

Most of the time, scientists and game players alike don’t devote much thought to just what makes randomness tick. But they both know that the better they understand the probabilities, the more successful they are. Nevertheless, if you ask many of them what it means for something to be random, they may struggle to put it into words. I won’t try to give a precise definition either, but it is important that we have some idea what we are talking about, so let’s consider one of the prototypical examples of randomness: the tossing of a fair coin.

If I flip a coin, the result could be heads or tails. Until I flip the coin, I don’t know which it will be. In this sense, the coin toss is unpredictable. If the coin is fair, each result is equally likely, so while I cannot say in advance whether a particular result will be heads or tails, I can say something about a large number of flips: approximately half should be heads and the other half tails.

A little mathematics even allows me to determine a range around 50% in which the percentage will almost surely lie. For example, if I flip a fair coin 1,000 times, the percentage of heads will most likely be between 45% and 55% (where “most likely” means a 99% chance). If the percentage of heads lies outside this range—especially if it is quite far outside this range—I am going to be suspicious that the coin flipping process is not fair. That’s one of the key ideas in statistics: not only can we calculate the frequency with which an event occurs, but we can compare data to a stochastic model to see if they are compatible or incompatible.

There are several interesting things we can learn by considering a coin toss. First, probability calculations rely on assumptions. If the assumptions are incorrect, then the probability calculations will also be incorrect. For example, if the coin is biased (such as one that is heads 60% of the time), but we assume it is fair, then the probability calculations given above will be wrong. Of course, if the assumptions are not too far from correct, the results may still be sufficiently accurate for scientific conclusions. If we have an appropriate way to collect data, then we can test our assumptions by comparing data to projections made based on the assumptions.

Second, “random” does not imply “equally likely.” A fair coin should have equal probabilities of heads or tails, but a biased coin is no less random. It’s just different. It is not as simple to handle arithmetically as a situation in which all outcomes are equally likely, but it is not otherwise special. It is a common mistake to assume random events are equally likely when they are not (or when that assumption is not justified).

Third, randomness is about the process. It is a fun experiment to flip a penny 100 times, then spin a penny 100 times and record the side that is showing when it finally tips over, then to stand the penny on end (this takes a steady hand and a little practice) and record which side is showing after pounding the table. These are three different processes, and they do not yield the same results.

Fourth, random processes produce patterns. I sometimes ask my students to mentally flip a coin and record the results as a sequence of letters (e.g., “HTTHHTHT”). Then I have them actually flip a coin and record the results. If the sequences are long enough, I can almost always tell them which is which. The sequences imagined by the students tend to have too few runs of consecutive heads or tails. The sequences based on real coin flips usually include several heads in a row. People not familiar with randomness are often surprised at the patterns that result and assume that the process must not have been random when they perceive a pattern. Our eyes and minds are drawn to similarities and patterns—even those that are produced purely randomly. This can lead us to draw false conclusions from coincidences of all sorts.

Consider the image in Figure 1. It was constructed using a computer to randomly throw 300 darts at a square board. Every position on the board was equally likely to be hit by a dart. This does not, however, mean that the dots are evenly spaced. There are 100 smaller squares. The average is three dots per square. But your eye is likely drawn to some clusters and voids. My eye also catches a graceful downward swoop in the lower part of the upper left quarter. All of this is exactly what we should expect from this random process. If we repeated this experiment, we should expect similar results. Several of the smaller squares would be empty and some others would have two or three times the average number of dots, but these clusters and voids would appear in different places.

Finally, randomness can be used to produce patterns intentionally. Consider the two pictures in Figure 2. You may think the two pictures are identical, but they are not. However, they were each constructed using the same random process:

1. Start at the lower left corner of the big triangle.
2. Randomly choose one of the three corners of the big triangle.
3. Move half way to that corner, placing a dot at the new location.
4. Repeat steps 2 and 3, 50,000 times.

