dor_id: 4115779

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650.#.4.x: Artes y Humanidades

336.#.#.b: article

336.#.#.3: Artículo de Investigación

336.#.#.a: Artículo

351.#.#.6: https://critica.filosoficas.unam.mx/index.php/critica

351.#.#.b: Crítica. Revista Hispanoamericana de Filosofía

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856.4.0.u: https://critica.filosoficas.unam.mx/index.php/critica/article/view/733/706

100.1.#.a: García De La Sienra, Adolfo

524.#.#.a: García De La Sienra, Adolfo (1990). Estructuras y representaciones. Crítica. Revista Hispanoamericana de Filosofía; Vol. 22 Núm. 64, 1990; 3-22. Recuperado de https://repositorio.unam.mx/contenidos/4115779

245.1.0.a: Estructuras y representaciones

502.#.#.c: Universidad Nacional Autónoma de México

561.1.#.a: Instituto de Investigaciones Filosóficas, UNAM

264.#.0.c: 1990

264.#.1.c: 2018-12-11

506.1.#.a: La titularidad de los derechos patrimoniales de esta obra pertenece a las instituciones editoras. Su uso se rige por una licencia Creative Commons BY-NC-ND 4.0 Internacional, https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es, para un uso diferente consultar al responsable jurídico del repositorio por medio del correo electrónico alberto@filosoficas.unam.mx

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001.#.#.#: 034.oai:ojs2.132.248.184.97:article/733

041.#.7.h: spa

520.3.#.a: The aim of the present paper is to set a philosophical basis in order to discuss the type of representation that holds between mathematical structures and those aspects of the real world which they represent. It is maintained that an actualized version of Aristotelian metaphysics is suited for this purpose. The connection between the abstract, rigid concepts of mathematics, and the concepts of metaphysics is attempted through the concept of a fundamental measurement. The existence and degree of uniqueness of a fundamental measurement is established as a representation theorem asserting the existence of a homomorphism from what I call an ontological structure into a numerical one. An ontological structure contains as elements real beings, and its relations represent —in a sense made precise thereof— real relations among these beings. The role of metaphysics in the establishment of a representation theorem is to provide the conceptual apparatus required to discuss and formulate the ontological axioms required to derive the theorem. The paper contains a very complete example of a fundamental measurement in the sense described, namely, the measurement of the height of a physical parallelepiped and that of its potential parts.

773.1.#.t: Crítica. Revista Hispanoamericana de Filosofía; Vol. 22 Núm. 64 (1990); 3-22

773.1.#.o: https://critica.filosoficas.unam.mx/index.php/critica

022.#.#.a: ISSN electrónico: 1870-4905; ISSN impreso: 0011-1503

310.#.#.a: Cuatrimestral

300.#.#.a: Páginas: 3-22

264.#.1.b: Instituto de Investigaciones Filosóficas, UNAM

doi: https://doi.org/10.22201/iifs.18704905e.1990.733

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harvesting_date: 2023-08-23 17:00:00.0

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245.1.0.b: Estructuras y representaciones

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Artículo

Estructuras y representaciones

García De La Sienra, Adolfo

Instituto de Investigaciones Filosóficas, UNAM, publicado en Crítica. Revista Hispanoamericana de Filosofía, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Cita

García De La Sienra, Adolfo (1990). Estructuras y representaciones. Crítica. Revista Hispanoamericana de Filosofía; Vol. 22 Núm. 64, 1990; 3-22. Recuperado de https://repositorio.unam.mx/contenidos/4115779

Descripción del recurso

Autor(es)
García De La Sienra, Adolfo
Tipo
Artículo de Investigación
Área del conocimiento
Artes y Humanidades
Título
Estructuras y representaciones
Fecha
2018-12-11
Resumen
The aim of the present paper is to set a philosophical basis in order to discuss the type of representation that holds between mathematical structures and those aspects of the real world which they represent. It is maintained that an actualized version of Aristotelian metaphysics is suited for this purpose. The connection between the abstract, rigid concepts of mathematics, and the concepts of metaphysics is attempted through the concept of a fundamental measurement. The existence and degree of uniqueness of a fundamental measurement is established as a representation theorem asserting the existence of a homomorphism from what I call an ontological structure into a numerical one. An ontological structure contains as elements real beings, and its relations represent —in a sense made precise thereof— real relations among these beings. The role of metaphysics in the establishment of a representation theorem is to provide the conceptual apparatus required to discuss and formulate the ontological axioms required to derive the theorem. The paper contains a very complete example of a fundamental measurement in the sense described, namely, the measurement of the height of a physical parallelepiped and that of its potential parts.
Idioma
spa
ISSN
ISSN electrónico: 1870-4905; ISSN impreso: 0011-1503

Enlaces