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The Simple Math of Evolution
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    The Wonder of Evolution

    by Eliezer Yudkowsky
    2nd Nov 2007
    5 min read
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    Evolution
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    The Wonder of Evolution
    0Shakespeare's_Fool
    -9Caledonian2
    1jeff_gray2
    21Peter_de_Blanc
    -11Caledonian2
    16Nick_Tarleton
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    [-]Shakespeare's_Fool18y00

    Eliezer,

    Could you -- perhaps in another thread -- discuss how "The Evolution of Cooperation" (as Robert Axelrod put it) fits or does not fit with Huxley's comment. Can Axelrod and Huxley both be right?

    John

    Reply
    [+]Caledonian218y-9-2
    [-]jeff_gray218y10

    caledonian

    evolution is contingent. so are we. what's your point?

    Reply
    [-]Peter_de_Blanc18y210

    Caledonian, in reply to the first half of your post: some of evolution's designs are quite impressive, yes. They took billions of years to produce. Just wait until we've had a billion years to design stuff - then you'll be really impressed.

    Also, your taunting is not useful. Stop it.

    Reply
    [+]Caledonian218y-11-1
    [-]Nick_Tarleton18y160

    What evolutionary algorithm, operating over a non-immense period of time, even comes close to what a talented human is capable of? It wasn't evolution that built your computer, although small parts of it (that humans are unusually bad at designing) may have been constructed by evolutionary algorithms.

    Humans are also functions of reality, unless you're a dualist. We have imperfect models, but evolution doesn't have a model at all, which is why it's stupid. Even if it did inerrantly respond to the immediate environment (and it doesn't - look at the effect of a sense of taste adapted to a very different environment, for instance), it necessarily can't plan for the future. You really sound like you're genuflecting at a sacred mystery, not being rational.

    Re specialness: it's annoying to smugly point out things that people are already perfectly aware of.

    Reply
    -13Lipdorn_113y
    [+]Caledonian218y-70
    [-]GreedyAlgorithm18y50

    To stay unbiased about all of the commenters here, do not visit this link and search the page for names. (sorry, but - wait no, not sorry)

    So it seems to me that the smaller you can make a quine in some system with the property that small changes in it mean it produces nearly itself as output, the more likely that system is going to produce replicating evolution-capable things. Or something, I'm making this up as I go along. Is this concept sensical? Is there a computationally feasible way to test anything about it? Has it been discussed over and over?

    Maybe... (read more)

    Reply
    [-]kamenin18y20

    Evolution resolves the infinite regression, not by being super-clever and super-efficient, but by being stupid and inefficient and working anyway. This is the marvel.

    Stupid and inefficient is sometimes much better (and faster) than a meticulously designed process. If you've ever dealt with fitting of really complex data, a random walk is often suprinsingly more efficient than any of the refined fitting algorithms. In itself it's just stupid "trial and error" in endless repetition, just like evolution, with a little bit of organizing in the background.

    Reply
    [-]Tom_McCabe218y130

    "Because my human-built computer is inferior is virtually every way to the one evolution produced."

    From LOGI:

    "Current computer programs definitely possess these mutually synergetic advantages relative to humans:

    • Computer programs can perform highly repetitive tasks without boredom.
    • Computer programs can execute complex extended tasks without making that class of human errors caused by distraction or short-term memory overflow in abstract deliberation.
    • Computer hardware can perform extended sequences of simple steps at much greater serial speeds than human abstract deliberation or even human 200Hz neurons.
    • Computer programs are fully configurable by the general intelligences called humans. (Evolution, the designer of humans, cannot invoke general intelligence.)"

    "Its stupidity is still smarter than the most brilliant human."

    Taking the earlier example of the eye, we've already surpassed it in just about every way. We have cameras which can see in much dimmer light, and cameras which can look directly at the Sun without getting fried. We have cameras that can see in radio and gamma rays and everything in between. We have cameras with higher resolution ... (read more)

    Reply
    [-]Erik218y30

    "Only in AI would people design algorithms that are literally stupider than a bag of bricks, boost the results back towards maximum entropy, and then argue for the healing power of noise."

    I do not have the time to go through it now (which probably means I never will remember to do it) but I can offer a small observation.

    When training neural networks, there is a very good reason why adding a random element improves the performance: it avoids getting stuck in suboptimal local minima. Training a network can be seen as minimizing errors on a surface ... (read more)

    Reply
    [-]Mike_Johnson18y30

    Interesting series of articles. I like the theme.

