A hub-and-spoke model of geometric concepts
ISSN: 0495-4548
Año de publicación: 2023
Volumen: 38
Número: 1
Páginas: 25-44
Tipo: Artículo
Otras publicaciones en: Theoria: an international journal for theory, history and foundations of science
Resumen
La base cognitiva de la geometría aún no se comprende bien, incluso la “simple” cuestión de determinar qué tipo de representación de objetos geométricos existe. En este trabajo presentamos un modelo tentativo de la representación neuronal de objetos geométricos para el caso de la geometría pura de Euclides. Para llegar a un modelo coherente, encontramos necesario considerar formas anteriores de geometría. Comenzamos desarrollando modelos de la representación neuronal de las figuras geométricas de la geometría práctica griega antigua. Después, proponemos un modelo, relacionado con los anteriores, para la forma más antigua de geometría pura: la de Hipócrates de Quíos. Finalmente, desarrollamos el modelo de la representación neuronal de los objetos geométricos de la geometría Euclidiana. Los modelos se basan en la teoría hub-and-spoke. Desde nuestro punto de vista, la existencia de modelos específicos abre la posibilidad de tratar la relación entre figuras y objetos geométricos, de manera novedosa, en términos de su representación neuronal.
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