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To recognize design is to recognize products of a like-minded process, identifying the real probability in question, Part I

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Intelligent Design
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specified complexity
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“Take the coins and dice and arrange them in a way that is evidently designed.” That was my instruction to groups of college science students who voluntarily attended my extra-curricular ID classes sponsored by Campus Crusade for Christ at James Madison University (even Jason Rosenhouse dropped in a few times). Many of the students were biology and science students hoping to learn truths that are forbidden topics in their regular classes…

They would each have two boxes, and each box contained dice and coins. They were instructed to randomly shake one box and then put designs in the other box. While they did their work, I and another volunteer would leave the room or turn our backs. After the students were done building their designs, I and the volunteer would inspect each box, and tell the students which boxes we felt contained a design, and the students would tell us if we passed or failed to recognize their designs. We never failed!

Granted, this was not a rigorous experiment, but the exercise was to get the point across that even with token objects like coins and dice, one can communicate design.

So what is the reason that human designs were recognized in the classroom exercise? Is it because one configuration of coins and dice are inherently more improbable than any other? Let us assume for the sake of argument that no configuration is more improbable than any other, why then do some configurations seem more special than others with respect to design? The answer is that some configurations suggest a like-minded process was involved in the assembly of the configuration rather than a chance process.

A Darwinist once remarked:

if you have 500 flips of a fair coin that all come up heads, given your qualification (“fair coin”), that is outcome is perfectly consistent with fair coins,

Law of Large Numbers vs. Keiths

But what is the real probability in question? It clearly isn’t about the probability of each possible 500-coin sequence, since each sequence is just as improbable as any other. Rather the probability that is truly in question is the probability our minds will recognize a sequence that conforms to our ideas of a non-random outcome. In other words, outcomes that look like “the products of a like-minded process, not a random process”. This may be a shocking statement so let me briefly review two scenarios.

A. 500-fair coins are discovered heads up on a table. We recognized it to be a non-random event based on the law of large numbers as described in The fundamental law of Intelligent Design.

B. 500-fair are discovered on a table. The coins were not there the day before. Each coin on the table is assigned a number 1-500. The pattern of heads and tails looks at first to be nothing special with 50% of the coins being heads. But then we find that the pattern of coins matches a blueprint that had been in a vault as far back as a year ago. Clearly this pattern also is non-random, but why?

The naïve and incorrect answer is “the probability of that pattern is 1 out of 2^500, therefore the event is non-random”. But that is the wrong answer since every other possible coin pattern has a chance of occurring of 1 out of 2^500 times.

The correct answer as to why the coin arrangement is non-random is “it conforms to blueprints”, or using ID terminology, “it conforms to independent specifications”. The independent specification in scenario B is the printed blueprint that had been stored away in the vault, the independent specification of scenario A is all-coins heads “blueprint” that is implicitly defined in our minds and math books.

The real probability at issue is the probability the independent specification will be realized by a random process.

We could end the story of scenario B by saying that a relative or friend put the design together as a surprise present to would-be observers that had access to the blueprint. But such a detail would only confirm what we already knew, that the coin configuration on the table was not the product of a random process, but rather a human-like, like-minded process.

I had an exchange with Graham2, where I said:

But what is it about that particular pattern [all fair coins heads] versus any other. Is it because the pattern is not consistent with the expectation of a random pattern? If so, then the pattern is special by its very nature.

to which Graham2 responded:

No No No No. There is nothing ‘special’ about any pattern. We attach significance to it because we like patterns, but statistically, there is nothing special about it. All sequences (patterns) are equally likely. They only become suspicious if we have specified them in advance.

Comment, Fundamental Law of ID

Whether Grahams2 is right or wrong is a moot point. Statistical tests can be used to reject chance as the explanation that certain artifacts look like the products of a like-minded process. The test is valid provided the blueprint wasn’t drawn up after the fact (postdictive blueprints).

A Darwinist will object and say, “that’s all well and fine, but we don’t have such blue prints for life. Give me sheet paper that has the blueprint of life and proof the blueprint was written before life began.” But the “blueprint” in question is already somewhat hard-wired into the human brain, that’s why in the exercise for the ID class, we never failed to detect design. Humans are like-minded and they make like-minded constructs that other humans recognize as designed.

