Thank you all for your thoughtful and illuminating replies. I have gained insight from them, but I must say, respectfully, that most of you have (no doubt unintentionally) skirted my question. You have skirted it by reiterating/rephrasing/amplifying the very same standard argument presented by Biologists to which I am objecting in the first place: That is, you have once again spoken some *words* about how improbable Abiogenisis "seems", based, once again, on your *intuitive* arguments to support your views. Jens, you say "that biochemists and microbiologists tend to assume that abiogenisis is highly improbable and physicists tend to assume that it is simple (since they typically do not know the details)", but shortly before that you say "you tend to think that abiogenesis is a highly improbable event, because there is no simple solution of how a primitive self replicating and evolving molecule (or molecule system) could look".
It sounds almost as if you're saying that Biologists assume it's *complicated* because they don't know the details, while Physicists assume it's *simple* because they don't know the details. But I would like to point out that Physicists do not assume that something is simple because they don't know the details. Physicists do look for the simplest form of the underlying fundamental laws that will successfully explain the thing they are studying. But that is far from assuming that the solution to something complex, will be simple if you don't know the details!
We do have confidence, in Science, that Biology is based upon Chemistry, which is turn is based upon more fundamental physical laws at the smallest level. The fact that mind-bogglingly complex chemical reactions occur in nature, does not change the fact that, given a certain range of conditions, with a certain set of chemical ingredients, we can expect an ensemble of such systems to evolve in a way which is, in principle, predictable.
Thus, based upon these "word" arguments that we all seem to be using since we don't in fact know the complex details well enough to calculate our probabilites, it seems completely logical that, given the right conditions in nature, Abiogenisis could indeed take place multiple times independently, and produce the same arrangement of chemical elements and compounds required to become self-replicating.
My original question, was simply, that unless and until we gain enough knowledge to really be able to make probability calculations, at least with some statistical degree of confidence, are we not completely unjustified in continuing to insist that Abiogenises is "extremely unlikely" to happen more than once? I firmly believe that we *are* completely unjustified in proclaiming that. Note that I'm also not proclaiming it to be "extremely likely" either. I'm simply saying, I don't know. And I think, neither does anyone else. I propose that we wait until we can say, for example, "The probability of Abiogenisis under set x of conditions, is 52.2 percent, +/- 7 percent" (for example). Until then, let's quit using phrases such as "extremely unlikely".
Finally, let me ask you all to consider the following two well known facts, in helping to think about whether you have the right to proclaim Abiogenisis "extremely unlikely" simply because you don't understand the complexity of how it happened.
(1) It's well known that complex fractals are generated from very simple laws, in a predictable manner.
(2) It is recently confirmed by Astronomers that many planets in far-flung galaxies, exhibit spectra that indicate Methane, which implies life. If the chemical properties of methane are the same in all those far flung galaxies as here, then why would you reject the notion that the chemical characteristics of Abiogenisis might be the same out there in all those places?