The first few steps of this process for each image are illustrated in Figure 3. Although the final images look very similar, the route taken to get there is very different. In fact, the only point the two images have in common is the starting point. As the creator of the program that generated these images, I knew full well that the result would resemble a fractal image known to mathematicians as Sierpinski’s Triangle, even though I did not know or exercise any control over how the individual points would be selected.

Despite our familiarity with children’s games and the importance of stochastic models throughout the sciences, many Christians have a reaction to randomness that falls somewhere between uneasy and antagonistic. And yet, those same Christians may well watch the evening news to learn about public opinion polls forecasting upcoming elections, take prescription drugs approved by the FDA based on statistics found in clinical trials, obtain electrical power from a nuclear power plant that uses random fission reactions, and insure their cars with companies that rely on stochastic models to set the rates. The foundation of each of these activities is a thorough understanding of randomness that begins with the simple description above.

So where does the uneasiness come from? Likely it comes from the feeling that taking randomness seriously means not taking God seriously. Or put more strongly, it comes from a fear that believing in randomness means not believing in God. Next week we’ll address that problem by asking the question, “Could God use randomness to achieve his purposes?”

In the 1950s, Cage began using various methods of “casting lots” to determine how elements of his music would be chosen and arranged—principally the Chinese system of I Ching. His controversial program was to distance himself from his own creative process, and he explored many additional strategies to transform the role of “creator” into one of “observer.” Most famous of these was his musical composition, “4.33,” which consisted of a pianist sitting at the instrument doing nothing at all for four minutes and thirty-three seconds, while musician and audience listened to the ambient sounds of the concert hall. Yet contrary to that main thrust of Cage’s work, a description of the activities during the week-long residency at the Mountain Lake Workshop where the New River Watercolor Series were made suggests that choice, constraint, and intention were integral and inescapable tools in putting randomness to work for creative ends.

Here’s art historian and theorist Howard Risatti’s description of Cage’s plan of action for the New River Watercolors, from the website of artist Ray Kass, who runs the Mountain Lake program and was Cage’s collaborator for his work there:

Following upon [a previous (1983) Mountain Lake workshop] “painting experiment,” stones collected from the New River were sorted into three groups according to size, which were separately numbered; numerous and varied brushes were divided into two separately numbered groups; likewise, feathers to paint with, colors and washes, and papers were also divided and numbered. In this way, chance procedures using pages of random numbers that were now generated by a computer program could be used to determine the specific materials utilized for each painting (e.g., which painting instruments, what type of paper and which colors, how many washes, which stones to paint around, where to locate the stones on the paper).

While this list enumerates all the specific variables that Cage and his team submitted to chance, there was an incredible level of personal engagement with the materials: Cage didn’t just show us drawings of where the I Ching said the rocks ought to be, he (or his assistants) placed them on the paper and used them as guides to paint around. Large custom brushes were constructed to lay on washes of color, and even the paints were hand mixed, combined, and diluted according to his desires.

Cage’s use of chance, then, was not a “hands off” process, but neither was it a matter of total control: Cage selected processes to create a space of play between himself and the materials he used: the feather between himself and the paper, for instance, introduced variability of resistance and spring, its ability to hold paint, the width of the line. All of these things were elements of material ‘freedom,’ areas in which Cage asked the stuff he used to make the paintings to take part in the process—to contribute its own identity to the intentional, purposeful, and determined work of creating “based on chance.” This should not be surprising, as all art, all creation that we can observe, happens as a dialectic between materials and the creator, and such engagement and interaction in no way lessons the purpose of making, the end in sight.

