Abstract
Cognitive relativity, rationality, and clarity are considered to be the core principles in mathematical modeling of cognitive mechanisms of origin, development, and evolution of cultures. The contextual theory of cognitive states based on context formalization, cognitive measurements, and algebra and logic of contexts is proposed for the modeling of cultural systems, from tuning to particular contexts and experiences to simulating multicontextual cultural spaces and predicting possible ways of cultural development and evolution. Modeling cognitive relativity leads to actor-centered descriptions of cultural knowledge, which is based on tuning to the relative cultural (or individual) contexts, recognizing typical patterns, and measuring cognitive distances. Flexible context-sensitive descriptions of knowledge are automatically generated, maximizing cognitive clarity. The principle of cognitive rationality—maximizing cognitive confidence in decision making—is introduced as a means of modeling individual and cultural behavior. Embodiment of the theory in E-machines is described to illustrate its analytical and practical use to anthropologists.
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