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A Tiny Mathematical Proof Against Evolution [AKA - Million Monkeys Can't Type Shakespeare]
Nutters.org ^ | 13-Dec-1995 | Brett Watson

Posted on 03/05/2002 12:52:58 PM PST by Southack

There is a recurring claim among a certain group which goes along the lines of "software programs can self-form on their own if you leave enough computers on long enough" or "DNA will self-form given enough time" or even that a million monkeys typing randomly on a million keyboards for a million years will eventually produce the collected works of Shakespeare.

This mathematical proof goes a short distance toward showing in math what Nobel Prize winner Illya Prigogine first said in 1987 (see Order Out of Chaos), that the maximum possible "order" self-forming randomly in any system is the most improbable.

This particular math proof deals with the organized data in only the very first sentence of Hamlet self-forming. After one examines this proof, it should be readily apparent that even more complex forms of order, such as a short story, computer program, or DNA for a fox, are vastly more improbable.

So without further adue, here's the math:


TOPICS: Culture/Society; Miscellaneous
KEYWORDS: crevolist; sasu
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To: Southack
Then what does "random" mean in your world?

It isn't in "my world", it's what the word means. This is about a statistical argument. Statistically speaking, "random" means it has a uniform distribution, in that any possible outcome is equally likely. That's it. It has nothing to do with a lack of intelligent bias.

In more casual usage people use "random" to mean "by chance". Even though random effects play a role, evolution is NOT a random process.

Randomness would only be relevent to DNA formation if the it was postulated that an entire DNA molecule formed at one time, out of its component parts. Nobody believes that. The randomness argument is not relevent.

101 posted on 03/05/2002 2:54:53 PM PST by mlo
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To: general_re
Thanks for your response. However, I guess I was unable to elucidate my query sufficiently. I think I have a decent understanding of evolution via natural selection but I'm not understanding the whole concept of a prescribed 'final product' as it were. So let's try this. I'm from another world and don't breathe air, a step through my worm hole and suddenly I'm trapped on Earth. Now, I have pressure on me to adapt to breathe are right. The question is, how. How do I breathe air.

This question, in my mind, is akin to how do monkeys produce a line from Hamlet. How... I know I need to adapt but the 'final product', the facilitator of the answer to how is a function of random chance, no? I try this, I try that, and I keep on trying until I can breathe or I die. The 'final product' or the mechanism by which I can breathe is a total and complete unknown. I have no direction and there is nothing controlling the development of the 'how' adaptation. Therefore, based upon the probabilities provided by the monkey 'proof' it would seem a statistical impossibility that my random How adaptations could produce a suitable 'final product' or goal even when set in massive quantitative scenarios.

It seems, your explanation is fine if at the beginning of the process the aforementioned 'final product' or goal is known. But if the 'final product' is not known then developing it by random shots in the dark would seem impossible. You can't retain beneficial data when you don't have a clue if the data is beneficial. And determining the data's value is predicated upon knowning the final outcome in advance. Where am I going wrong here (and don't say by reading this thread)?
102 posted on 03/05/2002 2:56:05 PM PST by Texas_Jarhead
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To: Southack
"Feedback" implies intelligent intervention into the process.

No, it means the results of 'failed attempts at DNA formation' join the original inputs in the environment! No intelligence required!!!

103 posted on 03/05/2002 2:56:30 PM PST by Lev
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To: Southack
"Feedback" implies intelligent intervention into the process.

You are wrong about that too. "Feedback" does not imply intelligence.

104 posted on 03/05/2002 2:56:47 PM PST by mlo
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To: mlo
"It isn't in "my world", it's what the word means. This is about a statistical argument. Statistically speaking, "random" means it has a uniform distribution, in that any possible outcome is equally likely. That's it. It has nothing to do with a lack of intelligent bias."

How would you get a non-uniform, non-random probability distribution without intelligent bias?

105 posted on 03/05/2002 2:57:49 PM PST by Southack
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To: woollyone
See post #102. I think we're sort of in the same neighborhood.
106 posted on 03/05/2002 2:58:37 PM PST by Texas_Jarhead
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To: woollyone
In the end, fitness is not relevent.

the point is fitness IS relevant to natural evolution, but not in the monkey case described in the article. I attempted to change the monkey-model to resemble natural evolution .

as for an outside intelligence, in natural evolution the fitness test is just that: fitness/survivability in the environment.

107 posted on 03/05/2002 2:58:52 PM PST by gfactor
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To: cracker
Your Hamlet string has behind it a whole language, with idiom and abstract meaning, embeded in a complex cultural context. The compound only needs to specify

The language and its development is quite irrelevant here. Itis purely a mathematical problem. The monkey does not have any language base, knows not what he is typing, and the keys could be random numbers. The problem would not change. A string of DNA has many times more information in its structure than does an alphabet.

108 posted on 03/05/2002 2:58:53 PM PST by arthurus dot
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To: Southack
How would you get a non-uniform, non-random probability distribution without intelligent bias?

Why do you assume the only kind of bias is an intelligent one?

109 posted on 03/05/2002 3:00:39 PM PST by mlo
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To: Southack
"Random" simply means unaided by any intelligent bias.

more accurately, it means incompressible.