Kass’ book The Sight of Silence: John Cage’s Complete Watercolors, gives a much more complete account of the tools, processes, and interpersonal reactions between Cage, Kass, and the team of student assistants who helped at almost every stage of the creation of the works. The book goes to great length to honor Cage’s ideal of being present in but not controlling the outcomes (not least by nearly always putting words like “choice” in quotation marks), but the description of his process makes the centrality of Cage’s personal aesthetic and artistic motives inescapable, even more than his physical engagement. What comes through perhaps even more than the way Cage intended to allow chance to ‘guide the creative process’ is that way Cage, himself, not only set the parameters of the chance he allowed into the system, not only engaged directly with the materials during the process, but also exercised judgment over the results, both in process and at the end:

“Cage decided he didn’t want the images of the stones to overlap or go off the sides of the paper. To guarantee this restriction, he created conditions and rules to limit their possible placements.” (p. 51)

“For this single painting [Series IV, #1, pictured above] Cage chose to confine the images of the rocks to a lower area of the paper that represented the proportion of the “golden rectangle. . .” (p. 57)

“While “choice” established much of the work’s nature, “chance” highlighted the intrinsic nature of the materials to reveal a refreshing presence.” (p. 59)

“[H]e initially decided to remove [the first painting of Series III] from the group, and then, liking it more, changed his mind and returned it to the group that would be signed.” (p. 56)

This last note is particularly interesting in that it highlights the fact that Cage was claiming these paintings, naming himself as their author, and was attentive to which ones he approved of enough to call his own. There is no way around the fact that Cage was subjectively as well as objectively the maker of these works: the author of the procedures by which they came to be, but well as the judge (and sometimes redeemer) of the results. For Cage, randomness was a tool, no different than the brushes or rocks or paints is that its specific parameters were chosen at the outset, and always used within the context of his over-arching vision. Perhaps we may likewise think of God’s use of chance—constrained by and tuned to the material conditions he established at the birth of the cosmos—as a way to both engage with and allow freedom for the creation itself.

With any work of art it is reasonable to ask, “Is it beautiful?” or more tellingly, “Would I hang this on my wall?” Seeing Cage’s watercolors for first time without any knowledge of the process or the relative fame of Cage himself, some might be intrigued by the structure of the work (the proportions of the golden rectangle, the overlapping stone shapes, the colors of the paint) while others would be completely uninterested, perhaps even after hearing about how they were made and seeing them in the context of the rest of the New River Watercolor series. But if you had been there in the shop as an assistant, or even observer, if you had been party to the relationships that developed even over the few days Cage spent at the Mountain Lake Workshop, your sense of the beauty of these paintings (and perhaps even scraps of paper Cage used to try out brushes or washes), would take on a different meaning, in much the way we treasure the crayon drawings of our children not because they are spectacular art, but because they are tokens of our relationship.

I make that observation to emphasize one other aspect of Cage’s creative process: that Cage was the instigator first and foremost of relationships of creation. His process created not only paintings but the fellowship that developed as the work was being done. That social, interpersonal dimension is what gives the objects a depth of meaning beyond their material composition, and suggests the particular roles humanity has been given by God. One role is to join into the creative process as lesser, but not unimportant co-creators with him; the other is to observe, recognize and celebrate his activity in the world. Where some will see randomness as evidence of an absent God, our knowledge of this most personal and participatory aspect of creation points us to the God who is with us.

With God’s creation as with human art, we may (or may not) marvel at any one particular “work,” or even think the specifics of how it was made are interesting or attractive; but knowledge of and fellowship with the artist transforms our appreciation of the process as well as its results. When we know the maker, we come to recognize and treasure even the most “random” bits of his handiwork, and name them as his, nonetheless.

For Further Reading:

Ray Kass. The Sight of Silence: John Cage’s Complete Watercolors, 2011.

Website for John Cage Centennial Festival, Washington, DC. September 2012.



]]> Sun, 13 May 12 12:53:04 -0700 Mark Sprinkle http://biologos.org/blog/southern-baptist-voices-a-biologos-response-to-william-dembski-part-i?utm_source=RSS_Feed&utm_medium=RSS&utm_campaign=RSS_Syndication http://biologos.org/blog/southern-baptist-voices-a-biologos-response-to-william-dembski-part-i?utm_source=RSS_Feed&utm_medium=RSS&utm_campaign=RSS_Syndication We think that God created all living organisms, including humans, through the evolutionary process. But acceptance of creation through evolution does not mean that we reject the notion of a miracle-working God. On the contrary...

