As most readers know, William Dembski and Robert Marks recently published
a paper in an
IEEE journal that
purports to show that
In critiquing his [Dawkins'] example and arguing that information is not created by unguided evolutionary processes, we are indeed making an argument that supports ID.
Various science bloggers have critiqued it; see
here,
here, and
here for examples.
Now the Metropolis Sampler has published
a more technical analysis of the paper, concluding that
The fundamental lesson here is that the Dembski-Marks approach to evaluating model assumptions is both arbitrary and a poor reflection of scientific reasoning. Model assumptions are not accepted or rejected based on a numerical measure of how many logical possibilities that are ruled out or how far probability distributions deviate from uniform measures. Rather, model assumptions are accepted or rejected based on predictive and descriptive accuracy, domain of applicability, ability to unify existing models and empirical knowledge, and so on.
ID creationists persistently use models that misrepresent theories (or in the case of the WEASEL hoorah, misrepresent what the model is intended to represent), and then conclude (on the basis of syntactic manipulations of the model) that the theories are invalid. Dembski, of course, is a serial offender in this respect, and it's a pity that he's inveigled Marks into sharing his delusions.
128 Comments
386sx · 9 September 2009
DistendedPendulusFrenulum · 9 September 2009
Um, evidence that may not convict Johnny of stealing doesn't necessarily exonerate Jimmy. . . .
386sx · 9 September 2009
"Although the monkey/Shakespeare model is useful for explaining the distinction between single-step selection and cumulative selection, it is misleading in important ways." --Richard Dawkins
Well, I guess I'm glad Mr. Dembski agrees with Mr. Dawkins about that. (I guess.) Lol.
Mike Elzinga · 9 September 2009
Anyone who has done even the simplest of computer programs to solve for root of equations would recognize that simply defining the problem to be solved also hauls in the characteristics of the allowed sets of solutions and the domains over which the functions are defined.
Even the Newton-Raphson method for finding the zeroes of a function makes use of differentiability.
Things like continuity, differentiability, analyticity or whatever other characteristics apply to the possible solution sets are all used in the computer algorithms that solve problems. You can’t even talk about solving a problem without envisioning the allowed solution sets and their characteristics.
It is also a scientific fact that much of the world of physics and chemistry, and by implication biology, are very well represented by mathematical functions which have the properties of continuity, differentiability, analyticity as well as domains over which the functions have any meaning.
Even in cases involving discreet solutions, such as those in quantum mechanics, we can know from Schrödinger’s equation, for example, what the distribution of probabilities might be.
And in highly non-linear problems that model much of the physical world, we see emergent properties and increasing complexity that accurately mimic the real world.
So D&M’s objections are both childish and churlish. Our understanding of nature is reflected in the accuracy of our computer models in producing observed phenomena.
We don’t smuggle in the answer, as they keep saying; we put in the processes of Nature as we understand them. Those processes lead to the “answers” in our programs, just as they do in Nature.
chooseyourweapon · 9 September 2009
This blog is listed on
www.creationism.com
Dueling news feeds!
Keep an eye on the other guy!
wile coyote · 9 September 2009
harold · 9 September 2009
And of course, it's just another lazy attempt by creationists to "prove that evolution can't be possible" without addressing biology at all.
What about the very obvious measurable fact that when nucleic acids replicate in biological systems, the sequence of the copy strands is virtually never exactly the same as the sequence of the template strand (as would be predicted by everything we know about physics and chemistry)?
What about the undeniable fact that some nucleic acid changes will lead to phenotypic changes, and that some phenotypes will have a relative reproductive advantage, making it statistically likely that associated alleles will increase in frequency in the population?
What about the obvious fact that distribution of alleles can also be impacted by what we humans experience as "random chance", and that such effects can be quite strong when population sizes are low?
All of the above can be observed and quantified with ease. If the above is happening, and it is, then life MUST evolve.
How does Dembski square his abstract claim that evolution must be impossible (and that is clearly what he is claiming) with the simple observed fact that it must be happening?
Also, of course, even if we throw up our hands and "agree" with him that evolution as we now understand it "must be impossible" due to some arcane characteristic of "information", what is his explanation of the diversity of life on earth? If grizzly bears and polar bears aren't more similar to each other than they are to raccoons because of evolution, how does HE explain life's diversity? If he can "prove" that our major explanatory theory is wrong, what does he propose to replace it with?