The problem for Darwinism is that biological designs resemble human designs. Biological organisms look like like-minded designs except they look like they were crafted by a Mind far greater than any human mind. That’s why Dawkins said:

it was hard to be an atheist before Darwin: the illusion of living design is so overwhelming.

Richard Dawkins

Dawkins erred by saying “illusion of living design”, we know he should have said “reality of living design”. 🙂

How then can we reconstruct the blueprints embedded in the human mind in such a sufficiently rigorous way that we can then use the “blueprints” or independent specifications to perform statistical tests? How can we do it in a way that is unassailable to complaints of after-the-fact (postdictive) specifications?

That is the subject of Part II of this series. But briefly, I hinted toward at least a couple methods in previous discussions:

The fundamental law of Intelligent Design

Coordinated Complexity, the key to refuting single target and postdiction objections.

And there will be more to come, God willing.

NOTES

1. I mentioned “independent specification”. This obviously corresponds to Bill Dembksi’s notion of independent specification from Design Inference and No Free Lunch. I use the word blueprint to help illustrate the concept.

2. The physical coin patterns that conform to independent specifications can then be said to evidence specified improbability. I highly recommend the term “specified improbability” (SI) be used instead of Complex Specified Information (CSI). The term “Specified Improbability” is now being offered by Bill Dembski himself. I feel it more accurately describes what is being observed when identifying design, and the phrase is less confusing. See: Specified Improbability and Bill’s letter to me from way back.

3. I carefully avoided using CSI, information, or entropy to describe the design inference in the bulk of this essay. Those terms could have been used, but I avoided them to show that the problem of identifying design can be made with simpler more accessible arguments, and thus hopefully make the points more unassailable. This essay actually describes detection of CSI, but CSI has become such a loaded term in ID debates I refrained from using it. The phrase “Specified Improbability” conveys the idea better. The objects in the students’ boxes that were recognized as designed were improbable configurations that conformed to independent specifications, therefore they evidenced specified improbability, therefore they were designed.

