The original definition from the discover.org website:
HiTechRedNeck, I am assured that the use of the word given as a substitute for certain does not limit the intelligent design hypothesis to current knowledge and conversely would require mention of at least some for any particular assertion of the intelligent design hypothesis.
PatrickHenry and AntiGuv, Im going to fast forward through your discussion to your last suggested rewording:
Considerations such as form, geometry, mathematical structures, semiosis, autonomy, successful communication, complexity and intelligence are within the domain of intelligent design investigation and the reference to biological features or processes might inadvertently limit the debate to bio/chemistry.
The omission of the word best in this discussion in combination with the phrase that are otherwise inexplicable puts the bar above that which is stated by the fellows at discovery.org. IOW, they are not claiming that there are not other explanations, but that the best explanation is by an intelligent cause. I think your last wording was getting much closer, PatrickHenry!
I suggest amending and revising your last definition as follows:
I'm not trying to wrench up the defining, but have you all previously agreed to what is meant by "intelligent." If so, can you ping me to it? Thanks.
I perceive two visions here about what Science is expected to do. One surveys the scene at each point in its inquiry and tries to make the most likely judgment about what's the case (to date, it's that I won't win the Powerball, unless I get a friend on the ball drawing team), the other takes an 'ypothesis and drills down to the bitter end before starting up with another (keep buying those Powerball tickets, I have an unbustable budget, and we'll see if I ever win before I die).
My idea in using the expression "features or processes that are otherwise inexplicable" seems (at least to me) to cover the issue of "best." If there's no natural explanation, then the ID hypothesis is the only explanation that's left to explore.
If we do what the Discovery Institute does, and phrase it so that although there may be natural causes, the ID explanation is (somehow) judged to be "best," then we may as well amend all scientific theories to say: "... but to some, ID is preferable." I regard that as a giant step backwards.