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How could evolution be responsible for this mathematical miracle?
It is just a mundane series :/
Sequences appear everywhere. If you consider only nature processes in which Fibonacci occurs and ignore the many of them in which other series or fractals happen then you are missing out.
0 1 1 2 3 5 8 13 21
It is no coincidence the Fibonacci series appears in nature. Because the series was first invented and used to solve a math problem that surfaced in nature.
Anyway:
http://www.fibonacci.name/Nature-Why.htmlThe fibonacci series happens a lot in nature simply because it provides optimal exponential growth. Mutation, selection and reproduction area already known to be able to generate algorithms (See
http://en.wikipedia.org/wiki/Genetic_programming for more information). So it is not at all shocking to find that evolution can find the golden ratio.
In fact, as long as complicated algorithms go. Reading genetic code is one of the hardest ones ever. We have not even decoded it yet.
And BTW, The "slime mold" has routing algorithms that are more sophisticated than the stuff we currently have:
http://www.sciencedaily.com/releases/20 ... 141051.htmAll of this is great and cool. But rather than dismiss evolution. It to me, shows how great evolution truly is. A very simple process who can generate the most complicated models and processes. True insight and stuff. In fact, to be honest, when I came to truly understand evolution and at the same time, genetic programming and the whole universe. Nature is so marvelous and magnificent by itself that it does not need a deity to be impressive anymore. It least not for me.
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Evolution suggests that everything came about by mere chance
No, it does not.
It states why there are species. That life forms have a common ancestor and it also details a process by which differentiation by species can happen. The mutations are dependent on chance, and parts of the selection process are based by chance... However, the overall process is not completely up to chance. Chance is what generates the changes, but the environment is what ultimately decides if a change is good or not.
Consider the following program:
Code:
while (true {
x = random.int(1,10000)
if (x*x = x*x*x - 900) {
return x
}
}
Although it has random components, the algorithm always returns 10. It is a random search. The process depends on chance, but ultimately what picks the number to return is the condition.
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and through a process of elimination arrived at the final product.
There is no "final" product in evolution.
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However evolution cannot explain the Fibonacci numbers.
Of course it can :/
In fact, like I already said, but I will repeat anymore. It makes evolution look so marvelous when you figure this out. Reality is so outstanding and big. I find it so much more impressive that the universe and life works and had to be a LOT of work. A LOT OF LIVES HAD TO BE SACRIFICED before a sun flower could use Fibonacci's sequence. To me, it is a so much better and epic story than "magic deity just wished it so".
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