Representación de los números reales en la recta
We state and justify a conjecture concerning the comparative complexity of the representation of real numbers on the line versus other representations. The Introduction provides the setting of the subject and states the conjecture. Part 1 deals with the controversial line's «nature» and depicts...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2000 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | español |
| OAI Identifier: | oai:ddd.uab.cat:1474 |
| Acceso en línea: | https://ddd.uab.cat/record/1474 https://dx.doi.org/urn:doi:10.5565/rev/ensciencias.4054 |
| Access Level: | acceso abierto |
| Sumario: | We state and justify a conjecture concerning the comparative complexity of the representation of real numbers on the line versus other representations. The Introduction provides the setting of the subject and states the conjecture. Part 1 deals with the controversial line's «nature» and depicts several interpretations of the straight line. Part 2 analyses the particular phenomenology related to the assignment of real numbers to the line's points, in order to extract some limitations of such an assignment. Part 3 compares several representations of real numbers with the representation on the line, and presents a set of distinctive features for the latter. This paper, theoretically oriented, comes from a broader research work addressed to uncover epistemological obstacles related to the representation of real numbers on the straight line. We are doing a work field, involving students of several levels, on this subject. |
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