Here I want to clarify a few misconceptions about randomness before moving on, in future posts, to describing other biological processes that make use of it.

Misconception #1

Randomness is like “God of the Gaps”. With time, advancements in science will allow us to make accurate predictions in previously “random” systems.

Isaac Newton’s famous three laws of motion, described in his 1687 classic Principia Mathematica, have empowered physics students for centuries. Using these and Newton’s universal law of gravitation, you can predict the trajectory of everything from pool balls to planets. By the early nineteenth century, the idea of a “clockwork universe” was firmly established, and scientists believed that with time, science would be unlimited in its predictive power.

Although it could be true that we live in a “clockwork universe,”¹ two developments in the twentieth century shattered our hopes of having a fully predictable universe. The first was quantum mechanics, which describes how things work at an extremely small scale. One of the major discoveries in quantum mechanics was Werner Heisenberg’s “uncertainty principle,” which holds that the more certain one is about the location of a particle, the less certain in principle one can be about its momentum, and vice versa. At the quantum level, then, our predictive powers are ultimately limited.

Another discovery that destroyed all hope for a fully predictable universe was chaos. Mathematically chaotic systems are those which are extremely sensitive to changes in their initial conditions. Even fully deterministic systems can exhibit chaotic behavior and act in unpredictable ways. Consider a famous function, the logistic map²:

I know equations make people nervous, but stay with me! This one does some fascinating things. Here’s how it works: start with some initial value for x at time t = 0, and plug that in for x(t). Let’s start with = 0.2. R is just some constant value; let it be 2. Now we use the function to calculate the outcome in the next time step, t = 1:

We can use this value as input for the next step, and repeat this process over and over to find the output at each time point.

What happens? The answer is plotted in the figure below on the left. If we follow along the x-axis, which represents time, we see that the value of x goes toward 0.5 and stays there forever.

What if we start with the same , but increase R to 3.1? Following the same process as before, we get a very different result! The middle graph shows that the outcome oscillates between two values over time.

If you make R = 4, the function does something very strange. In the right-most plot, the function still fluctuates up and down, but it begins to look irregular. And if we change the initial condition, , just slightly, from .20 (blue solid line) to 0.2000000001 (red dotted line), we see they are virtually the same until somewhere around t = 14. After that point, they exhibit completely different behavior.

Several observations can be made here. First, the same equation can produce three different classes of behavior, simply by changing R and . These classes are called fixed-point (left), periodic (middle), and chaotic (right). Below the values of R that lead to chaos, the system is not sensitive to the initial value of . Over time, the system will either become a flat line or oscillate.

When R is greater than approximately 3.569946, however, the system becomes chaotic, and the outcome is extremely sensitive to changes in the initial value of . What this means is you would have to know the value of to infinite precision to predict its long term behavior. Since this is impossible in any kind of real-world application, the detailed behavior of a chaotic system is impossible to predict.

If this is true even for a simple, completely deterministic equation, how much more difficult is it to predict the behavior of a more complicated chaotic system, like a hurricane! Even the poor weathermen here in San Diego get it wrong sometimes, and the weather here doesn’t change very much.

So, between the uncertainty principle in quantum mechanics, and the sensitivity of chaotic systems, we now know that we are fundamentally limited in our predictive power––not just temporarily. Whether the systems we study are truly indeterministic is another (interesting) question, which of course has implications for divine action.

Misconception #2

Randomness means anything can happen, and all possibilities are equally likely.

People often think randomness means the outcome is completely open-ended, but you can’t roll a 7 on a 6-sided dice, nor draw a red marble from a bag of blue ones. Even random processes function according to rules. (The logistic map in the last section is another good example.)

Sometimes, the word random is used to mean unbiased. If you want to know who will win a political election, you make sure to poll a random sample of people, not just those hanging around a Tea Party rally. But the word random doesn’t have to mean that all possibilities are equally likely. When maternal and paternal chromosomes get together during conception, they exchange long sequences of DNA in a process called recombination. We now know that recombination happens more often in some places of the genome than others, but the specific sites where it will occur in a given embryo are impossible to predict. So recombination is random in the sense that it is unpredictable, but not in the sense that all outcomes are equally likely.

Misconception #3

Randomness always leads to disorder.

On the contrary, randomness often leads to exquisitely ordered and complex outcomes. In my next post, we'll watch a simulation of viral self-assembly from individual proteins bouncing around in a jar. You could repeat the simulation a thousand times and always get the same result, even though the particular assembly pathway would look different each time. That is, if the starting materials are present and the conditions (temperature, pH, etc) are right, you will always get a beautiful, highly symmetric virus. Random motion is the mechanism used to search “solution space” for a favorable outcome.

Fractals provide another great example of patterns emerging from randomness. Fractals are chaotic patterns with the same basic property: no matter how much you “zoom in,” the overall structure is maintained. Clouds, trees, crystals, and snow flakes are naturally-occurring fractals.

You can construct a fractal like the Sierpinski triangle shown at left by rolling a die and following simple rules.³ If 100 people in a room independently rolled a die 100 times and followed the rules, they would all have different sequences of rolls, but all would end up with the same pattern!

Thus, for many random processes, the fine details may be unpredictable along the way, but the macro-level outcome is foreseeable.

Summary

“Randomness,” when taken to mean unconquerable unpredictability, is inherent in many processes created by God, from hurricanes to viral assembly to genetic recombination to antibody production. Randomness means that the details of the future are unpredictable, and will stay that way regardless of scientific progress. That said, randomness is constrained by rules and often leads to complex patterns and macro-level order. More misconceptions about randomness no doubt lurk in all our minds, leading to suspicion when we hear phrases like, “evolution is random.” But hopefully, this post can help to clarify some of the confusion.

Notes

1. Philosophers of physics still debate whether there is some underlying deterministic structure to the universe, or whether events at the quantum level are indeterministic. See http://plato.stanford.edu/entries/determinism-causal/#QuaMec. In either case, we are fundamentally limited in our ability to make predictions about the outcomes of quantum events.
2. The logistic map is one of the best-studied equations in dynamical systems theory. The particular values used in the figure were taken from Melanie Mitchell’s excellent book, Complexity: A Guided Tour, and were created using MATLAB.
3. Thanks to Isaac Yonemoto for pointing this out.

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!

In my previous essay, I discussed “Darwin’s finches” and how surprisingly little Charles Darwin himself had to say about them. In fact, it was actually the British ornithologist David Lack (1910-1973) who conducted the critical research that immortalized the finches in biology textbooks and popular lore. In 1973, the eminent German zoologist Ernst Mayr wrote:

Already well known among professional ornithologists, his work on the Galapagos finches gave David Lack world fame… There is no modern textbook of zoology, evolution or ecology which does not include an account of his work.¹

Ernst W. Mayr

Decades have passed since Mayr wrote these words, and David Lack’s name has largely faded from public discourse. On the other hand, the Galapagos finches have become one of the most recognized symbols of evolution in the world today. Does it really matter whether Lack or Darwin gets credit for describing the evolution of these remarkable birds?