This ongoing series grew out of a conversation that Kenneth Keathley, the Senior Vice President for Academic Administration at Southeastern Baptist Theological Seminary and I had last year. We agreed that he would solicit a set of essays from scholars at Southern Baptist Seminaries who would specifically identify their concerns about what they perceive to be the BioLogos view of creation. In response to this request, Dr. William Dembski of Southwestern Baptist Seminary submitted the essay “Is Darwinism Theologically Neutral?” Although I do not consider my view Darwinian, I am sure that my view and that of others associated with BioLogos is perceived that way by some, so this gives me an opportunity not only to respond to his analysis, but to clarify my position on creation and how I think it is distinct from what Dembski calls “Darwinism."

God’s Activity in Creation

I will begin by summarizing my view of the nature of God’s activity in creation. I think that God created all living organisms, including humans, through the evolutionary process. Acceptance of creation through evolution does not mean that I reject the notion of a miracle-working God. On the contrary, I believe in the miracles of Scripture, and I believe that we’ve experienced God’s supernatural activity in our own lives. I stand in awe of a personal God whose activity is not constrained by natural laws, but also includes supernatural acts.

But what are the natural laws? Are not the the laws of nature simply a description of God’s ongoing and non-ceasing activity in the universe? The Law of Gravity, for example, is not something that God set up in the beginning, thereafter recusing himself from further involvement and exiting from the scene. Instead, the Law of Gravity works as it does because of the ongoing activity of God’s Spirit in the universe. So consistent is that activity that it can be described mathematically through scientific analysis. If God ceased to be active, however, then not only would the matter of this universe no longer function in a way which enables a mathematical description of gravity, matter itself would cease to exist. Paul, referring to Christ, writes “All things are created by him and through him.” Continuing, he goes on to state that “He himself is before all things and in him all things hold together” (Colossians 1:17). So he created in the beginning and, indeed, “…without him not one thing came into being.” (John 1:3) But it doesn’t end there: his ongoing activity is necessary for the universe to function. As the writer to the Hebrews declares “He sustains all things by his powerful word.” (Hebrews 1:4) The laws of nature, then, are simply a description of the ongoing activity of God which—because it is so consistent, dependable, and pervasive—points to the trustworthiness of God. Put another way, the activity of God is not restricted to that which we call the supernatural; it is all God’s activity. It is just that some aspects of God’s activity are so consistently repeatable that we can develop laws which describe the regularity of the divine activity which “holds” and “sustains” the universe. This latter type of activity is no less magnificent just because God does it continuously. Indeed, the Psalmist marveled at God’s natural activity and worshipfully reflected upon it.

On the other hand, the God we know through Scripture and personal experience also works in ways that are not mathematically predictable. We call this aspect of God’s action supernatural, and we seem to think of this facet of God’s work—this law-defying activity—as being more God-like. Indeed calling it super-natural suggests we think of it as God’s “turbo-charged” activity. But are not miracles simply a reflection of God choosing to work in a unique, non-customary manner to accomplish God’s purposes in God’s time? (See here for more detail.) When God works in this way, Scripture generally presents such activity in the context and purpose of God’s desire to enter into or renew a relationship with an individual or with a community of people. For example, God’s miraculous involvement in the lives of the elderly couple, Abraham and Sarah, led to the birth of their son, Isaac, and marks the beginning of God’s very special relationship with their descendents. God’s interaction with Moses through the burning bush initiated a new phase of God’s relationship with the Hebrew people as they moved out of slavery and back into the Promised Land. And of course, the supreme examples of miraculous activity are the incarnation, the empty tomb, and the resurrected Body. We worship a personal God whose desire for an ongoing loving relationship with humankind is first laid out in the early chapters of Genesis, but does not end there. In all divine activity—supernatural and natural—God is just being who God is: Creator, Sustainer, and loving Father. There are not two sets of activities, even though we label them “super” and “ordinary.” All are “super,” because all describe the activity of our supernatural God. Some are regular, predictable and ongoing, while other activities of God are not, for reasons often based in the fact that God is lovingly responsive and relational.

