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...
- Autores:
-
Buitrago C, Iván Darío
Gaviria, Carlos A
Márquez, Carlos A
- Tipo de recurso:
- Fecha de publicación:
- 2014
- Institución:
- Universidad de San Buenaventura
- Repositorio:
- Repositorio USB
- Idioma:
- spa
- OAI Identifier:
- oai:bibliotecadigital.usb.edu.co:10819/6660
- Acceso en línea:
- http://hdl.handle.net/10819/6660
- Palabra clave:
- Cálculo
Conjuntos
Derivada
Infinito
Infinitesimal
Límites
Matemáticas
- Rights
- License
- Atribución-NoComercial-SinDerivadas 2.5 Colombia
Summary: | 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. |
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