Insofar as evolutionary theory contrasted with religious belief, it makes a big difference. In a culture that is eager to equate evolution with atheism, it should come as no surprise that these birds are only known as “Darwin’s finches”. Darwin’s personal struggles and ultimate rejection of Christianity are well documented, and people are eager to link his loss of faith to his evolutionary theory. David Lack, on the other hand, began his scientific career as an agnostic, but shortly after publishing his famous book on the evolution of Galápagos finches, he converted to Christianity! ²

A Christian at the forefront of evolutionary biology

Lack’s Christian conversion did not mark the end of his scientific achievements, either. In fact, he continued as a prolific researcher until just weeks before he died. Among his many achievements, he was Director of the Edward Grey Institute of Field Ornithology (1945-1973), Fellow of the Royal Society, and President of both the International Ornithological Congress (1962-66) and the British Ecological Society (1964-65). His fellow scientists held him in great esteem:

He was described as one of the most outstanding among world ornithologists; he was certainly this, but he was also one of the world’s leading evolutionists. All the time one saw developing his use of birds as material for the study of wider, deeper, biological problems.³

David Lack at the International Ornithological Congress, 1962.

Clearly David Lack was an outstanding scientist, and his commitment to Christianity did not tarnish, hinder, or undermine his research on evolution. But we might also ask, what was Lack like as a Christian? Did he keep his faith hidden from view, afraid that it might compromise his reputation as a scientist? Ernst Mayr, who interacted with David Lack professionally and personally for nearly 40 years, had this to say:

I have known only few people with such deep moral convictions as David Lack. He applied very high standards to his own work and was not inclined to condone shoddiness, superficiality and lack of sincerity in others. This did not always go well with those who preferred to compromise in favour of temporary expediency. David had been raised in an environment in which great stress was layed on moral principles and this attitude was later reinforced by his Christian faith. This explains his extraordinary unselfishness and modesty, and his great devotion to his family, to his students, to his friends, and to all the things that he lived for. The equanimity, indeed serenity, with which he faced death after his terminal cancer had been diagnosed is further evidence of the strength which his faith gave him.⁴

Like Asa Gray⁵ before him, and Francis Collins⁶ after, David Lack was an sincere, devout Christian, as well as a leading scientist who employed evolutionary theory to make brilliant discoveries about the natural world. Though Lack did not see any conflict between his scientific and Christian beliefs, he was sympathetic to the concerns of his fellow Christians. Therefore, ten years after publishing his masterpiece on Darwin’s Finches, Lack wrote another book entitled Evolutionary Theory and Christian Belief: The Unresolved Conflict.

Originally published in 1957, this book deals with the very same science and faith questions that Christians struggle with today— topics like randomness and chance, death in nature, miracles, and evolutionary ethics. While it would be unreasonable to expect anyone to completely resolve these matters, Lack offered numerous insights both as a devout Christian and one of the world’s leading biologists.

Let’s take a brief look at how Lack addressed some of these questions.

Blind Chance or Divine Plan?

Evolutionary theory does not invoke supernatural forces in explaining the history of life on Earth; instead, it relies on naturally-occurring processes to account for the vast diversity of life. Additionally, it explains animal behavior largely in terms of survival and reproduction, without appealing to any higher purpose of life. Taken together, does this imply that God is absent, and that our lives are ultimately meaningless?

David Lack responded,

Behind the criticism that Darwinism means that evolution is either random or rigidly determined lies the fear that evolution proceeds blindly, and not in accordance with a divine plan. This is another problem that really lies outside the terms of reference of biology. It is true that biologists have inferred that, because evolution occurs by natural selection, there is no divine plan; but they are being as illogical as those theologians whom they rightly criticize for inferring that, because there is a divine plan, evolution cannot be the result of natural selection.⁷

When rendering judgment on the ultimate meaning of life, biologists are speaking from their person beliefs, not from scientific authority. Moreover, Lack pointed out that many science enthusiasts have employed the concept of “randomness” in ambiguous and misleading ways:

Mutations are random in relation to the needs of the animal, but natural selection is not. Selection, as the word implies, is the reverse of chance.⁸

In support of his view, Lack pointed out that convergent evolution has produced uncanny resemblances between distantly-related species across the world, notably among marsupials in Australia. Different evolutionary trajectories can lead to very similar results.⁹

Death in Nature

After addressing concerns about the seeming “randomness” of evolution, Lack turned to another great concern, the role of death in natural selection:

Various writers–some Christian and others agnostic–have been troubled about natural selection not only because it seems too random, but also because it is so unpleasant.¹⁰

Image courtesy John Marsh Photography via Flikr

Genetic mutations are generally harmful, and for evolution by natural selection to produce new forms of life, an awful lot of organisms must die. For many Christians, it is inconceivable that a loving and merciful God would allow death on such a vast scale.

But Lack also pointed out that rejecting evolutionary theory doesn’t actually get rid of the problem of death. Regardless of what we think about evolution, the brute fact of mass extinction remains. Fossils of innumerable animals, plants, and microorganisms clearly demonstrate that the vast majority of species that have ever lived are now dead. It may be quite troubling for us to observe that our planet is a giant graveyard of natural history, but rejecting evolution will not change this fact.

Some Christians conclude that death could not have been part of the divine plan; instead, it must be the work of the devil, or the result of human sin. But this interpretation contains an implicit assumption that death is always evil. Is this really true? David Lack offered two intriguing insights:

Blue-cheeked Bee-eater (Merops persicus) pair in
courtship, seen in Basai, Gurgaon, India.
Image courtesy Koshy Koshy.

1. For a population to maintain a stable size, all births must be balanced by a corresponding number of deaths. A world in which no animals die is a world in which no animals are born. That means no reproduction, no courtship, and by implication, no singing birds—much to the dismay of ornithologists and people in love!

2. Some people, taking cues from Isaiah 11:6-7, suppose that in a perfect world, animals only eat plants. But in fact, plants themselves depend on the bacterial decay of dead organisms. If animals didn't die, then essential nutrients would disappear from the ground, and plants could not continue to grow. Eventually, there would be nothing left for animals to eat, and all life would cease.¹¹

Miracles

Many Christians are uncomfortable with evolutionary theory because it denies a miraculous, supernatural origin of life. They fear that if those miracles are denied, it might lead people to reject the possibility of miracles altogether, including the central feature of the Christian faith—the resurrection of Jesus from the dead.

