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856.4.0.u: https://critica.filosoficas.unam.mx/index.php/critica/article/view/910/878

100.1.#.a: Fernández, Ángel Nepomuceno

524.#.#.a: Fernández, Ángel Nepomuceno (1993). Nociones logicistas en filosofía de la matemática. Crítica. Revista Hispanoamericana de Filosofía; Vol. 25 Núm. 75, 1993; 85-103. Recuperado de https://repositorio.unam.mx/contenidos/4115452

245.1.0.a: Nociones logicistas en filosofía de la matemática

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

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

264.#.0.c: 1993

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

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520.3.#.a: The point of view according to which logic has priority over mathematics has been maintained by some philosophers and mathematicians in two senses: a strong view and a weak view. Both of them are logicist: The first one regards mathematics as reducible to logic. The second one considers that the essence of mathematics can be known by researching the logical consequences of a certain system of postulates or axioms; thus, the underlying logic (whatever the mathematical theory might be) is crucial for this sort of studies. Some logicist concepts are interesting in philosophy of mathematics. So it is necessary to study the state of being in use of each point of view. In fact, the weak view has prevailed. To show that, we settle down how logicist statements have been influenced by Gödel’s theorem, though that goes against formalist philosophy. Afterwards, we present a formal system for second order logic; treatment of nominalization is enclosed, and every Frege’s law is proved to be a theorem. Finally, a short balance is made.

773.1.#.t: Crítica. Revista Hispanoamericana de Filosofía; Vol. 25 Núm. 75 (1993); 85-103

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

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300.#.#.a: Páginas: 85-103

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

doi: https://doi.org/10.22201/iifs.18704905e.1993.910

handle: 5320d3693750a071

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

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245.1.0.b: Logicist Notions in Philosophy of Mathematics

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Artículo

Nociones logicistas en filosofía de la matemática

Fernández, Ángel Nepomuceno

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

Licencia de uso

Procedencia del contenido

Cita

Fernández, Ángel Nepomuceno (1993). Nociones logicistas en filosofía de la matemática. Crítica. Revista Hispanoamericana de Filosofía; Vol. 25 Núm. 75, 1993; 85-103. Recuperado de https://repositorio.unam.mx/contenidos/4115452

Descripción del recurso

Autor(es)
Fernández, Ángel Nepomuceno
Tipo
Artículo de Investigación
Área del conocimiento
Artes y Humanidades
Título
Nociones logicistas en filosofía de la matemática
Fecha
2019-01-07
Resumen
The point of view according to which logic has priority over mathematics has been maintained by some philosophers and mathematicians in two senses: a strong view and a weak view. Both of them are logicist: The first one regards mathematics as reducible to logic. The second one considers that the essence of mathematics can be known by researching the logical consequences of a certain system of postulates or axioms; thus, the underlying logic (whatever the mathematical theory might be) is crucial for this sort of studies. Some logicist concepts are interesting in philosophy of mathematics. So it is necessary to study the state of being in use of each point of view. In fact, the weak view has prevailed. To show that, we settle down how logicist statements have been influenced by Gödel’s theorem, though that goes against formalist philosophy. Afterwards, we present a formal system for second order logic; treatment of nominalization is enclosed, and every Frege’s law is proved to be a theorem. Finally, a short balance is made.
Idioma
spa
ISSN
ISSN electrónico: 1870-4905; ISSN impreso: 0011-1503

Enlaces