Comments
So WTF with the missing triplets in the B set, with adjacent triplets and sequential triplets? It just seems odd. (cf. #31).Chance Ratcliff
December 21, 2013
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Definitely "bad" design. ;)Chance Ratcliff
December 21, 2013
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Even better:  ***  *   *   *   *   *  ***  ***** *   * *   *  * *  **  * *   * *     *     *   * *   * * * * *     *     *     ***** ***** * * * *     ****  *     *   * *   * *  ** *   * *      ***  *   * *   * *   *  ***  *****Chance Ratcliff
December 21, 2013
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Squint if y'all don't see it right away.Chance Ratcliff
December 21, 2013
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A better rendering:  111  1   1   1   1   1  111  11111 1   1 1   1  1 1  11  1 1   1 1     1     1   1 1   1 1 1 1 1     1     1     11111 11111 1 1 1 1     1111  1     1   1 1   1 1  11 1   1 1      111  1   1 1   1 1   1  111  11111Chance Ratcliff
December 21, 2013
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Paul Giem and JDH, well done. 111  1   1   1   1   1  111  11111 1   1 1   1  1 1  11  1 1   1 1     1     1   1 1   1 1 1 1 1     1     1     11111 11111 1 1 1 1     1111  1     1   1 1   1 1  11 1   1 1      111  1   1 1   1 1   1  111  11111 Chance Ratcliff
December 21, 2013
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JDH, I find your proposal ridiculous. How can B possibly be designed? If it spells out CHANCE, isn't it incompetent design, with the middle arm of the E too low, and the A being misshapen? Isn't it bad design if it spells out CHANCE instead of DESIGN? Doesn't that disprove design? Graham said (and he is right) that any one sequence is just as likely as any other sequence, so why should Sequence B be any more likely to be designed than Sequence A? You want to say that it spells out a word and therefore it is designed? Do you have any idea how many words can be made in a 210 bit string? Besides CHANCE and DESIGN, there could have been thousands, perhaps millions, of other words that could have been spelled, such as PURPLE, SWINGS, and HELPED, not to mention small letters, German words, Spanish words, Russian words in the Cyrillic alphabet, Greek words, Hebrew words, Arabic words, Korean words, Chinese words, Sanskrit words, and Sumerian words. Did you have a target sequence before you looked at the string? I bet you didn't. So why are you so sure that this particular string is designed? What about if you had arranged it into seven rows? The pattern you think you see entirely disappears. I think you are like Hamlet just peering into clouds and seeing familiar shapes. Why do you persist in seeing design? Besides that, isn't 210 bits below the universal probability bound, and therefore you can't say that B is designed? Maybe, since God designs everything, both Sequence A and Sequence B were designed, in which case, how can you say that Sequence B has any more design than Sequence A? I bet you don't have any answers for this, you stupid punk! I bet you've never even taken statistics. You still wanna tell me B is designed?Paul Giem
December 21, 2013
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Footnote to my #33, the triplets are more accurately described as octal, as opposed to decimal.Chance Ratcliff
December 21, 2013
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Addendum to my #31: for the B group, whether adjacent triplets or sequential triplets, the base 10 numbers 0, 3, 4, and 7 are present, while 1, 2, 5, and 6 are missing. Strange.Chance Ratcliff
December 21, 2013
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Paul Giem @12 Would I be literally spelling out "CHANCE" if I guessed that "B" was designed?JDH
December 20, 2013
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Both A and B seem a little off. Singles, Pairs, and Triplets histogram (adjacent pairs and triplets) A 0:   125 1:   85 00:  34 01:  26 10:  31 11:  14 000: 15 001: 11 010: 12 011: 3 100: 8 101: 11 110: 4 111: 6 B 0:   106 1:   104 00:  26 10:  25 01:  29 11:  25 000: 17 011: 20 100: 21 111: 12 Singles, Pairs, and Triplets histogram (sequential pairs and triplets) A 0:   125 1:   85 00:  70 01:  55 10:  54 11:  30 000: 37 001: 33 010: 44 011: 11 100: 33 101: 21 110: 10 111: 19 B 0:   106 1:   104 00:  49 01:  57 10:  57 11:  46 000: 49 011: 56 100: 57 111: 46 In string A, all pairs and triplets are represented, but there is some definite disparity between occurrences. In string B, some triplets are not represented at all, whether adjacent pairs or sequential iterations. The triplets 000, 111, 100, and 011 are represented in both B sets, but the other half of the triplet permutations are missing. Neither one looks strictly random, but if only one is actually designed, I'd go with B. EDIT: I assume coldcoffee's patterns are found on B.Chance Ratcliff
December 20, 2013
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=> CentralScrutinizer, Graham2,cantor,Eric The HHH vs HHT sequnece odds 1/2 follows Fibonacci series, HHH vs TTH odds 3/10 follows Padovan series, HHT vs THT odds 5/8 follows non-attacking bishops series, HTT vs TTT odds 7/8 follows Narayana’s cow series, HHT vs HTT odds 2/3 follows quarter square series.. and so oncoldcoffee
December 20, 2013