    Just a small observation-- you may define the origin of life outside the domain of evolution, but I think you could just as easily bring it under the umbrella of evolution, with discussion of replicator precursors such as chemical epicycles and whatnot. I see your point, but I think distancing evolution from such a question might be seen as 'passing the buck'.

    Reply
    [-]Nato_Welch18y90

    Would it be too hard to believe that the very first replicators actually went extinct several times before the right accidents occurred in the right circumstances to give rise to sufficiently hardy descendants?

    Certainly, the first replicator that gave rise to us might be seen as marvelous - but the first replicator //period// may have been plain pathetic.

    Reply
    [-]Tim_Tyler17y20

    Dawkins agrees with Huxley.

    He describes nature as "the ruthlessly cruel process that gave us all existence", and describes the process that made us as "wasteful, cruel and low".

    He says that nature gave us a brain capable of "understanding its own provenance, of deploring the moral implications and of fighting against them".

    He describes humanity as: "the only potential island of refuge from the implications of [evolution]: from the cruelty, and the clumsy, blundering waste."

    However, there is no special reason for thinking these guys are right - either about the desirability or the realistic possibility of rebellion.

    Reply
    [-]Dov_Henis17y-40

    Evolution is biased at genes replication routes, at their alternative-splicing-steps junctions

    A. A reply to one of my posts:

    "Dov, you write: Life's evolution is not random. It is biased, driven by culture.

    Be sure you understand that Darwin did not say that evolution is random. He said that evolution is not random. It is driven by natural selection."

    B. I never wrote anything that Darwin said. Here, again, is what I say and wrote:

    Culture is the universal driver of genetic evolution

    The major course of natural selection is not via random mutations f... (read more)

    Reply
    [-]Nwallins15y00

    But to praise evolution too highly destroys the real wonder, which is not how well evolution designs things, but that a naturally occurring process manages to design anything at all.

    Yes, but this "naturally occurring process" suits itself very well to automation and discovery.

    So let us dispose of the idea that evolution is a wonderful designer, or a wonderful conductor of species destinies, which we human beings ought to imitate. For human intelligence to imitate evolution as a designer, would be like a sophisticated modern bacterium trying

    ... (read more)
    Reply
    [+]k4ntico14y-70
    [-]Douglas_Reay13y40

    There's a useful metaphor for this process, from a computing technique mathematicians sometimes use to find approximate solutions to numeric problems called "simulated annealing". Consider a graph with high points (called "maxima") and low points (called "minima") like this one:

    IMAGE

    Sometimes you know the equation, and can just solve it. But, at other times, the situation is like having a black box with some dials to twiddle, and a single output (which you want to be as big as possible). One way to search for the dial setti... (read more)

    Reply
    [-]Ghazzali13y70

    If all science must be in theory falsifiable, and evolution is good science, can you give me some parameters or predictions that if they were found to be true would hurt the theory of evolution?

    What would scientists need to find in the future that would seriously do damage to the theory?

    Reply
    [-]Desrtopa13y210

    The standard snappy answer to this one is "fossil rabbits in the precambrian".

    More generally, if we found fossils of organisms with complex adaptations which reliably dated to a time before those adaptations could plausibly have occurred (because the necessary precursors didn't exist,) then that would be a strong indication that our understanding of the development of species is wrong.

    Reply
    -9Ghazzali13y
    7faul_sname13y
    Any number of things. One example would be traits appearing in advance of conditions that would make them favorable e.g. a deep ocean fish developing legs or a reptile developing wings while it is too heavy for the wings to increase the length of its jumps. Another would be one species adopting traits of another through direct transfer of genes, rather than through separate evolutionary lines e.g. a snake using a variety of venom that was previously only in spiders. I could probably come up with several hundred examples, if you really needed that many. None of them are particularly likely though: there is a huge weight of evidence behind modern evolutionary theory, which means it is almost certainly true.
    -8Ghazzali13y
    [-]thomblake13y150

    There is at least some sense in which the general pattern of evolution is not falsifiable - but to precisely that extent, it's not science. There is a mathematical certainty that an evolution-like process would occur in a system with random heritable changes that can selectively help or hinder reproduction. For a theist to deny evolution exists in general, they would have to insist God actively stops it from happening every day (or deny that random heritable mutations occur, or deny that they can help or hinder reproduction).