The Genesis narrative gives us no details about the mechanism by which God brought the universe and life into existence. God gave the charge: “Let there be lights in the dome of the sky..., “ “Let the waters bring forth…,” “Let the land bring forth…,” “Let the birds multiply…,” and, in response, we are told, it happened. Scripture does not explain how it happened, although as we read God’s other book—the book of nature—we see that God’s work extended over a long period of time. In these details, the Bible does not say whether the “bringing forth” was fulfilled through God’s natural activity (that which is regular, ongoing, and can be described by science) or God’s supernatural activity (that which is not regular and predictable). Given the many examples of supernatural activity in Scripture, we human beings tend to expect that for something as special as creation of stars or new species, supernatural activity would have been required. But we cannot derive this from the scriptural account and, therefore, it is wise not to second-guess how God might have worked based on the Scriptures.

Indeed, the distinction is softened by Scripture itself, which often speaks of God’s natural activity in ways that sound supernatural. For example, the Psalmist writes of God opening his hand to feed the living creatures (Psalm 104:28). We know how God does this and so did the Psalmist—he did it through natural means—but it was still God’s process and God’s provisions. Job speaks of thunder as being the voice of God (Job 40:9). We know God’s natural activity produces thunder and we can describe the laws that are responsible for it, but the fact that we know how it works certainly doesn’t negate the point being made in the book of Job. When the Psalmist describes the heavens as being the work of his fingers (Psalm 8:3), this does not negate astronomy’s description of the regular and ongoing processes that give rise to stars in God’s universe. Those processes are natural, but they are every bit as much God’s activity as if he were to take huge balls of matter and miraculously fashion sparkling stars with his hands.

Still, given that there is extensive supernatural activity exhibited in God’s interaction with Israel and in the life of Jesus, it is entirely possible that he did work supernaturally in fulfilling the creation command, as well. Even though the miracles described in the Bible primarily serve some theological or pastoral purpose that stems from God’s earnest desire to make his presence known and to deepen his relationship with humankind, we should reserve judgment about whether only God’s natural activity was responsible. It is not clear though, that supernatural activity would often be God’s chosen mode of action millions of years before humans had arrived. Thus, we should not assume with certainty that God would choose to use supernatural flurries of activity if his ongoing regular activity—that described through natural laws—would accomplish the same end, albeit over a longer period of time. For all we know, God may prefer slowness, even though we seem to be inclined to think that faster is better. After all, in the history of Israel and the church, God gave no new prophecy for 400 years before the coming of Christ, and it took the early church five centuries to come to a clear—albeit mysterious—understanding of the Trinity. Even now, two thousand years after Christ, we wait for his return.

In the next part, Darrel responds to Dembski’s lists of non-negotiables and clarifies how he sees BioLogos as different from “Darwinism”.

Today's video is courtesy of filmmaker Ryan Pettey, director/editor of Satellite Pictures and features physicist Ard Louis.

In today's video, Oxford physicist Ard Louis discusses the famous debate between renowned evolutionary biologists Stephen Jay Gould and Simon Conway Morris. Gould believed (and wrote in his book Wonderful Life) that if the "tape" of evolution were rerun, the chance that anything like human intelligence would emerge is essentially zero. In other words, humanity is here through random accident. Gould pointed to the work of Morris and fellow scientists in their research of the Burgess Shale as evidence for this view.

However, Morris himself disagrees, pointing to what is called evolutionary convergence. As Morris notes, there are numerous examples of identical features evolving multiple times throughout the history of life independently. Morris believes that if the tape of life were replayed, we would see something like humans emerge. A Christian might say, it looks like we were planned.

Some Christians might find Simon Conway Morris' viewpoint, with its implicit teleology, more attractive. Others, perhaps motivated by a high view of providence, may find Gould's emphasis on contingency equally congenial to their faith. What do you think?