Mike Elzinga · 9 September 2009
DNAJock · 9 September 2009
Any student of physics knows that cartoons have their own Laws of Physics.
Paul Burnett · 9 September 2009
Daffyd ap Morgen · 9 September 2009
Henry J · 9 September 2009
Not to mention the bird seed as bait, for a bird that would prefer a nice juicy lizard or snake... ;)
Mike Elzinga · 9 September 2009
tom w · 9 September 2009
KP · 9 September 2009
Creationists never stop trying to find a way to disprove evolution. Attack the biological evidence, get refuted. Attack the paleontological evidence, get refuted. Attack the geological record to say the earth is young, get refuted. Try irreducible complexity, get BLOWN OUT OF THE WATER on the witness stand. So information theory is the last, and furthest removed, desperate area in which these simpering buffoons can pin their hopes.
Stanton · 9 September 2009
djlactin · 10 September 2009
No-one seems to have commented on the nature of the journal that Dembski published in:
IEEE is an acronym for "Institute of Electrical and Electronics Engineers" .
I am not surprised that he chose (was obliged to?) publish in an Engineering Journal, given the number of creation-supporting "scientists" who are actually engineers. The paper would not have gotten past a biologially-trained referee, who would (likely) be familiar with the true nature of the Weasel program.
Search 'IEEE' and you will find a site listing that is followed by the blurb: "Technical objectives center on advancing the theory and practice of electrical, electronics, and computer engineering and science."
How D's paper meets these goals is not clear to me.
RBH · 10 September 2009
Marks is a fellow of IEEE. However, judging from the length of the list of fellows in just the southwest region that's not a particularly rare phenomenon.
Kevin B · 10 September 2009
Ron Okimoto · 10 September 2009
SWT · 10 September 2009
SWT · 10 September 2009
And by "random variation + mutation" I meant "random variation + selection" ...
RBH · 10 September 2009
I've never been able to get an ID creationist to tell me where the 'smuggled information' came from in the case study lineage of The Evolution Origin of Complex Features. See here for a discussion here on PT )note that a platform migration totally wiped out the paragraphs in that post!).
DavidK · 10 September 2009
raven · 10 September 2009
Joe Felsenstein · 10 September 2009
raven · 10 September 2009
Traces · 10 September 2009
As a senior member of the IEEE, I am ashamed.
However, I must concur with the previous statement that this is easily the most obscure journal of the IEEE; I was unaware of it until now.
Ritchie Annand · 10 September 2009
stevaroni · 10 September 2009
harold · 10 September 2009
harold · 10 September 2009
Joel Felsenstein -
In fact, although again, I sympathize with your instincts, I find the most offensive statement in the entire exchange involving you and Raven to be your statement "you are the one who needs counseling".
You use the phrase "needs counseling" as a criticism. The implication is clearly that people who "need" counseling or therapy are less good than people who don't seek counseling or therapy.
Nobody "needs" anything except air, water, and a minimum supply of nutrients. Many people make use of professional therapy or counseling, for many reasons.
Obviously you didn't intend it that way.
Joe Felsenstein · 10 September 2009
raven · 10 September 2009
If you want to see who has made offensive statements.
Dembski openly hates "Enlightenment rationalism and scientific naturalism" and wants to replace them with a theocracy. At other times he has openly expressed his hatred of science and scientists. Once he said he wanted to disband all biology departments and fire all biologists.
He also made a bogus report to Homeland Security calling Eric Pianka, a prominent ecologist, a terrorist. Both Pianka and the Texas Academy of Science then received numerous death threats and Pianka was interviewed by the FBI. He never once said he was sorry, because he isn't.
As one who favors living in a free democratic country which was once the envy of the world and appreciates what modern science and medicine has done for us, this is profoundly unsettling and, you bet, offensive.
phantomreader42 · 10 September 2009
RBH · 10 September 2009
Amateurs (and often professionals) diagnosing cognitive or emotional disorders on the Internet is a fool's game at best, and is a style of commentary that's over the line. Commentary on the troubles of Dembski's (or anyone else's) family are out of line. So let that be the last of it. Had I not been busy elsewhere this afternoon I'd have sent the first offending post to the Bathroom Wall. Since there's a string of comments associated with it that have additional content I'll leave it, but let that be the last of such commentary.