    Reply
    4[anonymous]13y
    But this doesn't make it unfalsifiable, strictly speaking, because it can still be tested like any other empirical claim, similar to how one might "test" 2+2=4.
    3thomblake13y
    Sure, that.
    -8Ghazzali13y
    2Bugmaster13y
    Thus, finding some evidence that random mutations are not actually random, but part of some global pattern, might reduce our confidence in the theory of biological evolution (as per Ghazzali's original challenge, above). Discovering evidence for some sort of Lysenkoism would also work, but might be harder to achieve, since all the evidence we'd found so far points in the opposite direction.
    [-][anonymous]11y00

    Interesting. However, I seem to be confused reading your posts on evolution by statements like "Squirrels jump from treetop to treetop using just their muscles" - obviously they use at leat their bones, too; so maybe there are other cases where you use 'compression to obvious', and I begin to be afraid that I missed them. That I cannot understand your meaning in fullness when you begin talking about things that I know poorly. As to incremental evolution, we already know there are genes controlling development, and they are highly conserved. Evolution can happen when one such gene accidentally mutates, and the resulting monster turns out to be viable. It would have many different traits, not just one.

    Reply
    [-]Gradus9y10

    Even so, it was probably very improbable, considered in an isolated event—but it only had to happen once, and there were a lot of tide pools.

    isn't it more likely that the "first replicator" was not a single event, but that it started multiple times and failed to survive in the vast majority of cases?

    Reply
    [-]I_D_Sparse8y10

    First comes some gene A which is simple, but at least a little useful on its own, so that A increases to universality in the gene pool. Now along comes gene B, which is only useful in the presence of A, but A is reliably present in the gene pool, so there's a reliable selection pressure in favor of B. Now a modified version of A arises, which depends on B, but doesn't break B's dependency on A/A. Then along comes C, which depends on A and B, and B, which depends on A* and C.

    Can anybody point me to some specific examples of this type of evolution? I'... (read more)

    Reply
    2tlhonmey3y
    Sure.  Your cells have two methods for copying DNA.  One of them is fast and highly accurate.  The other is quite slow and makes mistakes several times more often. The chemical structure of the accurate method is basically an order of magnitude more complex than the inaccurate one.  It seems likely that the inaccurate method is the remnant of some previous stage of development. The inaccurate method has stuck around because the error checking on the accurate method also causes the process to stall if it hits a damaged segment.  At which point the strand being copied gets kicked over to the older machinery. The new method, being significantly more complex, is dependent for assembly on significantly more complicated structures than the old method, structures which could not have been created without the old method or something like it.  Figuring out exactly how far down the stack of turtles goes is tricky though since all the evidence has long-since decayed.  Maybe as we get better at decoding DNA we'll find leftover scraps of some of them lurking in the seemingly-unused sections of various genomes.
    2gwern3y
    Coincidentally, Quanta has an article on a modification of RNA World hypothesis arguing something similar: https://www.quantamagazine.org/lifes-first-peptides-may-have-grown-on-rna-20220524/
    [-]wiserd5y20

    What's our standard for intelligence? Evolution has, with a planet and a few billion years, produced many, many things that humans have not yet been able to replicate. Or which we can't replicate efficiently. That's starting to change. But a process that can outperform a few billion people with a few thousand years of accumulated knowledge is still pretty formidable.

    I <i>do</i> think that there are many people in the biological sciences who portray evolution as being more 'stupid' than it is. And that is a problem beca... (read more)

    Reply
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    The wonder of evolution is that it works at all.

    I mean that literally: If you want to marvel at evolution, that's what's marvel-worthy.

    How does optimization first arise in the universe? If an intelligent agent designed Nature, who designed the intelligent agent? Where is the first design that has no designer? The puzzle is not how the first stage of the bootstrap can be super-clever and super-efficient; the puzzle is how it can happen at all.

    Evolution resolves the infinite regression, not by being super-clever and super-efficient, but by being stupid and inefficient and working anyway. This is the marvel.

    For professional reasons, I often have to discuss the slowness, randomness, and blindness of evolution. Afterward someone says: "You just said that evolution can't plan simultaneous changes, and that evolution is very inefficient because mutations are random. Isn't that what the creationists say? That you couldn't assemble a watch by randomly shaking the parts in a box?"

    But the reply to creationists is not that you can assemble a watch by shaking the parts in a box. The reply is that this is not how evolution works. If you think that evolution does work by whirlwinds assembling 747s, then the creationists have successfully misrepresented biology to you; they've sold the strawman.

    The real answer is that complex machinery evolves either incrementally, or by adapting previous complex machinery used for a new purpose. Squirrels jump from treetop to treetop using just their muscles, but the length they can jump depends to some extent on the aerodynamics of their bodies. So now there are flying squirrels, so aerodynamic they can glide short distances. If birds were wiped out, the descendants of flying squirrels might reoccupy that ecological niche in ten million years, gliding membranes transformed into wings. And the creationists would say, "What good is half a wing? You'd just fall down and splat. How could squirrelbirds possibly have evolved incrementally?"

