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Furthermore, specified complexity (meaning both specified and complex) is the criterion for design. If it fails this criterion it falls into chance.
Specified complexity is entirely a subjective term. It is not objective in any way. It is a quality that exists in Dembski's mind, and his mind only. His definition of both SPECIFIED and COMPLEX moves around willy-nilly on a case by case basis.
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You could argue that we have insufficient information to make the calculations for the EF in a specific case, but that shouldn't generalize to say the EF is wrong in all scenarios. Insufficient information is simply not having enough information to use the EF (in situation X only), not a fatal flaw to the EF itself.
To apply the EF, according to Dembski himself, you have to know the entire causal history of what you are studying. For the bac flag, you would have to know exactly how it came about, including all precursors. Needless to say, it is impossible to apply the EF in the case of the bac flag.