Análisis del concepto de progreso matemático en Ilkka Niiniluoto
DOI:
https://doi.org/10.24310/Contrastescontrastes.v4i0.1238Abstract
RESUMEN
La noción de progreos matemático constituye uno de los elementos del planteamiento filosófico-metodológico de Ilkka Niiniluoto a los que menor atención se les ha prestado. Para esclarecer esta noción en su enfoque, se estudia su propuesta matemática general, que se asienta en una epistemología de realismo científico-crítico. Se resalta la conjunción que propone entre una Metodología de carácter "cuasi-ampírico", que le aproxima a I. Lakatos, y una Epistemología realista, que le hace sintonizar con la ontología del mundo 3 de Karl popper. También se comparan algunos de sus planteamientos matemáticos con los presentados por Henri Pointcaré.
Palabras clave
PROGRESO MATEMÁTICO- VEROSIMILITUD-REALISMO MATEMÁTICO-CONTRUCTIVISMO
ABSTRACT
The notion of mathematical progress is one of the elements of Ilkka Niiniluoto's philosophy and methodology least studied. To clarify it, this paper revises Niiniluoto's philosophy of mathematics, based upon an episemology of criticalscientific realism. The paper underlines his conjunction between a "quasi-empirical" methodology, close to I. Lakatos, and a realist epistemology, close to Karl Popper'sontology of world 3. Finally, a comparison is outlined between niiniluoto"s and Henri Pointcare's mathematics.
KEYWORDS
MATHEMATICAL PROGRESS- TRHTHLIKNESS-MATHEMATICAL REALISM.CONSTRUCTIVISM
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