Daniel Dannett talks about design space as the set of possible designs (while deforming the meaning of the word "design" in a manner that would warm David Hume's heart, but that's another matter). Why not convey the hierarchical nature of anti-reductionism by talking about "goal dimension"? Perhaps that's too much like playing ball in your opponent's favorite field, with his equipment, etc.
How about defining it as an instance of functional complexity? And treating the list of properties as following necessarily from this definition? Okay, this is very diamond-in-the-rough (or perhaps zirconium...) but here goes my thoughts on the matter: (Complexity) Many diverse parts (functional) acting for the sake of the whole I think I need to add something like "not as the instrument of another" or something like that. Given that they act together as one whole and given entropy, etc., the organism will need to posses more order than its surroundings (homeostasis). It will therefore need to take in energy (nutrition), which it will use to sustain its readiness to interact with its environment so as to preserve its own being (homeostasis again?), but which will eventually break down (death), so that in order for that life form to continue it will need to duplicate itself (reproduction), which, upon occurring, will involve both development (growth) to maturity and...
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