In our previous essay, we learned that a tree summarizing species relationships can be built using DNA information, and how we can use DNA as a “molecular clock” to date ancient events. Both of these methods have made specific predictions about the origin of whales. If evolution is true: whales are related to the even-toed hoofed mammals and should share common ancestors with them; transitional fossil forms dating from about 45 to 50 million years ago should be found which can be shown to be related to both the even-toed hoofed mammals and modern whales; whales are most closely related to modern hippos, and should share a common ancestor with them.

What other types of information might we be able to use to construct a phylogenetic tree (i.e. a family tree) of species relationships? It turns out that characteristics of body structure also can be used – for example, the presence or absence of certain bones, or the specific shapes of those bones. An advantage of using bony features is that they can be recovered from fossils, whereas DNA (with only certain limited exceptions) must come from living organisms.

We can also derive functional information from an examination of bony features. The various protrusions, bumps and knobs found on bones usually have important implications. For example, smooth rounded areas at the ends of bones allow them to fit together and move easily. The shapes of such surfaces determine which bone motions are “allowed” or “disallowed”. Consider, for example, the motion of the forearm against the upper arm at the elbow. This is a “hinge” joint, whose normal motion is defined by the shapes of the upper arm bone and one of the forearm bones, where they meet each other. You might normally exercise the action of this hinge joint when you pick up a cup of coffee, bring it to your mouth, then set it back down again. Let’s try to imagine another motion. For this exercise we first need to get our arm into the proper starting position. Place your arm at your side, bent at the elbow at a ninety degree angle, with your palm up. Now, while keeping your palm up, let’s attempt to move your arm only at the elbow (no shoulder motion – that’s cheating!). Now swing your forearm out to the side and attempt to end up with your fingers pointed directly away from your side. Most of you will not be able to do this. If you can, it’s because your shoulder is rotating in spite of yourself. This motion at the elbow is normally not allowed. Hence a careful analysis of bone shapes can allow us to infer how the bones were used. This in turn can assist us in the task of phylogenetic (evolutionary) classification of organisms. That is, we will have more confidence in the grouping together of animals in our tree diagram if corresponding bones are used functionally in the same way.

Therefore we would expect that we could use various bony features to help us examine the predictions generated by our previous look at different types of DNA data. Are there any bony features that are particularly relevant to the even-toed hoofed mammals? Well, it turns out that there are. These are mainly running animals, and there are several features of their ankle bones, which taken together define the “allowed” motions which make them efficient runners. If one takes the various ankle bones of a large group of mammals, examines them carefully to note their shapes, scores that information into a table, then uses a computer program to build a phylogenetic tree, it turns out that all the even-toed hoofed mammals are placed together. So far, so good. But what about whales? Well, now we have an obvious problem. Modern whales are very specialized, - they have flippers which correspond to the forelimbs, and they have almost no hind limbs! I say “almost” because they do have small pelvic bones, which are not attached to the rest of their skeletons. But they certainly have no ankles. This is where the fossils should come in – if evolution is true, we should expect to be able to identify transitional fossils which are ancestral to whales which contain the characteristic ankle bony features of the even-toed hoofed mammals.

Now let’s look at bony features from the whale perspective. We have already mentioned the almost complete loss of hind limbs, and the presence of forelimbs modified into flippers. In addition, as air breathers, whales have a blowhole at the top of their skull. And as powerful swimmers, which use a large tail fluke in vertical motions, whales have enormous sets of muscles which attach to enlarged projections from their vertebral column. So if evolution is true, we should begin to see fossil forms which manifest changes in bony features which correspond to the gradual accumulation of these whale-like characteristics. However, we still need more, because these various bony features all would be expected to occur in largely or exclusively aquatic forms. We might expect this to correspond to the later stages of a transition from terrestrial even-toed hoofed mammals. But what about the earlier stages? It would be very helpful if we had some “defining” characteristic of whales, similar to the ankle structure of even-toed hoofed mammals.

