I spent some time reading the critics, and this bore [sic] my frustration. I could not find one author who treated Dembski's work fairly! If someone could fairly refute Dembski's work I'd be all over it, but I haven't found anyone! Instead its all passive aggressive ad homineum [sic] and brow beating, with ample burning of strawmen, very tiring to read.So the discussion at UD continues, hermetically sealed in a self-reinforcing bubble (though I notice now that in that discussion Elizabeth Liddle has tried to raise the relevant point). Note added 8/29/2011: Eric Holloway has now replied to this post in a post he made recently at Uncommon Descent. For my response to this reply, see the two comments I have made below dated 8/29/2011 at 1:17am and the one following that.
Criticisms of Dembski's <i>No Free Lunch</i> go unnoticed . . . again and again
Over at Uncommon Descent, Eric Holloway
has declared that the
critics of William Dembski's 2002 book No Free Lunch actually
accept that the No Free Lunch Theorem applies to evolution. He uses as his
evidence the replies to Dembski's use of the NFLT
by Allen Orr
and
by David Wolpert
(who co-wrote the original NFL paper). They had argued that evolution was a
more complicated process than the simple model used in the NFLT, a model that
for evolution would associate fitnesses with genotypes in a simple search for the genotype of highest fitness. So aren't computer scientists (Wolpert) and biologists (Orr)
implicitly acknowledging that the NFLT theorem applies to any such simple model, and prevents it from searching effectively?
But there have been other criticisms of Dembski's use of the NFLT,
and Holloway does not cite them. I summarized them in
a 2007 article
I wrote in Reports of the National Center for Science Education. And in
the matter of the use of the NFLT my criticisms were actually not new --- as
I noted there, the fundamental point had been made many times since 2002,
originally in
a 2002 article by Richard Wein,
and also in articles by
Jason Rosenhouse (2002),
Mark Perakh (2003),
Jeffrey Shallit and Wesley Elsberry (2004),
Erik Tellgren (2005),
and Olle Häggström (2007).
I will immodestly claim
that my article is the clearest of these many clear articles.
So what is this oft-repeated criticism? When we have a simple model of
evolution with genotypes and phenotypes, the NFLT argues that if we
average over all the ways that set of fitnesses could be associated with
the genotypes, that a simple model of search that climbs uphill on
the fitness surface cannot do any better than a random search by pure
mutation (one which is unaided by natural selection). That is disastrously
bad. It sounds like it says that natural selection in such a model cannot
work at all.
But notice the averaging part. It is critical to Wolpert and Macready's
theorem. In effect, it says that we are dealing with an infinitely rough
fitness surface. If we change a genotype by making one mutation --- changing a
single position in its DNA --- we arrive at a genotype whose fitness is
randomly chosen from the whole set of possible fitnesses. In effect,
a single mutation has the same effect as mutating every site in the genome
simultaneously. (I apologize for shouting, but the point is not being
noticed over at UD).
Of course real biology doesn't work like this. Mutations are on average
worse, but they mostly don't instantly reduce the organism to rubble. In the
real world, nearby genotypes are usually similar in fitness --- often a
bit worse but sometimes a bit better. In the NFLT world essentially all
mutations are disastrous, and evolution would not work. So the No Free
Lunch Theorem does not model real biology, not even in a simple model of
evolution searching for genotypes of higher fitness on a fitness surface.
So far Holloway has not cited any of these criticisms, and when asked by
a polite commenter whether there are any such criticisms, he has simply
declared that
139 Comments
mrg · 23 August 2011
I'm not entirely following all of the NFLT argument for ID because it screams "red herring" on the face of it, and it is uninteresting to work to learn something just to confirm that yes, it is as bogus as it appears ...
... but it seems the root fallacy is like that of a supply officer for a military unit who determines the average size of the troops in the unit, and then obtains uniforms for them all in that one size.
Reed A. Cartwright · 23 August 2011
I think it's the other way around. It's like a supply officer saying that it is impossible to order uniforms for a unit because the sizes of troops are random.