Thanks,
RBH
fnxtr · 10 September 2009
Jimmy · 11 September 2009
You know, when this all broke out I actually went and commented on uncommon decent this, but apparently that was too easy, so they deleted my comment.
But seriously, was that so hard?
John Kwok · 11 September 2009
Frank J · 11 September 2009
John Kwok · 11 September 2009
novparl · 12 September 2009
"are hoping to illicit much sympathy from a scientifically illiterate..." - what about literacy in English?
Enezio E. de Almeida Filho · 12 September 2009
Why didn't Weber submit the critique to the IEEE journal? It seems to be the best appropriate place to critique Dembski's and Marks' paper.
John Kwok · 12 September 2009
SWT · 12 September 2009
Wesley R. Elsberry · 12 September 2009
Stanton · 12 September 2009
Tom English · 12 September 2009
For any physicists who happen to be paying attention:
I'm trying to get some help in arguing against the Dembski-Marks physical interpretation of active information.
As an unwashed non-physicist, I don't know of an instance in nature of a uniform random process over the full range of configurations of a macroscopic system, except when there is in some sense external control of the process. I'm thinking, for instance, that a deck of cards does not shuffle itself. Please set me straight, if necessary, or help me firm up my statement.
As a computer scientist, I know that it takes a lot of work to get a stream of apparently unbiased and uncorrelated bits from observations of quantum phenomena. Were I to be less "active" by ceasing to clean up the bit stream, a program using the stream to implement random search could gain active information. That is, reduced intervention of an "intelligent" entity in a search can introduce active information.
In the realm of engineering, the choice of a particular search algorithm over uniform sampling with replacement is in an intuitive sense active. We know that there is an engineer doing the choosing, and it is reasonable to ask, "What did you gain by doing things the way you did, rather than in an arbitrary fashion, and how did you know what to do?" But, as I have already shown, random search in computation does not result from inactivity. Thus the loaded term "active information" is problematic from the get-go.
When we turn to nature, there is no engineer to challenge as to choice of one process over another, unless we beg the question that nature is engineered. Deviations from uniformity in nature no more necessitate activity of some external entity than do deviations from uniformity in computation.
Thanks in advance for contributions to the argument.
hoary puccoon · 13 September 2009
Tom English--
The very strong input which creates the illusion of some "engineer doing the choosing" in evolution is the environment, including other living creatures. Lions and other African carnivores, for instance, do very actively choose less swift prey and those with less developed herd instincts. Consequently, they have "engineered" fast antelopes with strong herd instincts.
Dembski and the other IDers play on the general public's sense that animals like highly evolved antelopes must have been engineered in some way to claim that the engineer most have been some supernatural being.
You may note, however, that the carnivores are making life more difficult for their own descendants by creating ever swifter, more elusive, prey species. They never get together and decide, "say, let's go after those gazelles in the middle of the herd. That'll screw up gazelle herd instincts and make life easier for our grandchildren." This phenomenon is usually expressed by evolutionary theorists by the phrase, "evolution has no foresight."
ID theorists dwell endlessly on the apparent design in nature, but I've never read of one commenting on evolution's lack of foresight. If gazelles were truly shaped by a supernatural being instead of by lions and hyenas trying to make a living the easiest way possible, it must be a superlatively stupid supernatural being. The more plausible conclusion is, it's just lions and hyenas all the way down.
harold · 13 September 2009
wile coyote · 13 September 2009
A posting on UNCOMMON DESCENT identifies two individuals named "Tom English", one on each side of the ID fence. He may not be an evobasher; he may merely be someone with dismal communication skills.
Wesley R. Elsberry · 13 September 2009
Tom English is just one person, a published computer scientist with expertise in "No Free Lunch" theorems. He has criticized Dembski and Marks previously, while also saying that D&M have raised some legitimate questions. At one point, English lent his name as an associate of Marks' "Evolutionary Informatics Laboratory" effort as a protest against Baylor's actions, which English deemed to be contrary to academic freedom. English was clear then to distinguish his participation as such a protest, and not that he was agreeing with Marks and Dembski in their conceptual stances.
Tom's comment above is of a piece with his prior commentary on the topic: it accepts that some legitimate issues are raised, but notes some areas where the analysis by Dembski and Marks is misguided, and specifically he is seeking some further information to make a more extensive critique. While I tend to view the participation of Dembski and Marks in these topics to have little utility, seeing as the issues English notes as legitimate are not novel to D&M, I don't see the point to acting as if English is himself an enemy here.
