ETA:
And semantics as to what "random" means.
To me it means that identical, i.e at the quantum level starting stuations could give significantly different outcomes, in other words, if we could have identical universes each containing an Earth at the time of the KT impact, then there would be no inveitibility that every Earth would have a fire-using social animal 65-million years later. Not just no humanity, but possibly nothing occupying the ecolgical niche occupied by us...
If you use that definition and believe the standard interpretation of quantum physics then
everything is random so it renders the statement that evolution is random trivial. Also, if you believe that it is random because it is dependent on unpredictable events things like asteroid impacts and all the other crazy stuff that happens in history, the idea that evolution is random becomes pretty trivial, because it is reducing to saying history is random.
Or at least it breaks down to saying things like "evolution is random because if the dinosaurs hadn't been killed in a highly improbably asteroid impact humans wouldn't exists". I would agree with that, but it is the asteroid that is random not the evolution.
I submit this definition, which I think could bear out either claim. If two situations are experimentally identical and a different result obtains, then the processes observed were random. By experimentally identical, I mean all the variables that your model deems important are the same within some decided degree of experimental error. We can debate which variables are important, and indeed this reduces the entire argument to something empirically testable. We simply ask how close must the relevant variables be to produce identical results.
I think this is a good definition, no matter how you feel about quantum physics, because realistically, even by the time you get up to the scale of atoms and molecules quantum effects have pretty much been averaged out and the world starts acting more like billiard balls. Then on top of that most stochastic processes(like chemical processes) remove any remaining "quantum randomness". The chemical processes in organisms are non-random enough that a cell can be reproduced identically many of times more than it is not. A universe with quantum mechanical roots doesn't automatically turn chaotic. We can talk about that randomness, while completely ignoring quantum effects. We can frame the argument, scientifically in terms of rates of mutation, and distribution of genes and therein come to an agreement on the validity of a scientific statement, rather than stray into philosophy(which I consider to be quite boring).
I hope we can agree on that, so now lets talk about the neat stuff.
That is where I am arguing that this is wrong and that it would imply that every beneficial trait would survive at the expense of every deleterious trait.
I totally agree. Evolution is often suboptimal because it can only take small steps and because sometimes a deleterious trait is either fundamentally or structurally linked to a beneficial trait. I would differ in that If a deleterious trait survived, this would be because it was necessarily so. An example of a fundamentally linked deleterious and beneficial trait is sickle cell anemia. It confers a resistance to malaria but also significantly shortens life. You just can't get one without the other.
If we examine the "its in the dice" example you make. Lets say we have a deleterious trait that is not linked to a beneficial one. Lets say it kills you before you procreate 50% of the time. Then sure you might make it one generation, but your children will die, or theirs will die, The probability that a gene survives in a single indiviual situation like this is (1/2)^n where n is the number of generations. 5 generations, which in humans is about 100 years, is only 3%. Or 3 in 100, thats not even close to geological time. You might argue that they may have more than one child, but they need to live even long than that, so more often than not they won't make it that far. Also, we need to remember that sexual selection plays a huge factor, the fact that they breed children that may die before reproduction makes them less desirable as mates....further driving down their likelihood of surviving. In other words the algorithm produces deterministic results at the temporal limit.
Talking about the convergent evolution of the eye is a good one, because it seems to have evolved many more times, sometimes two different times on the same animal.
First, the eye only evolved twice and was passed down to future generations. One of the properties of evolution is that it saves previous solutions, for the most part, and I am unaware of it ever evolving twice in one organism. It probably was developed on both sides of the organism simultaneously due to bilateral symmetry. To use the term like you are using it above is either very imprecise or incorrect.
I would interpret this as showing that there is a great selective advantage in being able to sense and respond to distant stimulii; thus a selective "pressure" towards sight. Because of the electrochemical nature of reactions, light-sensitive mutations must be not that uncommon. Evolution of the eye is thus a probable event.
I would certainly agree that it is advantageous, but a trait being advantageous does not imply a trait is probable.