Of course, one can go out and measure a specific unit and order the uniforms that fit them.
mrg · 23 August 2011
Reed A. Cartwright · 23 August 2011
Well in my army, everyone get hand tailored uniforms because the military-sartorial complex is too powerful in Washington. Gotta spend the tax dollars somewhere.
mrg · 23 August 2011
RodW · 23 August 2011
So what has Dembski said in reply to these criticisms?
mrg · 23 August 2011
He says: "I don't have to match your pathetic level of detail."
ogremk5 · 23 August 2011
I think the whole point of that article on UD was to make that ONE quotemine of Wolpert.
harold · 23 August 2011
Uncommon Descent used to be amusing because of the unstable nature of Dembski and DaveScot (maybe I'm crazy, but I always wondered if the latter was Berlinski - but of course, extreme arrogance, foul temper, and claims of mathematical genius are a common trait cluster).
Now it's just a rubber room for a tiny cult of not-very-bright deniers. I doubt if there's much of a recruitment rate.
Possibly relevant - there has been some evidence of increased acceptance of evolution in polls since 2005.
I've often complained about polls that bias the question with implications that accepting evolution contradicts religion. This latest Gallup poll simply used a "yes, no, don't know" structure. The response of science supporters has been, understandably, to complain about the mere 39% "yes" rate, but look at the rest. Only 25% outright deny evolution. I personally see it as a sign of honesty that 36% admit they "don't know". Also, when broken down by education, the "yes" to "don't know" ratio increases, which suggests honest answers. I'd certainly like to see more "yes", but a 39:25 "yes/no" ratio is probably an improvement over past levels. http://www.gallup.com/poll/114544/darwin-birthday-believe-evolution.aspx
Also, FASEB did a poll, the raw results of which I can't find, in 2008. They claim a 61% rate of acceptance of evolution among Americans. That poll was apparently structured in the biasing "did God create humans of did they evolve" format, but nevertheless, "only evolution" and "evolution guide by God" apparently combined to 61%. I need to find the raw questions and how the sampling was done, but that seems like an improvement over similar polls of the past. Caveat - FASEB is a "pro-science" source, of course.
Obviously, we can't be sure whether any of this is related to ID. But one possible tentative conclusion is that the whole ID scheme backfired. Bringing evolution into the media again and provoking scientists to make strong rebuttals mildly to moderately increased public understanding and acceptance of evolution. As I said, this is just a tentative, hypothetical idea, but it's intuitively credible.
In particular, it fits with my personal experience from the early heydays of ID - when I tried to actually explain ID and counter it with an explanation of evolution to actual neutral people from non-science backgrounds, they saw the logical flaws in ID much more quickly than I expected (which is evidence of how dishonest and/or conflicted creationist trolls are).
mrg · 23 August 2011
https://me.yahoo.com/a/Qjp5enRppdSW.nr6IdCgLASLhOc-#9be9d · 23 August 2011
eric · 23 August 2011
rni.boh · 23 August 2011
mrg · 23 August 2011
Joe Felsenstein · 23 August 2011
Rolf · 23 August 2011
harold · 23 August 2011
mrg · 23 August 2011
Mike Elzinga · 23 August 2011
Joe Felsenstein · 23 August 2011
https://me.yahoo.com/a/Qjp5enRppdSW.nr6IdCgLASLhOc-#9be9d · 23 August 2011
In addition to Dr. Felsenstein's smoothness argument, it seems to me........
The peaks in biology are not independent of the organisms' presence on them, but exhibit non-linear self-feedback. One way to get off being "trapped on a fitness peak" is to have lots of nearly identical offspring. Should they compete heavily with each other in the same niche, propagate disease, etc., average fitness will go down. Their (or some eventual even higher populated generation's) offspring can then wander around the fitness landscape again after the peak has been "leveled".
harold · 23 August 2011
mrg · 23 August 2011
Joe Felsenstein · 23 August 2011
harold · 23 August 2011
mrg -
I do assign them more "logic", in the sense of being consciously or unconsciously able to pursue their authoritarian goals, than some others do.
It's also true that the human mind is a complex thing.
If a used car salesman is trying to sell someone a car, a very concrete interpretation would be that the salesman is an idiot who sincerely believes everything he says about a lousy car. A slightly more sophisticated interpretation is that he's a conscious dastardly schemer who is secretly chuckling, and that's sometimes true. But perhaps more often, even while being driven by his desire to sell the car, he begins to believe
his own lines. Nevertheless, he wouldn't be issuing them if it weren't for his desire to sell the car.
What authoritarians with sexual, gender, and ethnic obsessions are trying to sell is more complex and abstract, but it's kind of the same.
