Repositorio Universitario Digital (FFyL)

Pablo Miranda Quevedo

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Secretaría Académica, Facultad de Filosofía y Letras (FFyL)

Universidad Nacional Autónoma de México (UNAM)

Torres Alcaraz, Carlos. "Hilbert, Kant y el fundamento de las matemáticas." Theoría: Revista del Colegio de Filosofía 8-9 (1999): 111-129 || 1665-6415 || http://hdl.handle.net/10391/2390

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FFyL:RU-UNAM:57104

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Torres Alcaraz, Carlos

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Facultad de Filosofía y Letras, Universidad Nacional Autónoma de México

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Abstract: This paper looks into Hilbert’s thought about mathematics and explores its relation which the philosophy of Kant. The focus of the research is in the role of axiomatic thinking and logical analysis in foundational studies. The paper concentrates mainly in Hilbert’s research regarding the foundations of geometry, and follows his main lines of thought up to his programme, which revolves around a consistency proof for the axioms of classical mathematics. A final analysis allows us to conclude that for him mathematics is, in a broad sense, "the science of that which is possible" in this point, Hilbert diverges from Kant, even though he considers that classical mathematics has in its core a content, a view which separates him from the extreme formalism some times ascribed to him.

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Filosofía || Theoría. Revista del Colegio de Filosofía || Kant || axiomas matemáticos || pensamiento lógico

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es

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1999 || 2012-05-14T20:48:13Z || 2012-05-14T20:48:13Z || 1999

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http://ru.ffyl.unam.mx:8080/jspui/bitstream/10391/2390/6/08_Theoria_08-09_1999_Torres_111-129.pdf.txt || http://ru.ffyl.unam.mx:8080/jspui/bitstream/10391/2390/1/08_Theoria_08-09_1999_Torres_111-129.pdf

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Theoría. Revista del Colegio de Filosofía. Núm. 8-9 diciembre de 1999. Universidad Nacional Autónoma de México. Facultad de Filosofía y Letras, México 1999.

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Secretaría Académica, Facultad de Filosofía y Letras (FFyL), %%Hilbert, Kant y el fundamento de las matemáticas%%, objeto digital: Repositorio Universitario Digital (FFyL). En %%Portal de datos abiertos UNAM%% (en línea), México, Universidad Nacional Autónoma de México. Disponible en: http://datosabiertos.unam.mx/FFyL:RU-UNAM:57104 Fecha de actualización: 2014-10-23 18:31:20.0 Fecha de consulta:

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Para consultar el repositorio de la Facultad de Filosofía y Letras, visite el siguiente enlace: http://ru.ffyl.unam.mx Para mayores informes, comunicarse con: ​Pablo Miranda. Correo: repositorio #para# filos.unam.mx