Thank you so much for the ping to your posts!
I do not accept the premise that any investigation of the "complexity" of DNA by biologists has established in any way "that intelligence must have been involved." In fact, those who are principally involved in the making of this argument are doing so from the perspective of mathematical probability rather than from scientific investigation because they are proposing that which cannot be disproved, namely; that complexity alone explains intelligent design.
One of these days when we all have some time we need to pick up the conversation about "complexity" in biological systems again. I do agree with you that it is not biologists who have raised the issue but mathematicians. However, I do not believe the issue of complexity was raised primarily from looking at probabilities but rather in response to the von Neumann challenge with the emphasis on cellular automata (self-organizing complexity).
Nature's Own Software (biography of Wolfram)Uncertainty, Entropy, and Information - Tom Schneider
A Mathematical Theory of Communication - Claude Shannon
Randomness in Arithmetic - Chaitin
Should we decide to explore the subject though, I would like for tortoise, Doctor Stochastic and betty boop to be involved as well so we can make sure we are all using the same jargon with the same meanings.