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3 results

  • 8 - Continuity, Constructibility, and Intuitivity

  • from Part III - Space and Geometry
  • Edited by Carl Posy, Hebrew University of Jerusalem, Ofra Rechter, Tel-Aviv University
  • Book:
    Kant's Philosophy of Mathematics
    Published online:
    24 April 2020
    Print publication:
    21 May 2020, pp 181-199

  • Summary

    This paper discusses the place of the infinite in Kant’s philosophy, in particular as required for continuity in mathematics and physics. A fine-grained examination of the roles that the infinite and the infinitesimal play in Kant’s theory that illuminates the notion of construction in Kant’s philosophy of mathematics also uncovers challenges to certain prominent interpretations of Kant’s reliance on logic and intuition in mathematics.

  • 3 - Kant on Mathematics and the Metaphysics of Corporeal Nature

  • from Part I - Roots
  • Edited by Carl Posy, Hebrew University of Jerusalem, Ofra Rechter, Tel-Aviv University
  • Book:
    Kant's Philosophy of Mathematics
    Published online:
    24 April 2020
    Print publication:
    21 May 2020, pp 66-82

  • Summary

    This paper tracks the shift and the continuity in Kant’s views about the relation between mathematics and physics from the early precritical Physical Monadology (1756) up to the middle critical Metaphysical Foundations of Natural Science (1786) and compares the ways that Kant uses the mathematical ideas of infinite divisibility and the notion of infinitesimal to ground basic metaphysical notions such as contact and corporeal nature.