Publication: La emancipación conceptual de número real de la idea de magnitud: una mirada germánica
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2013-07
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Universidad de La Habana
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Abstract
En el presente artículo analizamos los aportes decisivos de tres miembros de la escuela alemana de matemática a la separación del concepto de número dela idea física de magnitud, durante la segunda mitad del siglo XIX. Además analizamos la importancia de la aritmetización del análisis para la consecuente axiomatización de los números reales, proceso que estos tres matemáticos promovieron en las obras principales que reseñamos.
In the present article we study the decisive contributions of three members of the German mathematical school to the separation of the concept of number from the physic concept of magnitude, during the second half of the XIXth century. Besides we analyze the importance of the arithmetization of analysis to later axiomatization of real numbers, process that those three mathematicians promoted in the principal works we review.
In the present article we study the decisive contributions of three members of the German mathematical school to the separation of the concept of number from the physic concept of magnitude, during the second half of the XIXth century. Besides we analyze the importance of the arithmetization of analysis to later axiomatization of real numbers, process that those three mathematicians promoted in the principal works we review.
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La versión depositada es: arXiv:1905.01569 [math.HO]
Keywords
Número real, Magnitud, Escuela alemana de Matemática, Siglo XIX
Bibliographic citation
Ciencias Matemáticas, 27(1), julio 2013, Pp. 53-64