Dan · 13 September 2009
Pete Dunkelberg · 13 September 2009
Jordan Wallace · 14 September 2009
The connection between ID and creationism is inconsistent with Dembski's argument. To associate the two is a generalization of the facts of the argument. I am a creationist and would acknowledge the ID assumptions, but my assumptions are far more broad in that I put a face to the Intelligence "giver". Associating the two is a means of charging the evolution-creation debate. ID makes some consistent scientific observations about the nature of intelligence. These questions are worthy of study especially in light of the complex nature of cellular structures compared with Darwin's simplistic view.
386sx · 14 September 2009
wile coyote · 14 September 2009
"You don't need to see his identification. These droids aren't the ones you're looking for. ID is not a superfical mask for traditional creationism." The FORCE gives power over the weak of mind!
fnxtr · 14 September 2009
eric · 14 September 2009
386sx · 14 September 2009
Jordan Wallace · 14 September 2009
John Kwok · 14 September 2009
John Kwok · 14 September 2009
John Kwok · 14 September 2009
Rilke's Granddaughter · 14 September 2009
You're still childish for subscribing to something that has no empirical support, John.
John Kwok · 14 September 2009
John Kwok · 14 September 2009
RG -
So you still think I am a "fan" and "autograph hound" simply because I asked Ken Miller to sign my copy of his "Only A Theory" at a New York City Brown alumni event held in his honor last spring? I think you are utterly delusional twit if you still believe that (I suppose you would make the same accusation of other Brunonians who asked Ken to sign copies of his books too at this event, right?).
SWT · 14 September 2009
eric · 14 September 2009
John Kwok · 14 September 2009
Rilke's Granddaughter · 14 September 2009
You're still childish for subscribing to something that has no empirical support, John.
Wheels · 14 September 2009
RBH · 14 September 2009
John Kwok · 14 September 2009
harold · 14 September 2009
Pete Dunkelberg and Wesley Elsberry -
Thanks for clearing up the identity of Tom English.
False claims to be a computer scientist, engineer, or physical scientist are common among creationist posters on the internet. I said perfectly clearly that I might be wrong and that my answer was the same anyway.
English's "questions" centered on purported analogies or models of biological evolution which are not used by anyone who understands biological evolution, and which were tantamount to straw man misrepresentations. I stated in my reply that I wasn't sure whether he was making those misrepresentations himself, or paraphrasing misrepresentations of Dembski and Marks.
I guess he's a well-meaning computer scientist and physicist who needs to learn more biology if he wants to discuss evolution.
I strongly defend my highly informative reply to him. Rather than merely explain that the existence of misleading straw man analogies does not challenge the theory of evolution, I went further and gave him terse but decent introduction to how biological evolution actually works. I'm sure he'll find that useful.
John Kwok · 14 September 2009
harold,
Great job on your reply to Tom English. Found it not only terse and to the point, but more importantly, quite lucid.
Appreciatively yours,
John
Stanton · 14 September 2009
SWT · 14 September 2009
Sylvilagus · 14 September 2009
DS · 14 September 2009
The structure of a cell is a complex of information systems working in an orderly fashion. Evolution (by evolution I mean Darwinian Evolution) provides a well documented mechanism or causation for the presence of such systems. They have been demonstrated to be produced by the combined effects of random mutations and cumulative selection. Of course, the ID argument is made on the basis of no evidence whatsoever, while the selection model hs been extensively documented for many structures and many different systems, many of which have been defined as "irreducibly complex" by ID advocates.
There, all fixed.
Stuart Weinstein · 14 September 2009
Tom English · 14 September 2009
Tom English · 14 September 2009
Tom English · 14 September 2009
Jordan Wallace · 14 September 2009
Dave Luckett · 14 September 2009
JW, Sylvilagus didn't state any "conclusion". S/he asked you for evidence.
You replied that you simply presuppose God, and therefore His craftsmanship. So you admit that there is no evidence of this?
Sylvilagus also asked you what evidence there is for design - engineering - in living things. You provided no evidence for that, either. You assume God; you assume his design. Evidence, apparently, is not required for these things, for you. Well, all right, if you say so. But let us enquire a little further.
You imply that your assumptions are of the same order as the assumption that naturalistic processes produced life. Not so. Your assumptions are far greater.