As a devout Christian, David Lack certainly affirmed the fundamental tenets of the gospel. But at the same time, he explained to his readers that invoking miracles to account for unusual features of the natural world is not particularly helpful when trying to deepen our understanding of God’s great multitude of creatures:

[The biologist's] research depends on repeated observations. It need not, as popularly supposed, consist solely, or even mainly of measurements and experiments, but unless events are repeated, they cannot be assessed by science. Hence truly unique events come outside the domain of science, though biologists are not usually convinced when told they must, therefore, leave such problems as miracles to others. For one of the chief ways in which research has advanced is through the discovery of apparent exceptions to the known rules, and if further study shows the exceptions to be replicable, new regularities are revealed from which modified rules can be propounded. This method has been so successful that the biologist tends to doubt whether there are any types of irregularity, or seeming irregularity, that will not yield to it.¹²

But just because a scientist cannot repeat a particular event doesn’t mean it didn’t happen. Both natural history and human history contain unique events that only happened once. As we peer into the past, the difficulty of discerning fact from fiction inspires us to further investigate the mysteries that surround us.

Conclusion

David Lack’s book Evolutionary Theory and Christian Belief was quite insightful, but his enduring achievements took place in evolutionary biology, a place where many Christians are afraid to tread. While it is significant that he himself found no contradiction between his faith and his science, perhaps the greatest testament to the compatibility between Christian faith and evolution is the life he led as a believer in both. As we saw in Ernst Mayr’s candid praise, Lack reflected the light of Christ through both his personal and his professional relationships.

Today, many voices in our culture still insist that evolution is incompatible with a sincere faith in Jesus, but a careful look at history demonstrates otherwise. In the future, perhaps more people of faith will have confidence to study biology knowing that one of the most iconic symbols of evolution—the Galapagos finches—owe their fame in large part to a devout Christian named David Lack.

Notes

1. Mayr (1973) “David L. Lack.” Ibis: 433.
2. Larson, E. J. Evolution's Workshop: God and Science on the Galapagos Islands. New York, Basic Books, 2001: 218. See also Lack, David. (1973) “My life as an amateur ornithologist.” Ibis: 431.
3. Alister C. Hardy (1973). "David L. Lack." Ibis: 436.
4. Mayr (1973) “David L. Lack.” Ibis: 433.
5. For more about Asa Gray, see the BioLogos FAQ “How have Christians responded to Darwin’s Origin of Species?”
6. See Francis Collins’ autobiography The Language of God: A Scientist Presents Evidence for his Belief (New York: Free Press, 2007) (book info)
7. Lack, David. Evolutionary Theory and Christian Belief: The Unresolved Conflict. Methuen & Co., 1957: 67.
8. Lack, p65.
9. For more on convergent evolution and the possibility that evolution could be compatible with some form of divine purpose, see the work of Simon Conway Morris, especially The Deep Structure of Biology: Is Convergence Sufficiently Ubiquitous to Give a Directional Signal? Templeton Press, 2008.
10. Lack, p72.
11. Lack, pp75-76.
12. Lack, p82.

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.

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/fearful-symmetries?utm_source=RSS_Feed&utm_medium=RSS&utm_campaign=RSS_Syndication http://biologos.org/blog/fearful-symmetries?utm_source=RSS_Feed&utm_medium=RSS&utm_campaign=RSS_Syndication Perusing the writings of atheistic scientists and philosophers like Daniel Dennett, one could easily get the impression that arriving at a simpler explanation for something equates to a revelation that things are “lower, cruder, and more trivial.” In his essay Fearful Symmetries, published in the October 2010 issue of the journal First Things, physicist Stephen Barr offered a critique of the modern tendency to make the investigative strategy of reductionism into a “metaphysical prejudice.” It is a mistake, he says, to take the extraordinary success of the scientific practice of looking at things in smaller and simpler parts as proof that “the further we push toward a more basic understanding of things, the more we are immersed in meaningless, brutish bits of matter.”

Perusing the writings of atheistic scientists and philosophers like Daniel Dennett, one could easily get the impression that arriving at a simpler explanation for something equates to a revelation that things are “lower, cruder, and more trivial.” But at the heart of Barr’s critique is the observation that in fundamental physics and advanced mathematics, “simpler” does not mean more chaotic and inchoate, but rather more elegant and beautiful. Those who hold to a philosophical reductionism “overlook the hidden forces and principles” that govern the processes of cosmic evolution.

Barr’s article lays out the way that the work of scientists and mathematicians exploring the fundamental principles of physics (from Kepler to Einstein to those currently running the Large Hadron Collider in Switzerland) actually suggests “that order does not really emerge from chaos, as we might naively assume; it always emerges from greater and more impressive order already present at a deeper level.” This excerpt gives his first example, the starting point from which he guides us into strangely beautiful world of particle physics, and towards the discovery that “matter, although mindless itself, is the product of a Mind of infinite profundity and infinite simplicity.”

Fearful Symmetries

“Let’s start with a simple but instructive example of how order can appear to emerge spontaneously from mere chaos through the operation of natural forces. Imagine a large number of identical marbles rolling around randomly in a shoe box. If the box is tilted, all the marbles will roll down into a corner and arrange themselves into what is called the “hexagonal closest packing” pattern. (This is the same pattern one sees in oranges stacked on a fruit stand or in cells in a beehive.) This orderly structure emerges as the result of blind physical forces and mathematical laws. There is no hand arranging it. Physics requires the marbles to lower their gravitational potential energy as much as possible by squeezing down into the corner, which leads to the geometry of hexagonal packing.

At this point it seems as though order has indeed sprung from mere chaos. To see why this is wrong, however, consider a genuinely chaotic situation: a typical teenager’s bedroom. Imagine a huge jack tilting the bedroom so that everything in it slides into a corner. The result would not be an orderly pattern but instead a jumbled heap of lamps, furniture, books, clothing, and what have you.

Why the difference? Part of the answer is that, unlike the objects in the bedroom, the marbles in the box all have the same size and shape. But there’s more to it. Put a number of spoons of the same size and shape into a box and tilt it, and the result will be a jumbled heap. Marbles differ from spoons because their shape is spherical. When spoons tumble into a corner, they end up pointing every which way, but marbles don’t point every which way, because no matter which way a sphere is turned it looks exactly the same.

These two crucial features of the marbles—having the same shape and having a spherical shape—should be understood as principles of order that are already present in the supposedly chaotic situation before the box was tilted. In fact, the more we reduce to deeper explanations, the higher we go. This is because, in a sense that can be made mathematically precise, the preexisting order inherent in the marbles is greater than the order that emerges after the marbles arrange themselves. This requires some explanation.

