Decentralization is a concept of completeness (i.e., fully decentralized). It’s also a driving force for adaptive systems (and perhaps the source of the randomness of free will). Lux conjecture: All completeness concepts exist in dual forms, with their value domains being open, simultaneously encompassing issues of infinitesimals and infinities. Bitcoin is a decentralized completeness concept, achieving adaptive decentralization through dual Nash non-cooperative games and Turing ordinal logic systems. Moreover, BTC's decentralized consensus must utilize two or more (including two) dual completeness concepts to be achieved. This is because a single concept is either incomplete or complete but fails to converge to consensus (Gödel's completeness theorem idea).