Naturalistic processes exist, and they operate by fixed principles that can be demonstrated empirically. They can, and do, create greater and greater amounts of complexity and order. There is no assumption there. It is true that the idea that they can produce self-replicating molecules in time, under the right conditions, is an extrapolation. But it is an extrapolation of evidence, not an assumption with no foundation whatsoever, like your assumptions.
And once self-replication occurs, then we are back in the arena of evidence once more. Descent with modification is a demonstrated fact. Natural selection is a demonstrated fact. Genetics, biochemical and molecular evidence, transitional species, perfect nesting, observed speciation and much other evidence, are demonstrated facts.
Thus, we must choose between a blind assumption on a basis of pure faith alone, and a much smaller extrapolation between two sets of known, demonstrable facts. I choose the latter.
fnxtr · 14 September 2009
If by "closed system" you mean the entire universe... yeah, I guess.
The method of inquiry as if natural processes are responsible for events and objects is used because it works.
It's all of a piece. For example: If the earth is 6,000 years old or so, then radio-isotope dating is wrong. If radio-isotope dating is wrong, then atomic theory, relativity, and quantum physics are all wrong. If they're wrong, your computer won't work. But it does. It's quite beautiful, really.
There may well be a 'first cause', but -- so far -- all understanding of the universe achieved in the last several hundred years shows that whatever it is, to all appearances it isn't currently interfering with natural processes. There is no reason to suspect biochemistry is any exception, except (heh), as you have admitted, a prior commitment to a supernatural explanation. Which is outside the scope of science.
You are free to believe whatever you want, but we ask you not to pretend it has any evidence behind it other than "just because".
fnxtr · 14 September 2009
I hope this was complementary to Dave's response and not redundant.
RBH · 15 September 2009
Tom English · 15 September 2009
RBH -
I often say that science places no restrictions on where you get hypotheses, but that people who get them from Genesis have trouble taking no for an answer from nature.
Dan · 15 September 2009
Tom English · 15 September 2009
Tom English · 15 September 2009
Stuart Weinstein · 15 September 2009
Dan · 15 September 2009
RBH · 15 September 2009
Wheels · 15 September 2009
Robin · 15 September 2009
Robin · 15 September 2009
John Kwok · 15 September 2009
Stanton,
Don't think I'd ever pass muster as an "Irish Jackie Chan".
However, on a more serious note, here's some more ample proof demonstrating that - contrary to Bill Dembski's breathtakingly inane assertion that ID demonstrates the "hand" of Yahweh as the "Intelligent Designer" - that if an Intelligent Designer ever existed, then he must have been a Klingon GOD:
http://www.geeks.co.uk/7200-klingon-keyboard-goes-on-sale
Qap'la,
John
Tom English · 15 September 2009
John Kwok · 15 September 2009
Tom,
As someone who claims expertise in statistics, Bil Dembski ought to know better than to claim something is "unique" with regards to uniform sampling with replacement. What he claims is "unique" is actually a nonsensical Panglossian approach to statistics, but one he knows will appeal to his fellow Xian faithful.
Regards,
John
Mike Elzinga · 16 September 2009
RBH · 16 September 2009
Mike Elzinga · 16 September 2009
wile coyote · 16 September 2009
Pete Dunkelberg · 16 September 2009
"No probability without process".
That is, the probability of things being a certain way is itself an outcome of the process(es) that lead to the result. For a simple example, the probability distribution of rolling dice is not a property of the dice. It is an outcome of rolling in a certain way (essentially random mixing). I can easily roll dice with my fingers to get the result I choose. And as everyone has commented, nature is full of processes that are not random mixing. When you find more than a few things together but not looking like a random mixture, that tells you that it is very likely that some processes besides (or in addition to) random mixing lead to the result.
An evolutionary process of note: repeated subsampling. It can take you far from the original distribution without anything else happening. And there are always other things happening.
wile coyote · 16 September 2009
Mike Elzinga · 16 September 2009
Henry J · 16 September 2009
Mike Elzinga · 16 September 2009
Stuart Weinstein · 16 September 2009
Wesley R. Elsberry · 16 September 2009
Dembski and Marks were, IIRC, following Wolpert and MacReady in taking for analysis situations where there is sampling without replacement, not sampling with replacement.
