All very true. Which is one reason I dislike all talk of "complexity" - particularly in such a fuzzy context as debates with creationists.
But we do all have some intuitions as to what we mean by complexity in this context. Someone, I believe it was you, has claimed in this thread that evolution can generate complexity. I assume you meant something other than "Evolution harnesses mutation as a random input and hence as a source of complexity".
William Dembski is an "intelligent design theorist" (if that is not too much of an oxymoron) who has attempted to define a notion of "specified complexity" or "Complex Specified Information" (CSI). He has not, IMHO, succeeded in defining it clearly, but I think he is onto something. He asserts that biology exhibits CSI. I agree. He asserts that evolution under natural selection is incapable of generating CSI - claiming that NS can at best only transfer information from the environment to the genome. I am pretty sure he is wrong about this, but we need a clear and formal definition of CSI to even discuss the question intelligently.
So, I guess I want to turn your question around. Do you have some definition of "complexity" in mind which allows for correct mathematical thinking about these kinds of issues?
"NS can at best only transfer information from the environment to the genome." Does this statement mean to suggest that the environment is not complex?
[...] SIAI's Scary Idea goes way beyond the mere statement that there are risks as well as benefits associated with advanced AGI, and that AGI is a potential existential risk.
[...] Although an intense interest in rationalism is one of the hallmarks of the SIAI community, still I have not yet seen a clear logical argument for the Scary Idea laid out anywhere. (If I'm wrong, please send me the link, and I'll revise this post accordingly. Be aware that I've already at least skimmed everything Eliezer Yudkowsky has written on related topics.)
So if one wants a clear argument for the Scary Idea, one basically has to construct it oneself.
[...] If you put the above points all together, you come up with a heuristic argument for the Scary Idea. Roughly, the argument goes something like: If someone builds an advanced AGI without a provably Friendly architecture, probably it will have a hard takeoff, and then probably this will lead to a superhuman AGI system with an architecture drawn from the vast majority of mind-architectures that are not sufficiently harmonious with the complex, fragile human value system to make humans happy and keep humans around.
The line of argument makes sense, if you accept the premises.
But, I don't.
Ben Goertzel: The Singularity Institute's Scary Idea (and Why I Don't Buy It), October 29 2010. Thanks to XiXiDu for the pointer.