Per Gregory and Dr. Felsenstein’s request, here is an off the top of my head listing of the major theories I can think of that are related to Dembski’s ID theory. There are many more connections I see to mainstream theory, but these are the most easily connected. I won’t provide links, at least in this draft, but the terms are easily googleable. I also may update this article as I think about it more.
First, fundamental elements of Dembski’s ID theory:
- We can distinguish intelligent design from chance and necessity with complex specified information (CSI).
- Chance and necessity cannot generate CSI due to the conservation of information (COI).
- Intelligent agency can generate CSI.
Things like CSI:
- Randomness deficiency
- Martin Löf test for randomness
- Shannon mutual information
- Algorithmic mutual information
Conservation of information theorems that apply to the previous list:
- Data processing inequality (chance)
- Chaitin’s incompleteness theorem (necessity)
- Levin’s law of independence conservation (both chance and necessity addressed)
Theories of things that can violate the previous COI theorems:
- Libertarian free will
- Halting oracles
- Teleological causation