It seems to me that there are numerous different ways you could build a light sensing organ; multiple lenses, non-spherical shapes, retinal reformation rather than lens deformation. To examine the probability of it just showing up randomly, lets assume an eye is just a beneficial trait that any organism would want and that the probability of any part of the full eye showing up in an organism randomly is 1% every year(which I think is incredibly generous) and that the eye we're talking about has 5 parts(also very generous, say... cornea,retina,light sensitive neurons,brain capable of processing image, and its spherical compartment.). Then the probability of it showing up twice is: (.01^5)^2=.01^10= 10^-20 = 10^18% change every year. Or in other words we wouldn't expect it to happen twice for over 100 billion billion years. Earth has only been around for 4.5 billion years, which isn't even close.
The bottom line is that the math does not support this belief that evolution could not produce complex forms like this in a way that is similar twice, even with very generous estimates, if the model is that evolution is just plodding along accumulating desirous traits. It must be highly directed by the needs of its environment.
Sight is a common solution, but this can take different forms, the retina can have the blood vessels in front of the light-sensing cells (doh, mammals) or the other way round, the "better" solution (e.g. octopodes).
Well I could just answer this by modifying the equation above. IE they only share 4 components. Giving us a result of (.01^4)^2 = 10^-16 or it would develop twice once in 10 million billion years, still far too low a probability.
But there is a more important point here. While the solutions are different, and the mammalian solution has a blind spot, which poses a small disadvantage in sensation. Cephalopods like the octopus are invertebrates and the other branches of creatures with the type of eye we're discussing are all vertebrates. Being a vertebrate means that we have a very different developmental process. If vertebrates were to develop the everted retina of cephalopods rather than their traditional inverted retina, it would come at a huge expense in terms of the complexity of the developmental process, the amount of energy required to develop, and the time required. Which would mean if vertebrates were to get an everted eye, they would either have to give up the stuff that makes them vertebrates or have more miscarriages, need more food during pregnancy, and have to carry the baby much longer. Better to have unnoticeably worse vision than likelihood of being tiger food. In other words these traits are linked and they couldn't be built efficiently in any other way.
I am thinking about your punctured equilibrium argument:
Its called PUNCTUATED EQUILIBRIUM not PUNCTURED EQUILIBRIUM.
The name explains the phenomenon, long periods of equilibrium where the species is unchanging, punctuated by quick bursts of change. It is not my argument it is Stephen J Gould's argument. I'm just trying to do my best to explain it. You should really read the primary source.
I believe that river drainage systems patterns are fractal, which, (IIRC) is indicitive of a chotic system. These move about, but do also have some form of stability, because eroding the valleys is a positive feedback loop, making the water more likely to flow in the eroded valley. However significant events can also push the rivers out of these patterns and into a new set of ones.
I am not saying that evolution is like a river system, but that to me this seems that there are "quasi-stable" chaotic systems that can be aslo subject to major sudden change.
I'm not clear where the feedback loop shows up in evolution, maybe in ecology but ecology!=evolution.
Without getting into the details, I don't think this analogy is very good. It's not very precise, what events? The patterns are apparently fractal, but not necessarily. Is the flow constant or inconstant in this river? What variables do we care about? What sort of external events? These questions are intended to show you the analogy is poor, I'd prefer you find something clearer rather than try to pack this one up, so don't feel obligated to answer those.
But let me say it one more time. The inability to model evolution is terms of species does not imply the system is chaotic. Why do you think that evolution
is chaotic?
But here are some general points.
1. As far as the fossil record shows us new species don't just pop up without cause. Its not like things like the eye just appeared one calm sunny sunday, new species show up during periods when external stress is applied.
2. The rate of speciation is very inconstant, sometimes new species are generated very very slowly, then conditions change to necessitate the development of new traits and those traits are developed.
3. Species at equilibrium have a broad gene pool, most of the diversity between generations in sexual species is from sexual mixing and chromosomal rearrangement, a very small portion of it is provided by traditional mutation, although this will accumulate and stay latent in the gene pool
4. During the brief periods of stress and evolution. The diversity of the gene pool drops down due to die offs, a new species(es) is formed by recombining genes available from the gene pool(it happens too quickly for mutation at that moment to even be significant). When the stress decreases and equilibrium is reestablished the breadth of the gene pool increases again.
p.s. The retinal of the eye is ironically one of the few biological structures in which quantum effects may play a significant part. The excited state in retinal that occurs post interaction with a photon may be a quantum mechanical effect.