Both the preexisting order and the order that emerges involve symmetry, a concept of central importance in modern physics, as we’ll see. Mathematicians and physicists have a peculiar way of thinking about symmetry: A symmetry is something that is done. For example, if one rotates a square by 90 degrees, it looks the same, so rotating by 90 degrees is said to be a symmetry of the square. So is rotating by 180 degrees, 270 degrees, or a full 360 degrees. A square thus has exactly four symmetries.

Not surprisingly, the hexagonal pattern the marbles form has six symmetries (rotating by any multiple of 60 degrees: 60, 120, 180, 240, 300, and 360 degrees). A sphere, on the other hand, has an infinite number of symmetries—doubly infinite, in fact, since rotating a sphere by any angle about any axis leaves it looking the same. And, what’s more, the symmetries of a sphere include all the symmetries of a hexagon.

If we think this way about symmetry, careful analysis shows that, when marbles arrange themselves into the hexagonal pattern, just six of the infinite number of symmetries in the shape of the marbles are ex-pressed or manifested in their final arrangement. The rest of the symmetries are said, in the jargon of physics, to be spontaneously broken. So, in the simple example of marbles in a tilted box, we can see that symmetry isn’t popping out of nowhere. It is being distilled out of a greater symmetry already present within the spherical shape of the marbles.”

In the full essay, Barr gives a richer description of how this most basic kind of symmetry is just one sort of order, and how even this form points to other much more complex kinds of symmetry whose properties may be described only through the tools of complex mathematics. As he says, “the symmetries that characterize the deepest laws of physics are mathematically richer and stranger than the ones we encounter in everyday life.” But even more important than the fact that such mathematical concepts exist and are beautiful, more important even than the way such esoteric mathematical symmetries have suggested imminently practical experimental projects, is the way they point to a universe that is anything but brutish and trivial, though its elegance may be hard to see:

“It is true that the cosmos was at one point a swirling mass of gas and dust out of which has come the extraordinary complexity of life as we experience it. Yet, at every moment in this process of development, a greater and more impressive order operates within—an order that did not develop but was there from the beginning. In the upper world, mind, thought, and ideas make their appearance as fruit on the topmost branches of an evolutionary tree. Below the surface, we see the taproots of reality, the fundamental laws of physics that shimmer with ideas of profound simplicity.”

This essay appears with the permission of First Things. To read Barr’s complete essay, please click here.

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?

"Reply the tape a million times ... and I doubt that anything like Homo sapiens would ever evolve again" (Stephen Jay Gould from "Wonderful Life", 1989 p. 289, Harvard University Press.).

With his standard panache, the late Harvard paleontologist Stephen J. Gould argued strenuously that evolution had no inherent directionality. It was a cosmic crapshoot - in no way destined to produce anything complex, self-conscious or human. We are mere accidents; a "tiny twig on an improbable branch of a contingent limb on a fortunate tree" ("Wonderful Life" p. 291). Highly fortunate indeed! Eons ago, a dinosaur-dominated earth held little promise for mammalian ascendancy (let alone primates or humans). Our distant ancestors might have remained little more than scurrying nuisances nipping at the feet of giants if not for a most unlikely calamity - a massive meteor strike which swept away the dinos and forever altered the earth's bio-saga. Who would have guessed?

Evolution's capricious nature seemed to represent a severe stumbling block for the Abrahamaic religious traditions. In their narrative, humans represented the culmination of God's creative work - the very purpose for creation itself. But evolution is an awfully shoddy way of enacting a divine plan. Gould delighted in annoying the faithful by emphasizing this very point:

"Odd arrangements and funny solutions are the proof of evolution - paths that a sensible God would never tread but that a natural process, constrained by history, follows perforce" ("The Panda's Thumb", 1980, pp. 20-1).

Theologians, however, were quick to point out that the chance element in evolution was neither new nor necessarily contrary to the Judeo-Christian view of God. Human history was replete with chance; evolution only extended the theme. Moreover, chance allowed for freedom - a virtue high on God's agenda. However theologically sound these retorts may have been, their force was often lost on the average believer. The accidental nature of human existence provided just another reason to reject evolution altogether in order to preserve God's special concern for humanity.

Gould was a talented science writer, but he overplayed evolution's whimsy. Increasingly, science is showing that the evolutionary process has many built in constraints which limit its possibilities and bias its pathways. Take, for example, the ubiquitous phenomenon of convergence - the tendency for highly diverse species to independently evolve similar adaptive (analogous, not homologous) traits. Most of us are familiar with the saber-toothed tiger, the scourge of our hominin ancestors. Less familiar are a group of South American marsupials called the thylacosmilids who independently evolved similar protruding saber-teeth. Convergence can also be seen in a number of specifically human traits. For example, we share a mode of locomotion, bipedalism, with birds, kangaroos, and some dinos. The lateralized and convoluted structure of our brains can also be found in octopi, this despite the fact that vertebrates and cephalopods diverged from one another over 450 million years ago.

In his book "Life's Solution" (2003, Cambridge Press) Cambridge Palaeobiologist Simon Conway Morris documents scores of examples of convergent evolution from insect body designs to the social systems of dolphins and chimpanzees (both fission-fusion). The important lesson is that there are only a limited number of ways that evolution can solve the adaptive problems posed by the earth's ecosystems. Time and again, evolution stumbles upon the same general design features from which to fashion adaptive traits.

Now add to this the Baldwin effect - an idea originally proposed in 1896 wherein organisms are posited to actively shape their own selective forces. For example, suppose some fairly intelligent primates begin fashioning tools, giving them access to new resources and a competitive advantage over non-tool users. Any genetic predisposition facilitating tool use would also be positively selected.

A severe limitation on Baldwin effects has always been the unpredictability of genetic mutation. For any heritable genetic changes to occur (so the thinking has always been) our tool wielding primate would just have to wait around and hope for a lucky "tool use" mutation to pop up. But maybe not. Two recent books, Jablonka and Lamb's "Evolution in Four Dimensions" (2005 MIT press) and Kirschner and Gerhart's "The Plausibility of Life" (2005, Yale University Press) discuss connections between recent work in genetics and Baldwinian processes. What if the primate's tool use actually raised the probability that a tool-relevant genetic change would take place which could then be passed along to offspring?

Recent genetic research (in a field called epigenetics) shows that experiences occurring over one's lifetime can produce heritable genetic changes. For example, mice exposed to two weeks of environmental enrichment (more social interaction, activity, novel objects to explore) show evidence of enhanced memory function (not surprising). More surprising is that their offspring also show evidence of enhanced memory even though they were never exposed to environmental enrichment (Journal of Neuroscience, 29, p. 1496). Thus, the increased environmental stimulation created a genetic change in the parents that was then transmitted to offspring. This change appears to involved altered patterns of gene regulation (how genes are turned on and off during development). Similar effects have been noted in humans (see European Journal of Human Genetics, 14, p. 159).