Tom English · 16 September 2009
I'm reading, folks. This is what I was looking for from the outset. Some of the remarks hang on my conceptual schemata, and others bounce off me. If you know the etymology of sophomore, you've got a good description of me in this context.
I believe that the non-existence of isolated systems is an important counter to the NFL regress. At UD, I told Dembski that there is no need to model a regress. He's committed to a finite universe, and the regress of environments in which there's a "search for a search" ends with the entire universe. Given that none of those environments is isolated, he should simply regard the universe as the environment of the base-level search. That is, his model collapses to a probability measure on Omega^n, and a probability measure on probability measures on Omega^n. This is a big problem for him, because there's no way to associate an objective probability with the universe. ("No probability without process," as Pete said.) Any statement that it is objectively improbable for the universe to do what it has done is absurd, as in meaningless.
Mike said that isolated systems are exceedingly rare, and I'd like to make sure I understand what he meant by that. We trace the observable universe back to a singularity, and I don't see how we can say that a physical system is isolated in an ultimate sense. It seems to me that we can at best frame a system in spacetime and argue that it is isolated within that frame. That's what I see Mike's experimenter in low-temperature physics doing. Am I making sense?
Tom English · 16 September 2009
Tom English · 16 September 2009
P.S. - I've come to suspect that D&M developed active information entirely in response to Dawkins. They've covered the possibility that the problem is to open a combination lock. The benchmark search process, X, is the monkey at a typewriter. Dawkins displayed on his computer screen an indication of how many trials it would take the monkey to produce the target phrase. There was an implicit comparison of the probability of success for the Weasel program to that for the monkey. All Dembski and Marks did was to make the ratio of probabilities explicit and "informaticize" it.
Mike Elzinga · 16 September 2009
Mike Elzinga · 16 September 2009
Dan · 17 September 2009
Mike Elzinga · 17 September 2009
Dan · 17 September 2009
Mike Elzinga · 17 September 2009
Mike Elzinga · 17 September 2009
I might add, with regard to the adiabatic demagnetization, I found a better way to get the data rather than having to push below 12 mK off the end of my dilution refrigerator.
The superconducting networks were so fragile to probing that I ended up developing a very highly sensitive SQUID magnetometer that enabled me to pull out both magnetic susceptibility and resistivity without having to attach anything to the samples. The rest involved very careful electromagnetic shielding to reduce interference inside the sample chamber of the dilution refrigerator.
The adiabatic demagnetization technique actually interfered with measurements and destroyed what I was trying to see. Measurements had to be made slowly and with only the slightest possible fields. That doesn’t work with one-shot dips to lower temperatures followed by warm-ups that are too fast to collect data.
I probably learned more about the difficulty of making an isolated system in that set of measurements than I ever learned from the literature or from textbooks.
Mike Elzinga · 26 September 2009
I think I had mentioned earlier (probably on another thread; I can’t seem to find it) that on a recent flying trip I was outlining a “Weasel” algorithm for the HP 48/49/50 series graphing calculator.
Well, I finished a version that allows different probabilities for going from an incorrect character to correct than for going vice-versa. Latching can be done by simply setting to zero the probability for a correct character to change.
I also did a complete analysis of the program (similar to what Wesley Elsberry did) and plotted up these results in MathCad (I could also do that on the calculator as well). The results compare extremely well with everything we have been saying before on those threads discussing the algorithm. The graph is a straight line on a semi-log (log vs. linear) plot for many values of probabilities, population size, number of characters and string length.
String manipulation on the HP calculators is mostly non-existent, but I used lists of integers instead. Manipulation of lists and vectors is quite efficient on these calculators.
Also, the target is generated randomly at the beginning, as is the original parent. The parent can be made to have no matches with the target. The randomly generated target emphasizes the fact that there is no “information” whatsoever in the target. Just the rules of nature are involved; and that’s not cheating.
As I suspected, the algorithm is a battery eater for this calculator. The number of integers, length of list, population size, probabilities, can all be set at the beginning, so the algorithm can run with smaller sizes to conserve batteries.
The program works well, as expected. But the kicker is that it can be done on a graphing calculator while those characters over at UD still can’t figure out how to do it on a computer. Not only another language (this time RPL), but an entirely different platform. :-)
RBH · 26 September 2009
Now you're showing off, Mike. :)
Mike Elzinga · 26 September 2009
Henry J · 29 September 2009
Mike Elzinga · 29 September 2009