It turns out that the structure of the bones of the skull and ear apparatus of whales are highly modified to allow efficient hearing underwater. The mechanical aspects of efficiently receiving sound through water are somewhat different than receiving sound travelling through air. If evolution is true, we should expect to be able to find key transitional fossil forms with a progressive series of modifications of the skull and ear bones, features which would not be found in any other mammals.

Now that we know what we should expect to see, if evolution is true, let’s look at what has actually been found in the fossil record. Over the last fifteen years or so, a series of fossils, many of them discovered in the Indian subcontinent, have fulfilled nearly all of our predictions.^1,2 Let’s look at the figure below (Figure 1), reproduced from a recent popular book on evolution.³ This shows a series of fossils, arranged in approximate chronological order, with a modern whale at the top. How old are these fossil forms? The entire fossil progression illustrated occurs from a little over 50 million years ago to about 40 million years ago. So a remarkable alteration in general body form occurred in a little over 10 million years. This time frame agrees well with the previous prediction from the DNA “clock” that we discussed in our previous essay. Second, the general change in body shape corresponds to what we predicted in our discussion of whale bony features above. That is, there is a gradual elongation and streamlining, there is a modification of the forelimb into flippers and progressive reduction of the hindlimb, the nostrils for breathing move toward the top of the skull to form a blowhole (not obvious from the diagram), and the vertebrae develop enlarged projections to support the attachment of swimming muscles.

Figure 1: Skeletons and Body Forms of Modern Whales and Fossil Ancestors
The reconstructed skeletons (black) from modern whales (top) and various ancestral skeletal forms (series below) are in chronological order (from Pakicetus up). Indohyus is an extinct whale “cousin”. Relative body size, to scale, is indicated by the gray shapes at the right of each animal.

There is probably little question that the last fossil species in the figure (Durodon) is well on the way to becoming a modern whale. However, it might be argued by a skeptic that the earlier species (like Rhodocetus, Ambulocetus, or Pakicetus), despite the “cetus” (whale) part of their names, are not so obviously “whale-like” that they deserve to be considered as fossil whale ancestors. However, remember the characteristic whale skull modifications for hearing? It has been shown very clearly that throughout this series of fossil species, the various bony changes necessary to support efficient hearing in water were being acquired in a stepwise fashion. Organisms earlier in the sequence had skeletal characteristics consistent with them being able to hear well in both air (using the “classic” mammalian hearing apparatus), and newly acquired changes to also allow better hearing in water. Later organisms in the sequence become increasingly specialized for hearing in water only.⁴

What of the earliest fossil shown in this diagram –Pakicetus? Careful examination shows that it has the features we would predict for an early whale ancestor. It has the ankle bone characteristics of the even-toed hoofed mammals (in fact these features are also found in several of the later fossil forms as well, ensuring their continuity). This confirms one of the predictions made by the DNA evidence we discussed earlier. Furthermore, it has some of the modifications of the skull bones necessary for more efficient underwater hearing, which were previously documented only for modern whales and their later (more obvious) ancestors.⁴ These features are also shared with the “whale cousin” Indohyus.⁵ Preservation of more of the skeleton of this latter species has allowed detailed analysis indicating characteristics likely shared with whale ancestors. Indohyus was probably a wading animal, which spent much of its time in the water. It appears to have fed mostly on land, so it is suggested that resort to the water was made to escape predators.⁵

Finally, we need to look back at the last prediction from our previous DNA evidence, namely that modern whales are most closely related to hippos. If evolution is true, we should expect to find fossil forms linking these two modern groups. This has proven to be a tougher nut to crack, mainly because the ancestral whales first appear about 50 million years ago in what is now south Asia, and the hippo family first appears about 15 million years ago, in Africa. The most recent tree diagram, produced by using a combination of skeletal features and DNA data, still supports this family connection, as shown by the following figure (Figure 2).⁶

Figure 2: Phylogenetic Tree Showing the Relationship of Modern Whales to Living and Extinct Even-Toed Hoofed Mammals
This tree is based on both bony features and DNA data. The organisms presented in blue are semi-aquatic or aquatic forms. Organisms shown in green are terrestrial even-toed hoofed mammals (Artiodactyls). In black is shown a member of the odd-toed hoofed mammals. In red is an extinct fossil ancestor group. (This figure is adapted from Fig 1a in Reference 6).