Convergence, epigenetic inheritance, and Baldwin effects are only a few of the mechanisms serving as directional constraints on evolution's pathways. In his review of the various factors affecting the evolutionary process, anthropologist Melvin Konner concludes:

"There are no intrinsic driving factors in evolution, but there are intrinsic constraints and canalized paths along which either evolution or development may more easily proceed" ("The Evolution of Childhood," Harvard Press, 2010, p. 59, emphasis in original).

Of course, none of these constraining factors guarantee our arrival on the evolutionary stage. They do, however, raise the odds that in time a complex, rational, self-aware creature capable of entertaining both scientific and religious ideas might emerge.

The more we understand evolution, the less it seems like neither the bogeyman that creationists fear nor the universal God-dissolving acid some atheists crave.

While these are indeed complex questions, some of the problems do stem from misunderstandings about what randomness means in a scientific sense and what role it plays in evolution. To help clarify some of these details, we offer these resources.

The “Randomness” installment of our Distinctions series (first posted earlier this year) looks at some of the basic misconceptions about the role of randomness in evolution. While it is understood by many simply to mean blind, undirected and purposeless, in truth, randomness is far more complex and awe-inspiring than this overly-simplified definition. Whether through genetic mutations or the combinations that occur between sperm and eggs, these processes can be seen as the continual unfolding of something that is decidedly not random--creation itself. Randomness, in essence, generates certainty. This is further illustrated in the second video.

In the clip “Randomness” from the upcoming film A Leap of Truth by Ryan Pettey, Richard Colling, Ard Louis, and John Polkinghorne offer several examples of random processes leading to order rather than disorder. As Dr. Louis points out, the scientific definition of “randomness” is quite different from our everyday understanding of the word. In fact, random generation is the most efficient way to generate complexity. Polkinghorne further notes that we live in a world where the balance of random mutations is almost perfectly tuned for fruitful life on Earth. This, we learn, is God's process: Randomness given time, can lead to that which is nearly certain.

This is beautifully illustrated in the following re-post from last year. Here, in a blog called "That's Random," Kathryn Applegate offers two examples of random motion leading to certainty in the process of assembling a virus. Because random processes can lead to that which is almost certain, it is not at all surprising that this has frequently been used by God over billions of years to create order out of chaos--God's creation, by God's way, in God's time.

That's Random

You hear it all the time: “That’s so random!” When used by people of my generation, the word “random” can simply mean “cool” or “surprising.” Or it can mean something like “disconnected,” as in the phrase, “I had a random thought” (which returns 189,000 hits on Google, by the way—random!).

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. A good introduction to the way divine action could drive physical processes can be found in this Question.

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.

1. From Scot: Could you explain the difference between creationism, intelligent design, and "evolutionary creationism"?

“Creationism” is one of those words that almost always needs clarification. For many, “creationism” is synonymous with Young-Earth Creationism, the view that the Genesis narratives are to be taken literally. This view holds that the entire cosmos is around 6,000 years old, that the fossil record was laid down almost in its entirety during a literal, global worldwide flood, that God created humans directly out of dust, and that Adam and Eve are the progenitors of the entire human race. The organization Answers in Genesis is probably the best-known proponent of this view.

Old-Earth Creationism typically holds to a local flood, and accepts Big Bang cosmology. Despite agreeing with mainstream science on these issues, they deny evolution: they believe that the vast majority of species (and especially humans) were independently created by God during earth’s long history. Old-earthers also hold to a literal Adam and Eve as the progenitors of our entire species. Reasons to Believe is the best-known organization that promotes this view. You can read one of my (somewhat technical) critiques of their anti-evolutionary genetics arguments here.

Intelligent Design (ID) is a view that many feel is a form of creationism, though the ID Movement itself often rejects the label, claiming that it is strictly an alternative scientific view. The ID Movement is a “Big Tent” approach for all and sundry who reject at least some part of evolutionary biology. As such, there are Young-Earth Creationists, Old-Earth Creationists, and others within the movement. The main ID view is that some features of life are too complex to be the result of evolution, thus indicating that they were “designed” – a word that functions as the equivalent of “created” within this group. The Discovery Institute is the best-known organization for promoting ID. I’ve spent a lot of time critiquing the ID movement, and you can find much of that material on the BioLogos web site (do an author search there using my name).

Despite their (large) differences, all of the above positions deny some aspect of modern science. The only Christian perspective on origins that fully accepts mainstream science is the Evolutionary Creation / Theistic Evolution view. This view holds that science is not an enemy to be fought, but rather a means of understanding some of the mechanisms God has used to bring about biodiversity on earth. This view accepts that humans share ancestry with all other forms of life, and that our species arose as a population, not through a single primal pair. There are different views within the EC community on whether there was a historical couple named Adam and Eve – some hold that there was, and that they were selected by God from a larger population as representatives. Other folks in the EC community feel that Adam and Eve are typological figures, such as a representation of the failure of Israel to keep the covenant. The science (human population genetics) is clear that our species arose as a population, and that is what I have focused on (since that is my area of expertise). I try to leave the theology to others, but often folks want to talk theology on these points, not science.

2. From Paige: What has been the most compelling evidence for you personally that has solidified your position as an evolutionary creationist?

Well, the evidence is everywhere. It’s not just that a piece here and there fits evolution: it’s the fact that virtually none of the evidence we have suggests anything else. What you see presented as “problems for evolution” by Christian anti-evolutionary groups are typically issues that are taken out of context or (intentionally or not) misrepresented to their non-specialist audiences. For me personally (as a geneticist) comparative genomics (comparing DNA sequences between different species) has really sealed the deal on evolution. Even if Darwin had never lived and no one else had come up with the idea of common ancestry, modern genomics would have forced us to that conclusion even if there was no other evidence available (which of course manifestly isn’t the case).

For example, we see the genes for air-based olfaction (smelling) in whales that no longer even have olfactory organs. Humans have the remains of a gene devoted to egg yolk production in our DNA in exactly the place that evolution would predict. Our genome is nearly identical to the chimpanzee genome, a little less identical to the gorilla genome, a little less identical to the orangutan genome, and so on – and this correspondence is present in ways that are not needed for function (such as the location of shared genetic defects, the order of genes on chromosomes, and on and on). If you’re interested in this research, you might find this (again, somewhat technical) lecture I gave a few years ago helpful. You can also see a less technical, but longer version here where I do my best to explain these lines of evidence to members of my church. For those wanting even more info, a few years ago I recorded a series of lectures given to my non-majors, intro biology class that explored evolution and Christian responses to it in depth.

3. From Rob: I have trouble with randomness in natural selection. Why is it essential in scientific terms that evolutionary development is random? How does that fit with the notion of a God who is involved in the world? …Random evolution would not be theism (or it wouldn't Biblical Christianity). It would be deism; the Great Clockmaker who set everything in motion and then kept hands off. Why is randomness essential scientifically, and how does a Christian accept it theologically?

