The Law of Natural Numbers

Chapter
Part of the Boston Studies in the Philosophy of Science book series (BSPS, volume 288)

Abstract

Having excluded every possible external cause for free fall, while establishing impetus as a necessary inner cause, Fabri proceeds to develop his “natural numbers” law – that in each successive (equal) amount of time a falling body passes a distance which is one unit bigger than its immediate predecessor, i.e. according to the simple series 1, 2, 3, 4, 5 etc. This chapter outlines the way Fabri develops his “discrete” rule – a mirror image of Galileo’s continuous analysis – by employing impetus and adopting Galileo’s Archimedean-style “infrastructure”, that discards levity and allows for motion in the void.

Keywords

Arithmetical Progression Free Fall Natural Motion Uniform Motion Heavy Body 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Fabri, Honoré. 1646. Tractatus physicus de motu locali, in quo effectus omnes, qui ad impetum, motum naturalem, violentum, & mixtum pertinent, explicantur, & ex principiis physicis demonstrantur; auctore Petro Mousnerio Doctore Medico; cuncta excerpta ex praelectionibus R. P. Honorati Fabry, Societatis Iesu. Lyon.Google Scholar
  2. Fabri, Honoré. 1669–1671. Physica, id est scientia rerum corporearum, in decem tractatus distributa; auctore Honorato Fabri, soc. Iesu. Lyon.Google Scholar
  3. Leibniz, Gottfried Wilhelm. 2006. Gottfried Wilhelm Leibniz: The Art of Controversies (ed. and trans: Dascal, M., Racionero, Q., and Cardoso, A.). Dordrecht: Springer.Google Scholar
  4. Lukens, David C. 1979. An Aristotelian Response to Galileo: Honoré Fabri, S.J. (1608–1688) on the Causal Analysis of Motion. Ph.D. Thesis, University of Toronto.Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Max Planck Institute for the History of ScienceBerlinGermany

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