Henry J · 23 August 2011
Anybody who thinks lunch is free hasn't been to a fast food place lately. :p
https://me.yahoo.com/a/Qjp5enRppdSW.nr6IdCgLASLhOc-#9be9d · 23 August 2011
Who is Eric Holloway?
Mike Elzinga · 23 August 2011
mrg · 23 August 2011
Joe Felsenstein · 23 August 2011
Tom English · 23 August 2011
Tom English · 23 August 2011
Had some problems posting, and lost track of a revision: "But divergence of one biological type from another does not depend on either type being fitter than the other in any sense."
Mike Elzinga · 23 August 2011
Joe Felsenstein · 24 August 2011
Rolf · 24 August 2011
A very interesting thread with ideas expressed that are in harmony with my way of thinking.
But with respect to Dembski I think we have to acknowledge that he has painted himself into a corner out of which the cost of backing out is preemptive.
Paul Burnett · 24 August 2011
SWT · 24 August 2011
ogremk5 · 24 August 2011
Starbuck · 24 August 2011
Is it still a barrier, though if the peak remains for a timescale thats larger than the timescale necessary to reach the peak?
Tom English · 24 August 2011
mrg · 24 August 2011
harold · 24 August 2011
mrg · 24 August 2011
Joe Felsenstein · 24 August 2011
mrg · 24 August 2011
harold · 24 August 2011
Joe Felsenstein -
Yes, I very strongly support his right to hold and express his own views on his own time.
Joe Felsenstein · 24 August 2011
I was recently granted (by the PT powers-that-be) the power to manage comments here. Some seem to need approval by me (perhaps from people who are not logged in). I'm just learning the system.
If you posted a comment and it has not been approved, please be patient -- I just figured out that I need to do that. Now I need to rush off for several hours on other business. Please be patient, this is not censorship, it is merely incompetence.
mrg · 24 August 2011
eric · 24 August 2011
Richard B. Hoppe · 24 August 2011
mrg · 24 August 2011
https://me.yahoo.com/a/Qjp5enRppdSW.nr6IdCgLASLhOc-#9be9d · 24 August 2011
SWT · 24 August 2011
mrg · 24 August 2011
Joe Felsenstein · 24 August 2011
mrg · 24 August 2011
Reed A. Cartwright · 24 August 2011
Mike Elzinga · 24 August 2011
mrg · 24 August 2011
Tom English · 24 August 2011
https://me.yahoo.com/a/Qjp5enRppdSW.nr6IdCgLASLhOc-#9be9d · 24 August 2011
Mike Elzinga · 24 August 2011
Joe Felsenstein · 24 August 2011
https://me.yahoo.com/a/Qjp5enRppdSW.nr6IdCgLASLhOc-#9be9d · 24 August 2011
There's a 3rd category besides creationist debaters.
EH's a serious creationist -- choosing to specialize in evolutionary algorithms. He's not a person in the pew who accepts cre-ism like they accept sand in the Sahara -- without fervor, interest, nor understanding of why/how/etc.
Serious creationism is more than a series of bullet points on a doctrinal statement -- it's contempt for much of the science community, history, etc as delusional/incompetent/ideological/etc.
Thus EH gets "bored to frustration" reading things he rejects. Why try to grok the workings of mediocrities/ideologues?
What is your explanation for behavior you point tout?
Joe Felsenstein · 24 August 2011
mrg · 24 August 2011
https://me.yahoo.com/a/Qjp5enRppdSW.nr6IdCgLASLhOc-#9be9d · 24 August 2011
tout"?mrg · 24 August 2011
Joe Felsenstein · 24 August 2011
Re: who pointing tout what
I give up on that part of the thread. I am less interested in Holloway's motivation and past influences than I am in how he reconciles his training in evolutionary algorithms and his call for serious comment by computer scientists with his ability to ignore the most serious criticism that has been made (and by about 7 people over the years) of the use of the No Free Lunch argument against evolutionary theory. The NFL argument is, after all, arguing that natural selection cannot improve fitness effectively in a simple evolutionary algorithm, and he's supposed to know about such things.
mrg · 24 August 2011
Flint · 24 August 2011
Maybe someone can lend me a hand here, since I've never understood the fitness landscape. Let's say a species has 1000 characteristics that contribute to its success. Let's say that some mutation alters one of these in such a way as to make the possessor of this mutation less competitive for the old lifestyle, but more competitive for a slightly different lifestyle. Evolution being opportunistic, I should think this is more the rule than the exception. So do we say its fitness peak moved, or do we say that there's an upward path to a different peak? If the organisms currently occupying this different niche aren't as competitive as the new "invasive" species, then could this be a downward path? Or what WOULD its slope be considered?