I think you mean randomness in mutation: natural selection is anything but random (it’s a process whereby certain variants in a population reproduce more successfully than others). Evolution has a random component (mutations arise that may be detrimental, neutral or beneficial) and an emphatically non-random component (the different variants within a population do not all reproduce at the same frequency, meaning that the next generation will not be exactly like the previous one). So, as a whole, evolution is not random since it has a strongly non-random component. Evolution is actually remarkably good at producing similar results over and over again: consider how similar ichthyosaurs (descended from terrestrial reptiles) and dolphins (descended from terrestrial mammals) are. That’s the non-randomness of evolution at work. Some evolutionary creationists have argued that this non-randomness of evolution is a way that God uses evolution to shape His creation (the best work on this topic is Life's Solution by noted Cambrian paleontologist Simon Conway Morris).

4. From HMV: I agree with you that the evidence seems to point to evolution being true. I've read Biologos and the old Evolution and Evangelicals blog. I've read books where people try to rework theology in light of this scientific knowledge. And yet, I'm left feeling confused and unsatisfied about doctrines like sin, the Fall, salvation, etc. What about you--have you found a satisfying way to maintain your evangelical theology in light of evolution?

This is a tricky question, because it hinges on the inherently subjective term “satisfying.” What I might find satisfying you might not – and in order to answer the question I have to guess at what you mean by it.

Personally, the concept of Divine accommodation has been helpful to me. This is a theology that has a long heritage in Protestant circles (e.g. Calvin). In a nutshell, it’s the idea that God, in his grace, brings himself down to the level of the audience he is communicating with. For Genesis, that audience is an ancient near-eastern culture, not our modern scientific one. For Genesis, my view is that God wants to communicate that he is the Creator of all that there is, that he has given humanity a special image-bearing role within it, but our sinfulness has broken that relationship, et cetera – but that he doesn’t see a need to give them a science lesson first. I would recommend Denis Lamoureux’s book I Love Jesus & I Accept Evolution and, though not directly related to science, Peter Enns’ book Inspiration and Incarnation may also be helpful to you (it certainly was to me).

5. From Chris: From the perspective of an evolutionary creationist, what meaning and value do you extract from the creation accounts in Genesis and why would they be important for the Christian faith if they can't be taken literally?

See the answer above – I see the Genesis narratives as God graciously reaching down to an ancient culture in order to communicate to them that he is their creator, that they are alienated from him, and that he desires that they be restored to fellowship through his offer of covenant with him (ultimately pointing to the need for God to step into history himself as the One who can keep the covenant on our behalf).

6. From Paige: I'll never forget sitting in one of Dr. Charlie Liebert’s classes several years ago and hearing him ask the question: "What came first, death or sin?" If we believe that there was no death before sin, it causes a wrinkle in our ability to hold to the theory of evolution. As a scientist, this question caused him to reexamine the evidence. How have you personally dealt with this "wrinkle?"

Yes, if you believe that no death of any kind (plant, animal, bacterial) occurred before human sinfulness, then this precludes an evolutionary view, since the fossil record is (obviously) a record of things, well, dying. If you hold that no human death came before sinfulness, then it depends on what you call human (there is a gradation of forms leading up to the modern human skeleton in the fossil record, as well as the overwhelming genetic evidence that we arose through an evolutionary process) and what you consider sin (i.e. when did we become accountable to God for our actions?). There is also the long-standing observation that God decrees that Adam and Eve will surely die the day they eat of the fruit – and then they live for several hundred years after the fact. I’d also recommend reading through Romans 5:12 – 8:17 (which, as you know, is all about Adam, sin and Christ as the second Adam) and making a mental checklist of how Paul uses the term death in this passage. References to physical human death are in the minority – suggesting that Paul’s understanding of what is going on in Genesis has a lot more nuance than a simple literal reading would imply.

7. From Jane (from her husband, an atheist): All of the questions posted so far approach the topic from the viewpoint of assuming belief in a god. As an atheist, I don’t share that assumption. (For those who might not appreciate it, evolution offers a mechanism for understanding the existence of living organisms that doesn’t require the existence of a god.) If you transitioned from an anti-evolutionary/pro-intelligent design view to an evolutionary creationist view a few years ago,” why didn’t you keep going and just embrace evolution and drop the theistic aspect?

Your question implies that there is a natural trajectory from accepting evolution to rejecting God. As a theist, specifically an evangelical Christian, I don’t agree with this point, though I understand where you are coming from. Let me explain.

Your assumption, that “evolution offers a mechanism for understanding the existence of living organisms that doesn’t require the existence of a god” holds weight only if one has the view that “natural explanations” and “theistic explanations” are a zero-sum game. This is a God-of-the-gaps approach, where God has less and less to do as we understand more and more how nature works (and a view I reject). Logically, if I held this view I would view science as an inherently evil activity, since any natural explanation diminishes the activity of God from this viewpoint. Your view is also one that science cannot establish as correct, since science cannot speak to the absence of divine action in an observed phenomenon.

If, on the other hand, one believes that “natural explanations” reveal the means by which God ordains and sustains his creation, then “natural explanations” are not a threat to theism at all, but rather a window into the ways God acts in the world. This is the view I hold, and it too is a view that science cannot establish. Both theistic evolution and atheistic evolution are philosophical / theological interpretations of what science can establish: evolution.

As for “drop(ping) the theistic aspect” – this would imply that my faith was based on a particular understanding of creation such that I would question my faith when I questioned the mechanism of creation and/or my interpretation of Genesis. This wasn’t really an issue for me, since my faith was, and is, based on believing that Jesus of Nazareth is in fact the resurrected Lord of the entire world (to roughly paraphrase how N.T. Wright puts it) and that the resurrection is God the Father’s vindication of Jesus’ messiahship (as a sinless, suffering servant that, mystery of mysteries, turns out to be God Himself, incarnate). None of that belief was ever predicated on a specific interpretation of Genesis with respect to scientific details, and as such, accepting evolution as a mechanism by which God creates did not alter those beliefs. (If you’d like to see a rational, historically-rooted investigation of the credibility of the resurrection, N.T. Wright’s The Resurrection of the Son of God is the standard by which others are judged.)

Why Evolution Is True

The breadth and clarity of Coyne’s explanation and discussion of the evidence supporting evolution is impressive. Christians who have even a passing interest in science should give what he has to say careful, prayerful reflection. However, the significant level of Christian misunderstanding of evolution makes reflection on the theory difficult. Coyne’s book is helpful for addressing the distorting myths so characteristic of Christian discussions of evolution. In Part 1 of this review, I want to lay out some of the key myths and indicate how Coyne’s discussion can help Christians get a more accurate understanding of what evolution says and does not say. In the remaining parts, I’ll explore Coyne’s problematic approach to science and faith.

