Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes from Berkeley to Russell and Beyond

@article{Katz2013LeibnizsIT,
  title={Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes from Berkeley to Russell and Beyond},
  author={Mikhail G. Katz and David Sherry},
  journal={Erkenntnis},
  year={2013},
  volume={78},
  pages={571-625}
}
  • Mikhail G. Katz, David Sherry
  • Published 2013
  • Mathematics, Philosophy
  • Erkenntnis
  • Many historians of the calculus deny significant continuity between infinitesimal calculus of the seventeenth century and twentieth century developments such as Robinson’s theory. Robinson’s hyperreals, while providing a consistent theory of infinitesimals, require the resources of modern logic; thus many commentators are comfortable denying a historical continuity. A notable exception is Robinson himself, whose identification with the Leibnizian tradition inspired Lakatos, Laugwitz, and others… CONTINUE READING

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