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Cognitive and hemispheric inversions when learning nonstandard arithmetic
Author(s) -
Fidelman Uri
Publication year - 1990
Publication title -
behavioral science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 45
eISSN - 1099-1743
pISSN - 0005-7940
DOI - 10.1002/bs.3830350105
Subject(s) - compact space , infinitesimal , mathematical proof , mathematics , dominance (genetics) , lateralization of brain function , left and right , consistency (knowledge bases) , cognitive psychology , pure mathematics , arithmetic , psychology , discrete mathematics , mathematical analysis , biochemistry , chemistry , geometry , structural engineering , engineering , gene
Abstract 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.