With so many characteristics to modify, I would envision paths of all different slopes heading in all directions all the time, even with a stable environment. Is this accurate? How does NFL handle this situation?
harold · 24 August 2011
mrg · 24 August 2011
Flint · 24 August 2011
mrg · 24 August 2011
Henry J · 24 August 2011
Henry J · 24 August 2011
How did that NFL theorem get that name, anyway?
Joe Felsenstein · 24 August 2011
Joe Felsenstein · 24 August 2011
Joe Felsenstein · 24 August 2011
Flint · 24 August 2011
Mike Elzinga · 25 August 2011
RodW · 25 August 2011
Rumraket · 25 August 2011
RodW · 25 August 2011
Henry J · 25 August 2011
Mike Elzinga · 25 August 2011
Joe Felsenstein · 25 August 2011
Rumraket · 25 August 2011
Mike Elzinga · 25 August 2011
Tom English · 25 August 2011
Henry J · 25 August 2011
Tom English · 25 August 2011
Mike Elzinga · 25 August 2011
Dembski and Marks continue to set up the same straw-man argument every time. It is an egregious misrepresentation of what programs like genetic algorithms and Monte Carlo programs, for example, do.
When a computer program incorporates within its algorithms the very processes found in nature, the outputs produce what nature produces. What can possibly be so difficult in that for Dembski and Marks to understand?
They continue to take potshots at Dawkins’s Weasel program without recognizing that a simple shift in perspective turns the program into one in which atoms are settling into a configuration of potential wells by radiating energy. That’s what nature does. The results are things like crystals and living organisms.
There is no “answer smuggled in.” It’s a simulation of nature as we best can understand it, approximate it, and are able to cast it in the form of a set of algorithms that can run on a computer.
Way back in my ultrasonic imaging days I developed algorithms that synthesized the way a lens or focusing aperture guided rays to a focal point. I derived these from minimizing the time of travel from a point in one media to another point in another media. In effect, the computer became a lens that took all the captured waveform data from a scan with a single transducer and sharpened the image of what was inside the object being scanned. I even wrote programs that "injected" data into these focusing programs and measured their point-spread-functions under various conditions.
I didn’t put in the answer; I turned the computer into a lens. I instructed the computer to do what nature does when focusing.
Genetic algorithms and Dawkins’s little Weasel program are nature simulators; and insofar as they faithfully reproduce what falls out in nature, they confirm our understandings of nature.
Tom English · 25 August 2011
Tom English · 25 August 2011
Tom English · 25 August 2011
Tom English · 25 August 2011
Joe Felsenstein · 25 August 2011
Paul Burnett · 25 August 2011
Tom English · 25 August 2011
Mike Elzinga,
IDC is forensics. The objective of Dembski and Marks has been to show that simulation models that have long been on the creationists' shit list would not have "solved the search problem" unless the programmer had exploited information. The very craziest thing they do, IMO, is to regard fitness values as "information." In all evolutionary models, fitness is associated with the propensity to reproduce, so generating more offspring from more-fit individuals than from less-fit individuals is hardly "exploitation of information that is not available to blind search."
So-called search algorithms are sampling algorithms. If a sampling algorithm decides how to extend the sample on the basis of properties of the current sample, then it is biased, not informed. That's obvious, once said, but it seems not to appear in the optimization literature. I should publish, but my ADHD - Primarily Inattentive brain has been having a harder and harder time with writing. It seems that all I can turn out is little chunks. Posting here has been fun, but I'm generally very frustrated.
Henry J · 25 August 2011
Mike Elzinga · 25 August 2011
Dale Husband · 25 August 2011
Tom English · 25 August 2011
Joe Felsenstein · 25 August 2011
Joe Felsenstein · 25 August 2011
Joe Felsenstein · 25 August 2011
Tom English · 25 August 2011
Tom English · 26 August 2011
Tom English · 26 August 2011
Joe Felsenstein · 26 August 2011
Mike Elzinga · 26 August 2011
Tom English · 26 August 2011
My first NFL argument (during a student's thesis defense, in 1994) was that optimizing a function drawn uniformly at random is equivalent to optimizing the output of a uniform random number generator. That is, you don't have to construct the entire fitness function in advance of the optimization run by associating each individual with a random fitness value. You can generate the random fitness values on the fly. Clearly there is no strategy for optimizing the output of a uniform random number generator.