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Graham2 @13: You are correct that from a purely statistical standpoint any particular sequence of 500 coins is just as improbable as any other particular sequence of 500 coins. However, there are two important issues at play. 1. As Mapou points out, if we say that a sequence of 500 heads is "just as probable as any random sequence," we are tricking ourselves, because the referenced "random sequence" is inadequately defined, and in fact encompasses a hugely massive group, whereas the 500 heads group is singular. In other words, it is vastly more likely that we will run into some old "random sequence" than it is that we will run into 500 heads. As a result, if we are to avoid allowing the vagary of our identification of sequences to cloud our judgment, we have to be very careful when arguing that 500 heads is just a probable as any other sequence, to specify precisely which other sequence we have in mind. That brings us to a related point (the one that I highlighted in my comment #3) that is important to ID: that of independent specification. 2. 500 heads is more "meaningful" than any old random sequence. Everyone knows it is more meaningful; indeed it jumps out at us, as you acknowledge. Why is that? Well, we recognize that it occupies a special set of 1, something unique in the sea of other possible sequences. Now, to be sure, 500 heads is not the only "meaningful" sequence, not the only one that communicates something or that stands out based on our experience, or sets itself apart from the sea of random sequences. We could probably come up with a number of sequences that would be immediately recognizable as "special" and perhaps several more that would be recognizable as "special" with some work. But the number of meaningful (to use my term) sequences is miniscule, a drop in the bucket, compared to the number of random meaningless sequences. Now it could well be that something like 500 heads is caused by necessity rather than design, so we would need to consider the possibility of necessity as an explanation. Same would go for sequences like all tails, or HTHTHT repeated, and so on. A long sequence of adjacent prime numbers in binary on the other hand, is not only immediately recognizable as meaningful, it is also recognizable as not something that would not likely occur by necessity. ----- Anyway, it is too late and I'm perhaps not explaining this as well as I might. But I think there are two critical aspects (though related) that need to be kept in mind: (i) the question of what we are claiming is just as probable as the other*, and (ii) the independent recognition of the specification as something "meaningful," if you will allow me to use that word. ----- * Incidentally, when arguing that 500 heads is just as probable as any other sequence, we quickly find that if we take just a little more effort to identify what "other sequence" we have in mind, we either end up giving some other unique specification, or we have to write out an entire random sequence of 500. This is why we never find anyone actually arguing that "500 heads is just as improbable as [actual sequence]." Instead the latter is left conveniently vague. To immediately see the other side of the coin, so to speak, try making the argument with a specific sequence in shorthand. Say, for example, "500 heads is just as improbable as 500 tails." Sure. We all agree. Or "500 heads is just as improbable as HTHTHT repeated over and over. Sure. I'm willing to agree. But notice in each of these kinds of cases we end up referring to one of the very few other "meaningful sequences" that potentially could be found amidst the sea of meaninglessness.Eric Anderson
December 20, 2013
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=> CentralScrutinizer, Graham2,cantor, The HHH vs HHT sequnece odds 1/2 follows Fibonacci series, HHH vs TTH odds 3/10 follows Padovan series, HHT vs THT odds 5/8 follows non-attacking bishops series, HTT vs TTT odds 7/8 follows Narayana's cow series, HHT vs HTT odds 2/3 follows quarter square series.. and so oncoldcoffee
December 20, 2013
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Look ... at the two-dimensional pattern
If I stare at it long enough, and cross my eyes, and play some Pink Floyd, will I see a face or something?cantor
December 20, 2013
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Paul Giem @24: Several years ago I read some papers by Greg Chaitin. I seem to recall he said you can never know for sure if any apparently random pattern is actually random. There may be some simple algorithm that generates it. It is not possible to rule that out. I'm assuming that's *not* what you meant when you said one was designed (i.e. it was not "designed" by generating it from a simple algorithm). Is that correct?cantor
December 20, 2013
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CentralScrutinizer @23: Read Post16.cantor
December 20, 2013
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Cantor, Look not only at the number of ones and zeroes, but also at the two-dimensional pattern. Then get ready to defend your answer.Paul Giem
December 20, 2013
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Graham2: All sequences have the same probabillity, and that is (1/2)^n. That is probability 101.
Only if the sequence is generated all at once. However, in a situation where 500 bits are generated sequentially, where there is no memory from one bit generation to the next, the number of sequences that contains a 50/50 distribution of ones and zeroes far out number the sequence of all zeroes.CentralScrutinizer
December 20, 2013
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Oops. Typo. I should have said B is designed.cantor
December 20, 2013
