French “logique” and British “logic”: on the origins of Augustus De Morgan's early logical inquiries, 1805–1835

作者: Maria Panteki

DOI: 10.1016/S0315-0860(03)00025-9

关键词: Euclidean geometryWishEpistemologyAlgebra over a fieldMathematicsSyllogismAlgebraHistoryGeneral Mathematics

摘要: Abstract Augustus De Morgan's career is characterized by a ceaseless joint attention to mathematics and logic. In this essay, we investigate the factors that urged him become involved with logic, first in connection instruction of geometry, subsequently algebra. We hold his attempt reduce Euclidean geometry syllogistic form 1831 stemmed largely from perusal S.F. Lacroix's Essais , while wish defend G. Peacock's advanced algebra as basic component Cambridge education 1835 led establish significant links between algebra, mechanics,

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