Forms of mathematization of natural philosophy: Galileo and the socio–cognitive redefinition of his mathematics

Keywords: practices, mathematization, geometry, Galileo, natural philosophy

Abstract

The topic of this paper is the certainty of mathematics during the 16th and 17th centuries. The specific problem it addresses is that mathematics, in this context, does not provide causal explanations and therefore is not considered to be part of natural philosophy. My working-hypothesis is that the epistemological redefinition of mathematics depends on the practices and on sociocognitive factors; I suggest that there is a redefinition of practices and of the treatment of objects, such as the inclined plane, the balance, the lever and the pendulum. In order to develop this idea, I will firstly analyze the question of the hegemony of natural philosophy over mathematics. Secondly, I will present the relationship between mathematics and natural philosophy, based on the conceptual and practical uses of objects in the Galilean context. Finally, I will point out the practical and epistemological redefinition of mathematics as the study of mathematics applied to motion.

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Author Biography

Helbert Velilla, Facultad de Educación Universidad de Antioquia

Estudiante de Maestría en Educación en Ciencias Naturales de la Universidad de Antioquia. Docente de la Universidad de Antioquia en las áreas de Filosofía, Historia y Sociología de la ciencia y Ciencia de la Educación. Miembro del grupo de investigación “Estudios culturales sobre la ciencia y su enseñanza” de la Facultad de Educación de la Universidad de Antioquia y “Conocimiento, Filosofía, Ciencia, Historia y Sociedad” del Instituto de Filosofía de la misma universidad. Ha sido profesor del Instituto de Filosofía y de la Facultad de Educación de la Universidad de Antioquia. Publicaciones: Las matemáticas de los siglos XVI y XVII en la historiografía cientí ca contemporánea. En: Revista colombiana de losofía de la ciencia, Vol. 15, (31), (2015); El debate sobre la certeza de las matemáticas en la losofía natural de los siglos XVI y XVII (De quaestio de certitudine mathematicarum). En: Saga, N. 28 (2015). La importancia de los estudios metacientí cos en la formación cientí ca y la enseñanza de las ciencias. En: Versiones, N. 4, (2013); La ascensión de las matemáticas en la Modernidad: Epistemología y Teología Voluntarista en Isaac Barrow. En: Légein, N. 17, (2013).

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Published
2018-04-10
How to Cite
Velilla, H. (2018). Forms of mathematization of natural philosophy: Galileo and the socio–cognitive redefinition of his mathematics. Estudios De Filosofía, (57), 59-93. https://doi.org/10.17533/udea.ef.n57a04
Section
Original or Research articles