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A set of fundamental cognitive processes of the brain is formally described in this paper. The cognitive processes defined at the meta cognitive level of the layered reference mode of the brain (LRMB) encompass those of object identification, concept establishment, categorization, comparison, qualification, quantification, selection, and search. Real-time process algebra (RTPA) is adopted as the denotational mathematical means for rigorous modeling and describing the meta cognitive processes. The mathematical model of each meta process is created and modeled in RTPA. All cognitive models and processes are explained on the basis of the object- attribute-relation (OAR) model for internal information and knowledge representation and manipulation.