dor_id: 4115837

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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

351.#.#.a: Artículos

harvesting_group: RevistasUNAM

270.1.#.p: Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

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850.#.#.a: Universidad Nacional Autónoma de México

856.4.0.u: https://critica.filosoficas.unam.mx/index.php/critica/article/view/874/843

100.1.#.a: Ibarra, Andoni; Mormann, Thomas

524.#.#.a: Ibarra, Andoni, et al. (2000). Una teoría combinatoria de las representaciones científicas. Crítica. Revista Hispanoamericana de Filosofía; Vol. 32 Núm. 95, 2000; 3-46. Recuperado de https://repositorio.unam.mx/contenidos/4115837

245.1.0.a: Una teoría combinatoria de las representaciones científicas

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

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

264.#.0.c: 2000

264.#.1.c: 2019-01-07

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

884.#.#.k: https://critica.filosoficas.unam.mx/index.php/critica/article/view/874

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041.#.7.h: spa

520.3.#.a: The aim of this paper is to introduce a new concept of scientific representation into philosophy of science. The new concept -to be called homological or functorial representation- is a genuine generalization of the received notion of representation as a structure preserving map as it is used, for example, in the representational theory of measurement. It may be traced back, at least implicitly, to the works of Hertz and Duhem. A modern elaboration may be found in the foundational discipline of mathematical category theory. In contrast to the familiar concepts of representations, functorial representations do not depend on any notion of similarity, neither structural nor objectual one. Rather, functorial representation establish correlations between the structures of the representing and the represented domains. Thus, they may be said to form a class of quite "non-isomorphic" representations. Nevertheless, and this is the central claim of this paper, they are the most common type of representations used in science. In our paper we give some examples from mathematics and empirical science. One of the most interesting features of the new concept is that it leads in a natural way to a combinatorial theory of scientific representations, i.e. homological or functorial representations do not live in insulation, rather, they may be combined and connected in various ways thereby forming a net of interrelated representations. One of the most important tasks of a theory of scientific representations is to describe this realm of combinatorial possibilities in detail. Some first tentative steps towards this endeavour are done in our paper.

773.1.#.t: Crítica. Revista Hispanoamericana de Filosofía; Vol. 32 Núm. 95 (2000); 3-46

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

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300.#.#.a: Páginas: 3-46

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

doi: https://doi.org/10.22201/iifs.18704905e.2000.874

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

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245.1.0.b: A Combinatory Theory of Scientific Representations

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Artículo

Una teoría combinatoria de las representaciones científicas

Ibarra, Andoni; Mormann, Thomas

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

Licencia de uso

Procedencia del contenido

Cita

Ibarra, Andoni, et al. (2000). Una teoría combinatoria de las representaciones científicas. Crítica. Revista Hispanoamericana de Filosofía; Vol. 32 Núm. 95, 2000; 3-46. Recuperado de https://repositorio.unam.mx/contenidos/4115837

Descripción del recurso

Autor(es)
Ibarra, Andoni; Mormann, Thomas
Tipo
Artículo de Investigación
Área del conocimiento
Artes y Humanidades
Título
Una teoría combinatoria de las representaciones científicas
Fecha
2019-01-07
Resumen
The aim of this paper is to introduce a new concept of scientific representation into philosophy of science. The new concept -to be called homological or functorial representation- is a genuine generalization of the received notion of representation as a structure preserving map as it is used, for example, in the representational theory of measurement. It may be traced back, at least implicitly, to the works of Hertz and Duhem. A modern elaboration may be found in the foundational discipline of mathematical category theory. In contrast to the familiar concepts of representations, functorial representations do not depend on any notion of similarity, neither structural nor objectual one. Rather, functorial representation establish correlations between the structures of the representing and the represented domains. Thus, they may be said to form a class of quite "non-isomorphic" representations. Nevertheless, and this is the central claim of this paper, they are the most common type of representations used in science. In our paper we give some examples from mathematics and empirical science. One of the most interesting features of the new concept is that it leads in a natural way to a combinatorial theory of scientific representations, i.e. homological or functorial representations do not live in insulation, rather, they may be combined and connected in various ways thereby forming a net of interrelated representations. One of the most important tasks of a theory of scientific representations is to describe this realm of combinatorial possibilities in detail. Some first tentative steps towards this endeavour are done in our paper.
Idioma
spa
ISSN
ISSN electrónico: 1870-4905; ISSN impreso: 0011-1503

Enlaces