Myth: Random Variations Are Uncaused

Christians (and most atheists) often characterize evolution as excluding God because the variations at the heart of evolutionary theory are “random” or “unguided.” They take such terms to imply that genetic variations are uncaused or ungoverned. However, as Coyne explains, “The term ‘random’ here has a specific meaning that is often misunderstood, even by biologists. What this means is that mutations occur regardless of whether they would be useful to the individual” (p. 118).

Consider an analogy with games of chance. Dice don’t land snake eyes because that would benefit the gambler. Yet there is an underlying set of causes as to why the dice landed snake eyes on that particular roll (even though we refer to the outcome as random or undirected). Similarly, there are underlying causes as to why particular offspring in a population of organisms received the particular genetic variations they did.

Moreover, the biological notion of random or unguided mutations doesn’t even rule out God as the possible cause of the variations. All biologists mean by such terms is that the underlying causes are left open by evolutionary theory because mechanisms like natural selection can work with any variations handed to them, whether those variations are due to genetic copying, cosmic rays or God. Consider the dice analogy again. That the dice landed snake eyes on this particular throw is fully consistent with there being an underlying law governing the dice or that God somehow determined the particular outcome of the throw (the latter idea lies behind the Old Testament practice of casting lots). Similarly, that some organisms in a particular population received a particular genetic variation increasing their likelihood of surviving and reproducing is fully consistent with there being an underlying law governing genetics (a reflection of the regular, ongoing activity of God), or that God somehow determined the particular variation through supernatural intervention.

Myth: Everything in Evolution Happens by Chance

It’s typical of Christian discussions to attribute everything in evolution as due to chance. In contrast, as Coyne points out, although there is a technical sense in which a variation in an organism is random, “the filtering of that variation by natural selection that produces adaptations...is manifestly not random” (p. 119). Variations received by organisms are indifferent to the needs of the organism, but the filtering out of harmful variations is anything but random. That filtering–natural selection–promotes survival and reproduction, a clearly nonrandom outcome.

Myth: Evolution Works Solely Through Natural Selection and Random Variations

Most all Christian discussions of evolution assume that the theory only uses natural selection acting on random variations to explain biological change. I suspect this overly narrow view of evolution is largely inspired by Richard Dawkins, who early in his career described evolution as working through only natural selection. Although Coyne focuses primarily on natural selection, he helpfully points out that there is much more to evolution than natural selection acting on random variations (e.g., pp. 3, 13, 122-124, 170, 177).

Darwin thought that natural selection was the most important evolutionary mechanism, but stressed that there were other mechanism as well (e.g., sexual selection). Contemporary evolutionary biologists also explore components of evolution beyond natural selection. Genetic drift, for example is an important component in evolutionary theory (particularly at the molecular level). Exaptation is another important component in the production of new structures with new functions. It occurs when a feature that was originally adapted by natural selection to perform a particular function is co-opted for a different function and then modified by natural selection with respect to this new function. Consider feathers. It’s now known that most all of the carnivorous theropod dinosaurs (e.g., Deinonychus, Velociraptor, T. rex) were covered with feathers. Feathers probably arose under natural selection for thermal regulation of body temperature (the fossil record reveals feathered, nonflying dinosaurs appearing long before feathered flying creatures arise). It is likely that feathers then were co-opted for flight (probably gliding first with powered flight coming later), a completely different function than their original natural selection history of development. Natural selection would then have begun to refine the feathers of flying organisms for improved flight capabilities.

Myth: Evolution Always Optimizes

Almost all Christian critiques of evolution are aimed at an extreme optimizing interpretation of evolution: Natural selection acts to optimize species traits for their particular environment. However, it’s been well known for a long time that this interpretation of evolution is seriously flawed (this is one reason why most all creationist and ID attacks on evolution are unconvincing). As Coyne explains, “Natural selection does not yield perfection–only improvements over what came before. It produces the fitter not the fittest” (p. 13).

Darwin argued that evolution doesn’t optimize the traits of organisms. Rather, he emphasized over and over again that evolution produces just-good-enough solutions for making a living in particular ecological niches. For instance, the key idea of natural selection is that some organisms have a slight differential advantage in reproduction due to some variation in a trait that they received at birth, and this slight advantage is all that may be needed to more deeply penetrate an ecological niche successfully with no further modifications needed.

Myth: Evolution Is Necessarily Always Improving Organisms

Another common misconception of evolution in Christian circles is that organisms are constantly improving under evolution. Coyne helpfully clarifies that evolution doesn’t necessarily imply organisms are constantly improving (e.g., pp. 4, 13, 131-136). Darwin argued that evolution’s just-good-enough solutions were sufficient for surviving well in an ecological niche.Furthermore, there is nothing about evolutionary theory implying a necessary progression from simple to complex life forms or from lower to higher life forms.

What evolution produces are different life forms, each shaped to survive and reproduce in its ecological niche. Therefore, one should expect to see stasis in ecological niches where evolutionary pressures are minimal (e.g., sharks haven’t changed much in 25 million years). In niches where evolutionary pressures are high, such as the human body’s immune system combined with our repertoire of antibiotics, one should expect to see changes in the microorganisms causing disease and this is exactly what we do see (e.g., pp. 130-132). Moreover, there is nothing in evolutionary theory implying that species cannot devolve from more complex to simpler forms if that’s what gives them a better purchase on penetrating deeper into a particular ecological niche (e.g., organisms slowly losing their eyes when they live for many generations in dark caves).

Similarly, there is nothing in the theory implying common ancestors in the past should be driven to extinction by evolved successor species (as far too many oversimplified Christian critiques of evolution maintain). That fate depends on whether the ancestor and successor species end up competing for the same resources in the same ecological niche. If the successor species gains abilities to exploit different resources within the same ecological niche, there is no reason to expect that the ancestor species would die out or be driven to extinction.

Today we are happy to introduce the first in a new series of videos from The BioLogos Foundation called “Distinctions”. These short videos look to clarify some of the important scientific questions at the heart of the science and faith dialogue. In our first video -- featuring biologists Sean Carroll and Kerry Fulcher, Smithsonian Human Origins Program director Rick Potts, and Old Testament scholar John Walton -- we look at the concept of randomness. While it is understood by many simply to mean blind, undirected and purposeless, in truth, randomness is far more complex and awe-inspiring than this overly-simplified definition. Unlike our previous posts for the Conversations series, we won't be including a full summary, as we feel the videos speak for themselves.