    That's how one complex adaptation can jump-start a new complex adaptation. Complexity can also accrete incrementally, starting from a single mutation.

    First comes some gene A which is simple, but at least a little useful on its own, so that A increases to universality in the gene pool. Now along comes gene B, which is only useful in the presence of A, but A is reliably present in the gene pool, so there's a reliable selection pressure in favor of B. Now a modified version of A* arises, which depends on B, but doesn't break B's dependency on A/A*. Then along comes C, which depends on A* and B, and B*, which depends on A* and C. Soon you've got "irreducibly complex" machinery that breaks if you take out any single piece.

    And yet you can still visualize the trail backward to that single piece: you can, without breaking the whole machine, make one piece less dependent on another piece, and do this a few times, until you can take out one whole piece without breaking the machine, and so on until you've turned a ticking watch back into a crude sundial.

    Here's an example: DNA stores information very nicely, in a durable format that allows for exact duplication. A ribosome turns that stored information into a sequence of amino acids, a protein, which folds up into a variety of chemically active shapes. The combined system, DNA and ribosome, can build all sorts of protein machinery. But what good is DNA, without a ribosome that turns DNA information into proteins? What good is a ribosome, without DNA to tell it which proteins to make?

    Organisms don't always leave fossils, and evolutionary biology can't always figure out the incremental pathway. But in this case we do know how it happened. RNA shares with DNA the property of being able to carry information and replicate itself, although RNA is less durable and copies less accurately. And RNA also shares the ability of proteins to fold up into chemically active shapes, though it's not as versatile as the amino acid chains of proteins. Almost certainly, RNA is the single A which predates the mutually dependent A* and B.

    It's just as important to note that RNA does the combined job of DNA and proteins poorly, as that it does the combined job at all. It's amazing enough that a single molecule can both store information and manipulate chemistry. For it to do the job well would be a wholly unnecessary miracle.

    What was the very first replicator ever to exist? It may well have been an RNA strand, because by some strange coincidence, the chemical ingredients of RNA are chemicals that would have arisen naturally on the prebiotic Earth of 4 billion years ago. Please note: evolution does not explain the origin of life; evolutionary biology is not supposed to explain the first replicator, because the first replicator does not come from another replicator. Evolution describes statistical trends in replication. The first replicator wasn't a statistical trend, it was a pure accident. The notion that evolution should explain the origin of life is a pure strawman—more creationist misrepresentation.

    If you'd been watching the primordial soup on the day of the first replicator, the day that reshaped the Earth, you would not have been impressed by how well the first replicator replicated. The first replicator probably copied itself like a drunken monkey on LSD. It would have exhibited none of the signs of careful fine-tuning embodied in modern replicators, because the first replicator was an accident. It was not needful for that single strand of RNA, or chemical hypercycle, or pattern in clay, to replicate gracefully. It just had to happen at all. Even so, it was probably very improbable, considered in an isolated event—but it only had to happen once, and there were a lot of tide pools. A few billions of years later, the replicators are walking on the moon.

    The first accidental replicator was the most important molecule in the history of time. But if you praised it too highly, attributing to it all sorts of wonderful replication-aiding capabilities, you would be missing the whole point.

    Don't think that, in the political battle between evolutionists and creationists, whoever praises evolution must be on the side of science. Science has a very exact idea of the capabilities of evolution. If you praise evolution one millimeter higher than this, you're not "fighting on evolution's side" against creationism. You're being scientifically inaccurate, full stop. You're falling into a creationist trap by insisting that, yes, a whirlwind does have the power to assemble a 747! Isn't that amazing! How wonderfully intelligent is evolution, how praiseworthy! Look at me, I'm pledging my allegiance to science! The more nice things I say about evolution, the more I must be on evolution's side against the creationists!

    But to praise evolution too highly destroys the real wonder, which is not how well evolution designs things, but that a naturally occurring process manages to design anything at all.

    So let us dispose of the idea that evolution is a wonderful designer, or a wonderful conductor of species destinies, which we human beings ought to imitate. For human intelligence to imitate evolution as a designer, would be like a sophisticated modern bacterium trying to imitate the first replicator as a biochemist. As T. H. Huxley, "Darwin's Bulldog", put it:

    Let us understand, once and for all, that the ethical progress of society depends, not on imitating the cosmic process, still less in running away from it, but in combating it.

    Huxley didn't say that because he disbelieved in evolution, but because he understood it all too well.

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