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Paul Giem @12 Well, there's only a one-in-a-thousand chance of getting 85 heads (B) in 210 flips of a fair coin, and a one-in-20 chance of getting 104 heads (A) in 210 flips of a fair coin. So if I had to choose, since one is random and the other designed, my guess would be that A is designed. Of course, you didn't explicitly stipulate that you did only one 210-flip trial to get the random pattern, but I am assuming that's what you meant. In other words, you didn't "design" the random pattern by doing repeated 210-flip trials until you got something lopsided (like only 85 heads).cantor
December 20, 2013
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cantor @19 wrote: There are 8 *permutations*. There are only 4 *combinations* Of those 4 combinations, 2 of them are 3 times more probable than the other 2.cantor
December 20, 2013
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Graham2 @15 wrote: "As an example, write down all possible combinations for 3 coins, ie: 8" There are 8 *permutations*. There are only 4 *combinations* . Graham2 @15 wrote: "etc etc etc, for all 8 combinations" 8 *permutations*cantor
December 20, 2013
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Graham2, Check out comment #12. Can you pick the designed sequence? Is it hard? How can you be reasonably sure you are correct?Paul Giem
December 20, 2013
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probabilities for unordered outcomes #heads: (%o5) 500 (%o6) 3.0549363634996047E-151 (%i7) (%o7) 490 (%o8) 7.5093570626414577E-131 (%i9) (%o9) 480 (%o10) 8.1481217255391563E-116 (%i11) (%o11) 470 (%o12) 4.4151760704460009E-103 (%i13) (%o13) 460 (%o14) 6.8561010581851309E-92 (%i15) (%o15) 450 (%o16) 7.0704144577228293E-82 (%i17) (%o17) 440 (%o18) 7.9566767033071793E-73 (%i19) (%o19) 430 (%o20) 1.3560904548240456E-64 (%i21) (%o21) 420 (%o22) 4.4143083255676851E-57 (%i23) (%o23) 410 (%o24) 3.260326580098254E-50 (%i25) (%o25) 400 (%o26) 6.2372459645159932E-44 (%i27) (%o27) 390 (%o28) 3.4310672035531094E-38 (%i29) (%o29) 380 (%o30) 5.9030476959980622E-33 (%i31) (%o31) 370 (%o32) 3.4021177134614534E-28 (%i33) (%o33) 360 (%o34) 6.9513988502272299E-24 (%i35) (%o35) 350 (%o36) 5.2788956350363829E-20 (%i37) (%o37) 340 (%o38) 1.5499249799853283E-16 (%i39) (%o39) 330 (%o40) 1.8186578531782093E-13 (%i41) (%o41) 320 (%o42) 8.7680376134625957E-11 (%i43) (%o43) 310 (%o44) 1.7774510269452038E-8 (%i45) (%o45) 300 (%o46) 1.5442550112234925E-6 (%i47) (%o47) 290 (%o48) 5.8397562360778391E-5 (%i49) (%o49) 280 (%o50) 9.7308127160684876E-4 (%i51) (%o51) 270 (%o52) 0.0072113402123203 (%i53) (%o53) 260 (%o54) 0.023923296060922 (%i55) (%o55) 250 (%o56) 0.035664645553349 (%i57)cantor
December 20, 2013
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A *sequence* is an ordered set. So Graham2 is correct: all *sequences* have the same probability. However, *unordered* outcomes (like "50% heads" or "100% heads") most certainly do *not* have the same probability: 50% heads probability is 0.035664646 100% heads probability is 3.0549E-151cantor
December 20, 2013
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As an example, write down all possible combinations for 3 coins, ie: 8 possible sequences. THH is 1 of the 8, so it has a probability of 1/8. HHH is 1 of 8, so it has a probability of 1/8, etc etc etc, for all 8 combinations.Graham2
December 20, 2013
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For all those who claim sequences have the same probability : Sequences do not have the same probability Here's a rehash of my comments elsewhere: Eg. In coin sequence, THH has an odds of 7 to 1 against HHH In fact sequence odds has been worked out in Penney’s Game J.A. Csirik has a formula for more than 3 bit sequence, which can be seen in the wiki reference or you could implement John Conway’s algorithm to calculate odds of various sequences against each other.selvaRajan
December 20, 2013
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All sequences have the same probabillity, and that is (1/2)^n. That is probability 101. The question of whether we should be suspicious of a particular sequence is a different question. We are (rightly) suspicious of 500 heads, but not because it is more or less likely than any other sequence, but because (as I understand it), it matches a pre-defined sequence, one that we regard as significant.Graham2
December 20, 2013
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Let's play this game. Graham2, or any Darwinist, or failing that, anyone at all, can play. Here are two different patterns of coins, stolen from my comment https://uncommondescent.com/intelligent-design/mark-frank-ok-im-with-you-fellas/#comment-484552 , with heads represented as 1 and tails as 0. If I tell you (honestly, but how do you know besides that you trust me) that one was done by flipping coins, and one was done by an intelligent design, can you tell which is which? Do you believe me? And do you know how the intelligently designed pattern was made? Do you have any way to tell? (this is less than 500 bits/flips) A 10010001010100111010110010000111011 00101001100001010111001010110110110 10101010011000001001010101010000000 01101110111010001101111001100011110 11011100111111010000001011110100111 01001001011110001101000001000111101 B 01110010001000100010001001110011111 10001010001001010011001010001010000 10000010001010001010101010000010000 10000011111011111010101010000011110 10000010001010001010011010001010000 01110010001010001010001001110011111Paul Giem
December 20, 2013
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