There are certainly more resources addressing the topic of randomness, however. For further reading, be sure to check out our FAQ on chance and God's sovereignty, Ard Louis’ scholarly essay “How Does the BioLogos Model Need to Address Concerns Christians Have About the Implications of its Science?”, and the series of blogs by BioLogos program director and cell biologist Kathryn Applegate, beginning with her posts “That’s Random!” and "Understanding Randomness".

Credits: This video was directed by Loretta Cooper, President of Clarity Media Strategies and was scripted by Loretta Cooper and BioLogos Program Director, Kathryn Applegate.

Today I am a Christian with a deep sense of the grace of God and an ongoing feeling of wonder at the redeeming power of the Lord in all of creation and in my own life. I remain a scientist, as I have been for the past 30 years. I find tremendous satisfaction in my absolute conviction that science and faith are complementary and mutually supportive. My faith is strengthened by what I know of the natural world, and my scientific thinking has been given a great boost by my faith in the creative power of the Lord.

What sort of journey led me from my youth of fervent atheism to where I am today? The answer is simple: God called me, insistently and clearly, though it took me decades to finally listen and hear.

I remember the first clarion call quite clearly. As a young man I saw the film “The Gospel According to Saint Matthew” by Passolini. In the film, the musical score alternates between a number of sharply contrasting styles. After the crucifixion, a slow, somber, Russian hymn reflects the mood of despair and loss felt by Mary and the disciples. This music continues as the women and John visit the tomb on the third day. The stone of the door is rolled back and the tomb is revealed as empty. At that instant the music immediately changes to a joyous African melody from a piece called the Missa Luba.

The effect this moment of the film had on me was intense and dramatic. I felt a shiver of emotion, and a sense of miraculous joy. The art of the filmmaker had conveyed—through music and visual splendor—the truth of the Gospels to me. As John started running to spread the word to his friends, I remember thinking, wouldn’t it be wonderful if I could believe in the lovely myth of the resurrection. And then I thought no, this is just a trick of my mind to elicit emotions originally evolved to allow for human beings to experience empathy, and so on. (See Dennett for a full explanation of how we are “fooled” by such feelings).

So while the seed had been planted, it grew slowly, and required a great deal of care and tending to finally bear fruit. I read the Gospels. I became interested in mysticism and transcendence. I started attending a Catholic Church. All of this was interesting in an intellectual sense, but it had nothing to do with faith. I was an observer, a sympathetic and friendly one, but I was still on the outside looking in.

Meanwhile I worked at doing scientific research, and read Dawkins and Gould, Lewis Thomas and Carl Sagan. I have always been fervent in my admiration for the explanatory power of evolutionary theory, and even communicated with Dawkins concerning one of Darwin’s letters that I discovered in the British Museum, which got a mention in The Devil’s Chaplain.

I was finally given the gift of God’s grace directly from Christ in a dramatic and undeniable way. But in order to fully accept this gift, and to know that I belong to Christ, body and soul, I needed to reconcile this new faith with my scientific sense of reason. As it turned out, I found this (as many others have) to be surprisingly straightforward, especially after reading The Language of God. My journey to faith began with art and emotion, but it reached fruition with my growing understanding of how the characteristics of the natural universe point to God.

My scientific world-view encouraged me to ask questions, some of them unusual for a scientist: Why does beauty exist? Consider the magical Ode to Joy, or every note ever penned by Bach, or Kandinsky’s paintings, or the elegance of Einstein’s fundamental equations. Look at the wonderful mathematical artifact of the Mandelbrot set, a pure fractal, conceived by the genius of man’s mind, and only made visible by modern computer graphics. Yes, these are all works of man, and man is a wondrous creation. But why is the universe beautiful? What is the source of this beauty?

When we look at nature and see that the apparently-artificial, mathematically-strange concept of a non-scalar, self-similar fractal can be found in almost all biological structures (including DNA), as well as in clouds, coastlines, mountains, and galaxies, we must wonder at the source of all of this complexity, all of this beauty.

We know from physics that our world is stochastic, not strictly deterministic. In other words, it changes according to seemingly “random” influences, allowing for—even insisting on—creativity and surprise at every turn. It is beautiful, not dull; highly complex, not simple. Biological organisms appear to have been formed with the innate ability to evolve. And human beings, organisms with a soul, represent the grandest mystery of all.

Why is it so remarkable that we live in a stochastic universe? We can predict the result if we toss 1000 coins, treat a million cells with a mutagen, examine the behavior of a billion molecules, or trace the fate of trillions of subatomic particles. In that sense our science can describe the world very well. But, we know nothing about what happens when you toss a single coin, explore the mutational fate of a single cell, try to predict the path of a single photon, or look at the life of a single human being. It indeed appears magical (especially when we examine the science of quantum theory) that our universe is fundamentally stochastic at the level of the individual. I believe that this property of the natural laws we describe through science was built in by the Creator to allow for chance, beauty, evolution, humanity and even faith. What we perceive as random chance is not the enemy of faith, but the opposite. It is God’s tool.

We are able through science to find magnificent and overwhelming evidence for God’s intervention and on-going engagement in our world, from its creation to our everyday lives, in every aspect of reality, including in our ongoing discoveries of the secrets of the natural world. We now know that the universe was not always here. It had a beginning. It was created. That is Gospel, but it is also science.

But although we find many pointers to divinity, God so designed the world that His hand in its creation can never be proven beyond doubt. If that were not true, then free will and the beauty of faith would disappear. Faith is a gift to be accepted by an open heart, and an open mind. The knowledge of God’s grace cannot be forced on anyone by the discovery of any irrefutable fact that proves His existence. But the converse is also true. No scientific endeavor will ever prove the absence of God, and so we are free to believe.

The best thing about my journey from atheism to faith is that it isn’t over. I have learned a lot, but there is much more to explore, and I would like to thank BioLogos for being the vehicle for so much exploration of the natural works of the Lord in the context of His amazing grace.

In this video “Conversation,” BioLogos Program Director Kathryn Applegate points to evolutionary science as a way to gain a richer understanding of the glory of God.

Scientists become fairly comfortable with a certain level of uncertainty within scientific data, notes Applegate, but that is not the case for most people. Uncertainty—especially where faith is concerned—can be scary for people who want a black and white answer. Yet science has all of the subtlety of a beautiful painting that is hard to encapsulate in a sound byte.

God speaks through the Bible and all sorts of other things that comport with the Bible, says Applegate. “Science is another way of studying what God does. How he created and how he continues to create. God is active and involved. We see that through the means of a continuous creation through evolution,” she says.

That is really exciting and allows us to better understand the character of God. God is infinitely creative and infinitely good. Looking to Genesis for scientific data is like looking at the notes on the page of a symphonic score without ever hearing the music—you miss all the richness. “Not that the notes aren’t important,” says Applegate, but they do not offer the complete picture and it isn’t the primary purpose of those texts.

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