Cognitive and hemispheric inversions when learning nonstandard arithmetic

Understanding the proofs of compactness theorems regarding the consistency of the existence of infinite or infinitesimal numbers was found to be related to the dominance of the left cerebral hemisphere over the right one. This phenomenon is not weakened when learning, the compactness theorem is followed by learning about internal and external sets, which is also related to such a dominance. However, when the learning of the compactness theorem is followed by learning about monads and galaxies instead of internal and external sets, the understanding of the consistency of the existence of the infinite or infinitesimal numbers was found to be related to the dominance of the right cerebral hemisphere over the left one. A cognitive and neuropsychological model is given to explain these phenomena.