%0 Journal Article %T Los axiomas de la cantidad de Holder y la fundamentaci¨Žn del continuo lineal %A Luis Cornelio Recalde %A Claudia Valencia %J Revista Sigma %D 2009 %I %X In this article we studied some aspects of the theory of the amount developed by the German mathematician Otto Holder in 1901. In particular, the axioms of the amount of Holder are described and it is related to the arithmetical construction of the real numbers based on the cuts of Dedekind. %K Numbers real %K continuous aristotelian %K continuous geometric %K continuous arithmetic %K cuts of Dedekind %K axioms of the amount %U http://coes.udenar.edu.co/revistasigma/articulos/articulosIX1/2.pdf