A Spin Glass Model of Human Logic Systems

In this paper, we discuss different models for human logic systems and describe a game with nature. G\"odel`s incompleteness theorem is taken into account to construct a model of logical networks based on axioms obtained by symmetry breaking. These classical logic networks are then coupled using rules that depend on whether two networks contain axioms or anti-axioms. The social lattice of axiom based logic networks is then placed with the environment network in a game including entropy as a cost factor. The classical logical networks are then replaced with ``preference axioms'' to the role of fuzzy logic.