Joe Felsenstein · 26 August 2011
Rumraket · 26 August 2011
Would it not be more correct to say that, the theorem states that you can program a really smart algorithm to search a specific landscape for peaks or valleys very well(the search will be "optimized"). With specific rules for how the search behaves when it finds slopes(go left: measure hight, go right: measure hight, etc. etc.).
And if you change the landscape, your algorithm may do even better(and is this "highly optimized"). The ruleset is very effective at finding peaks.
But on most landscapes, it will do worse. The ruleset is less effective because the shape of the landscape doesn't match the "system" of your algorithm very well. It may be "confusing" to the system, and it may spend a lot of time wandering around in areas that look like noise from the outside(if you could see the whole landscape from the top).
And if you calculate how effective your algorithm is at finding peaks, averaged over all possible landscapes, it is performing no better than randomly guessing coordinates would do.
Joe Felsenstein · 26 August 2011
Mike Elzinga · 26 August 2011
Good! Progress. I’m always on the lookout for good non-mathematical analogies and metaphors that explain concepts and misconceptions.
If we look at the criticism that ID/creationists most often level at Dawkins’s Weasel program, for example, I think it would be that there is a target string. It is the presence of that target string that they say is putting the “answer” into the algorithm; and I think this “criticism” extends to genetic algorithms as well.
Now the misconception that I am seeing here is that they are conflating two similar sounding concepts. They note that scientists say that evolution is not targeted toward any particular phenotype, and so they criticize scientists for putting a target in a concept-illustrating program like Weasel.
But, to say that evolution is not targeted simply means – from the knowledge we have of nature – that there are literally billions upon billions of “targets” (hills or potential wells, if you like) that organisms are exploring; and this results in literally billions of phenotypes that survive at least for a period of time near many of those hills (wells).
Having a target in Weasel is simply and example of one such target out of myriads of targets in the real world; and the purpose of Weasel is to demonstrate how selection can help a local organism to converge on a target (phenotype). It is one “organism” climbing a nearby hill by acquiring fitness. In an analogous physics example, it is particles falling into a nearby configuration of wells by shedding energy.
So the Weasel program concentrates on a single hill (well); it does not “see” a broader landscape. It shows only how hills can be climbed or how wells become populated if there is something in the vicinity that “senses” the hill (well); and it shows that random variations can produce offspring that are closer to the peak (bottom) and selection keeps sorting out the ones that are closest.
The untargeted nature of evolution is captured in the fact that there is an entire landscape of hills (wells) which are being climbed (populated) by an entire array of creatures exploring that landscape. Any one of these creatures could end up on a number of nearby hills (wells) depending on how contingencies play out. There is a very low probability that any given creature will leap a great distance across that landscape.
Thus, as to memory, it is not likely that any given creature will have “memory” of other “distant” parts of the landscape. It is more likely to have “memory” about where it was, and is, in relation to a nearby hill (well); and it works its way toward a peak based on how fit it currently is.
My general impressions of the ID crowd come primarily from the misconceptions they have about the second law of thermodynamics, entropy, and evolution that they picked up from Henry Morris. As a result, they need to have an overriding “force” called “information” that “overcomes the second law of thermodynamics” in order to build complex systems of molecules and creatures.
Those misconceptions have led to their almost complete addiction to uniform random sampling of essentially infinite sample spaces in order to construct things that have a specified structure and behavior. Their misconceptions lead them to “prove” that this process cannot lead to evolution and complexity without the “input of information.”
But nature doesn’t work that way; so ID “proofs” are simply demonstrating that ID concepts of nature do not represent how nature actually behaves.
So when Dembski, et. al. claim that their concepts don’t simulate nature, the proper response should be to advise them to step back and learn how nature actually does things; and then put those processes in their programs.
(Oh; and don’t forget to initialize the variables in your programs.)
Joe Felsenstein · 26 August 2011
Kevin B · 26 August 2011
Mike Elzinga · 26 August 2011
harold · 27 August 2011
Let's take a step back here and look at what is really going on.
1) There is abundant evidence for biological evolution, from multiple fields of inquiry, all of which converges on the same conclusion. This evidence includes numerous incomplete but valid computer science and mathematical models of evolution or aspects of evolution.
