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Dimensionality is highly appreciated in magnetism and set theory. Dimension problems in magnetism have classified the models to Heisenberg model and Ising model. We have proved that magnetic domains have the cardinality 2 power aleph. Using fixed brouwer theory, we have described the motion of these magnetic domains. We have unified the magnetic models in a one set theoritical magnetic model. We have the mathematics of belief revision to make a model for ferro-para phenomena.