110 posted on 03/05/2002 3:00:42 PM PST by gfactor
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To: The Shootist
Funny how one species of finch became 36 species of finch in less than 10000 years.

And it's funny how none out of 26 species of finch ever became a dog, a cat, a monkey (which might or might not know how to type), or a human. The theory of evolution is an extrapolation of empirically witnessed "micro-evolution" (to borrow a term introduced elsewhere in this thread). Nowhere is there evidence of a mutation from one genus to another, much less from one kingdom, phylum, class, order, or family to another.

Don't cite spurious "evidence" of micro-evolution to support macro-evolutionary theory. (And, yes, there is a difference between the two. Macro evolution requires that an organism transforms from one species into an unrelated species - not that a finch may develop specialized characteristics and therefore be recognized as a "new" species.)

111 posted on 03/05/2002 3:00:55 PM PST by MortMan
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To: woollyone
At the very least, the math shows an event that couldn't happen, ever. The final resulting statistical probability is even greater number than the total number of electrons in the universe.

That's exactly the kind of argument that's used to proclaim the security of various encryption systems: If a long enough key is used, the time it would take to try all decryption combinations is many times longer than the life of the universe, or would require more computers than there are electrons in the universe, etc. [with various assumptions about computer power and algorithmic efficiency thrown into the mix].

Then along comes the still-infant technology of quantum computing, and suddenly all those estimates of impossibly long times and impossibly large numbers are called into question. Quantum computers can simultaneous examine all possible output states, and so (in theory) are not subject to the same exponential limitations as conventional computers. What were previously infinitesmally small probabilites are now substantial.

Quantum mechanics is real, and it is fundamental to the nature of this universe (and maybe an infinity or near-infinity of other universes). Even aside from the many valid points that other posters on this thread have made about the non-random, iterative nature of evolution, it is not impossible that quantum mechanical "random" processes could have produced a universe in which intelligent life evolved. No matter how "unlikely" that might seem to some people, our observation of that fact would be the consequence of our being an instance of that "unlikely" event.

112 posted on 03/05/2002 3:01:14 PM PST by dpwiener
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To: Lev
If you don't have a clue as to what the outcome should be then how do you know which attempts actually failed?
113 posted on 03/05/2002 3:01:19 PM PST by Texas_Jarhead
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To: RightWhale
This article is a great one, but many have negected to consider the true variables in their responses. The author asserts that he has had to modify the keyboard so that all letters are upper case only, and therefore has not calculated enough possible keystrokes. Also, he has based his calculation is the evo's favor by assuming these monkeys can type one line per second...that line contains 10 words, or, by his given speed, the monkeys typed at a rate of 600 words per minute. This is 15 times faster than the average human. Each one of the variables, when correctly multiplied into the equation will exponetially increase the results and thereby diminish the possibility of the event ever happening.

The correct variables put into the formula make for an event that wouldn't happen ever, anywhere, at any time.

...unless of course intellegence were somehow included.

114 posted on 03/05/2002 3:01:30 PM PST by woollyone
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To: mlo
How would you get a non-uniform, non-random probability distribution without intelligent bias (your claim, not mine)?
115 posted on 03/05/2002 3:01:58 PM PST by Southack
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To: mlo
To your #88. We must recognize that any activity that man himself cannot predict, he calls Random.

As in a card trick, the most important one is not the person who randomly picks a card, but the One who arranged the cards in the first place.

With evolution, what seems uncontolled, without any intelligent design, has actually been very precisely controlled from the outset, by the Master Magician, who laid all the cards in place.

It could be that the true Creation moment, was actually the creation of Evolution itself, which is a guiding process, empowered by God to bring about every living thing, and their future modifications, from the moment of the Big Bang, onward through time.

116 posted on 03/05/2002 3:02:20 PM PST by spoiler2
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To: Southack
"Feedback" implies intelligent intervention into the process.

it does not at all. in natural evolution, the more fit (for their environment) specimens reproduce. thats feedback.

117 posted on 03/05/2002 3:02:22 PM PST by gfactor
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To: Texas_Jarhead
Now, I have pressure on me to adapt to breathe are right. The question is, how. How do I breathe air.

You die. That's what happened to most dinosaurs. Organisms don't evolve in one or two generations just because there is a sudden need. E.g. when content of the atmosphere starts to sloooooooooowly change some of the random mutations result in changes that 'fit' new conditions better - these individuals reproduce, passing 'better' genes to next generation. etc.

118 posted on 03/05/2002 3:03:35 PM PST by Lev
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To: gjenkins
How many molecules are in this 32-mer peptide? Is there a model/pisture of it somewhere?

32 amino acids. (That's why a "polymer" is a chain of "monomers"! :-)

Here's a page I found with some animation of the peptide.

119 posted on 03/05/2002 3:05:15 PM PST by jennyp
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To: MortMan
And it's funny how none out of 26 species of finch ever became a dog, a cat, a monkey (which might or might not know how to type), or a human

its not necessary for one to become another, they could both be traced back to the same thing.

120 posted on 03/05/2002 3:05:22 PM PST by gfactor
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