Algunos conceptos matemáticos asociados al infinito

This article deals with the concept of infinity in its general form and an analysis about actual infinity and potential infinity is performed. Two demonstrations are performed, the Archimedean property and an inequality by means of mathematical induction. The aim of these two demonstrations is to em...

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Detalles Bibliográficos
Autores: Buitrago C, Iván Darío, Gaviria, Carlos A, Márquez, Carlos A
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2014
País:Colombia
Institución:Universidad de San Buenaventura
Repositorio:Repositorio USB
Idioma:español
OAI Identifier:oai:bibliotecadigital.usb.edu.co:10819/6660
Acceso en línea:http://hdl.handle.net/10819/6660
Access Level:acceso abierto
Palabra clave:Cálculo
Conjuntos
Derivada
Infinito
Infinitesimal
Límites
Matemáticas
Descripción
Sumario:This article deals with the concept of infinity in its general form and an analysis about actual infinity and potential infinity is performed. Two demonstrations are performed, the Archimedean property and an inequality by means of mathematical induction. The aim of these two demonstrations is to emphasize on the significance that Greeks’ idea of infinity have until nowadays and how far is this concept from common sense. The idea of actual infinity is examined based on set theory.