"Correlational Improbability"- July 31/08 is my way of mathematically quantifying the second Dembskian notion of "an independently given, detachable pattern."
From ResearchID.org:Re - “Specified Complexity”:"The first component is the criterion of complexity or improbability. The second is the criterion of specificity, which is an independently given, detachable pattern."
The (often critiqued) second component "specificity" is mathematically quantifiable as a correlational improbability. Multiplying this improbability by the initial improbability (the first component) gives the pertinent “hyper-hyperfinite” or “trans-hyperfinite” internal information/improbability figure for any given complex functional, pseudo-platonic(maintained) system. Note that the first component of “improbability” is itself a hyperfinite number below the universal probability bound. See-- Specified_Complexity at ISCID.
Note added Sept 24/08: I have initiated a separate thread at ISCID in order to discuss this topic.