2) Dembski starts with the pre-conceived goal of "proving evolution to be false".
3) Yet he does not familiarize himself with the relevant evidence, let alone address it. Immediately, his work is suspect on this grounds alone. We may compare him to someone seeking theoretical proof, for example, that Jared Lee Loughner did not did not engage is a shooting spree at an appearance by Representative Gabrielle Giffords. Even if he comes up with something plausible, how does he explain away the strong evidence in favor of that which he declares "theoretically impossible"?
4) We are spared the dilemma, fortunately, of a conflict between convincing evidence for the occurrence of evolution, and a compelling theoretical argument that the evidence cannot exist. Dembski does not provide a theoretical argument. In the case under discussion here, he misrepresents the NFL theorem as being a model which "theoretically disproves" biological evolution. However, the reaction of computer scientists, mathematicians, and biologists, including the many scholars cross-trained in two or all three of those fields, is pretty much unanimous. All neutral observers simply agree that Dembski has misapplied and misrepresented NFL theorem.
5) Eric Holloway engages in odd behavior. I think any reasonable observer would agree that the following are true of Eric Holloway - a) He starts with a rigid predisposition to "disprove" biological evolution. b) He ignores all relevant evidence. c) In fact he actively hides from relevant evidence. d) He issues the patently false claim that Dembski's interpretation of NFL has not been adequately refuted - yet he does so from a venue where he can control feedback, and when feedback to the contrary comes in, he refuses to acknowledge it.
Joe Felsenstein · 27 August 2011
Mike Elzinga · 27 August 2011
Joe Felsenstein · 27 August 2011
mrg · 28 August 2011
Joe Felsenstein · 28 August 2011
Oh here we go. Eric Holloway has posted a long
rantessay on the Broader Implications of ID.It seems it validates everything in a laundry-list of political and social opinions of his. First, it proves that Keynesian economic theory is wrong ...
Mike Elzinga · 28 August 2011
mrg · 28 August 2011
Mike Elzinga · 28 August 2011
Joe Felsenstein · 28 August 2011
You folks are missing the profound implications of ID. It makes lots of other scientific activities unnecessary.
Economists: Do you want to know whether Keynesian theory is correct? Don't study economics, just read William Dembski!
Physicists: Do you want to know how string theory fits into the rest of physics and gibes with physical reality? Stop messing around with those equations, read Denyse O'Leary instead!
Astronomers: Do you want to know whether intelligent life exists elsewhere and has any prospect of communicating with us? Turn off those telescopes and fire up the browser: Uncommon Descent knows the answer!
and of course
Biologists: Do you want to know about the history of life and the mechanisms that led to it? Stop the sequencing machine, and head to the nearest fundamentalist church where all will be revealed.
apokryltaros · 28 August 2011
Joe Felsenstein · 29 August 2011
Eric Holloway has finally responded to the Original Post in a new post at UD.
He cites David Wolpert as saying that the NFL applies to a simple model of evolution. He sees me as saying it does not apply to that model because "the relevant fitness landscape for evolution is not under the domain of the NFL."
Let me be even clearer. In a simple model of uphill search on a fitness surface NFLT applies. But what does it prove? It proves that this uphill search is on average ineffective, on average when averaged over all possible ways you could associate the fitnesses with the genotypes.
A typical one of these random associations of fitnesses with genotypes is a completely "jaggy" fitness surface. On it, a single base change at a single site carries you to a genotype that has a totally different fitness (randomly-drawn from all possible fitnesses). Now if you instead change all bases in the genome, simultaneously, you also get a randomly drawn fitness. So the two kinds of change should have the same average effect on fitness.
Holloway tries to argue that biology shows that fitness effects of mutations are indeed disastrous. Well, they aren't perfect but they sure aren't that disastrous!
So the fitness surfaces we actually have are not at all typical of the ones that contribute the overwhelmingly to the NFLT average. They are much better for natural selection, but that is swamped out in the NFLT average by all the jaggy ("white noise") fitness surfaces.
This being the case, Dembski's use of the NFLT does not have the effect of showing that natural selection cannot achieve substantial adaptation.
Holloway has a response for that. See the following comment.
Joe Felsenstein · 29 August 2011
Mike Elzinga · 29 August 2011
mrg · 29 August 2011
Joe Felsenstein · 29 August 2011
mrg · 29 August 2011
Mike Elzinga · 29 August 2011