The blue lines in the diagram show species in which the skeleton is specially thickened, and the bone structure more dense. This is an adaptation which allows wading animals (like modern hippos and the fossil Indohyus) to be good “bottom-walkers” (it prevents them from floating due to lighter body tissues), and allows fully marine organisms (like modern whales) to have “neutral buoyancy” (so they don’t always tend to pop up to the water surface, like a cork). There has also been progress in clarifying the relationships between fossil ancestors of hippos and those of modern whales. A recent study of hippo evolution, based only on skeletal characteristics, has conclusively shown that the hippo family are descended from an extinct group of fossil Artiodactyls, known to go back more than 40 million years, and whose fossils are from southern Asia. Furthermore, this study produced a phylogenetic tree predicting that this extinct hippo ancestor group also shared a common ancestor with the fossil whales.⁷ Thus the investigation of hippo origins is independently leading us back toward the origin of whales. However, in this study the statistical support for predicted common ancestor of the ancient hippo group and the ancient whale group is not as strong as scientists would like to consider this “case closed”. What is necessary is more fossils, of the appropriate age in order to complete the story of hippo evolution. We still need that to fill in the details of the predicted relationship of hippos to modern whales.

Thus the “Whales’ Tale” is not yet complete. It is a story of scientific discovery in progress. As we finish, let’s briefly summarize what we have found out. Different types of DNA evidence agree that modern whales are most closely related to the even-toed hoofed mammals, despite the obvious great changes in limb anatomy of the modern whales. This prediction has been amply confirmed by the fossil record. The DNA sequence evidence predicted a time frame during which critical early events in evolution of whale ancestors should occur. This prediction has also been amply confirmed. Finally, DNA evidence predicts that modern whales are most closely related to hippos. There is some fossil evidence supporting a predicted common ancestor, but more data is needed. A final caution to possible sceptics – this state of “unfinished business” is precisely how the scientific process works. There is no “crisis”. There is no indication that evolution is not true. There is simply the ongoing work of mapping out of various lines of evidence. A scientific conclusion is considered well supported if “all roads lead to Rome”. In the case of whale evolution it might be prudent to say that the evidence has not quite converged in Rome yet, but that we are now in the suburbs. That is precisely what makes science interesting and fun. Stay tuned!

The next blog in this series can be found here.

References:

1: Thewissen J.G.M., Williams E.M., Roe L.J. and Hussain S.T. 2001. Skeletons of terrestrial cetaceans and the relationship of whales to artiodactyls. Nature. 413: 277-281.

2: Gingerich P.D., ul Haq M., Zalmout I.S., Khan I.H., Malkani M.S. 2001. Origin of Whales from Early Artiodactyls: Hands and Feet of Eocene Protocetidae from Pakistan. Science. 293:2239-2242.

3: Coyne, J.A. 2009. Why Evolution is True. Viking Penguin, New York. Pg 50.

4: Numella S., Thewissen J.G.M., Bajpai S.,Hussain T., Kumar K. 2007. Sound Transmission in Archaic and Modern Whales: Anatomical Adaptations for Underwater Hearing. The Anatomical Record. 290:716-733.

5: Thewissen J.G.M., Cooper L.N., Clementz M.T., Bajpai S., Tiwari B.N. 2007. Whales originated from aquatic artiodactyls in the Eocene epoch of India. Nature. 450:1190-1194.

6: Geisler J.H. and Theodor J.M. 2009. Hippopotamus and whale phylogeny. Nature. 458:E1-E4.

7: Boisserie J.-R., Lihoreau F., Brunet M. 2005. The position of Hippopotamidae within Cetartiodactyla. Proceedings of the National Academy of Sciences U.S.A. 102(5):1537-1541.