Kant on the construction and composition of motion in the Phoronomy.

This paper examines the role of Kant's theory of mathematical cognition in his phoronomy, his pure doctrine of motion. I argue that Kant's account of how we can construct the composition of motion rests on the construction of extended intervals of space and time, and the representation of the identi...

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Publicado en:Canadian Journal of Philosophy Vol. 44; no. 5/6; pp. 686 - 719
Autor principal: Sutherland, Daniel
Formato: Artículo
Publicado: Cambridge University Press Oct-Dec2014
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Oct-Dec2014
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        affil: Department of Philosophy, University of Illinois at Chicago, Chicago, IL, 60607, USA
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        Kant, Immanuel, 1724-1804
        Philosophy of mathematics
        Spacetime
        Motion
        Political attitudes
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          Kant, Immanuel, 1724-1804
          Philosophy of mathematics
          Spacetime
          Motion
          Political attitudes
      keyword:
        history of mathematics
        history of science
        Kant
        philosophy
        philosophy of mathematics
        philosophy of science
      ab: This paper examines the role of Kant's theory of mathematical cognition in his phoronomy, his pure doctrine of motion. I argue that Kant's account of how we can construct the composition of motion rests on the construction of extended intervals of space and time, and the representation of the identity of the part–whole relations the construction of these intervals allow. Furthermore, the construction of instantaneous velocities and their composition also rests on the representation of extended intervals of space and time, reflecting the general approach to instantaneous velocity in the eighteenth century.
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    language: English
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