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“Now” Has an Infinitesimal Positive Duration

In: Humanizing Mathematics and its Philosophy

Author

Listed:
  • Reuben Hersh

    (The University of New Mexico, Department of Mathematics and Statistics)

Abstract

Authors writing about Time have struggled to choose between a scientific instantaneous Now, with zero duration, or an experiential Now with some undefined small positive duration. The difficulty is resolved by the infinitesimal of Abraham Robinson. This article offers the nonstandard or “hyperreal” line as a model for Time, thereby to resolve a persistent controversy of the meaning of “Now.” As a “monad” in the Leibnizian time axis, “Now” is a time interval shorter than any standard positive interval, yet longer than any infinitesimal.

Suggested Citation

  • Reuben Hersh, 2017. "“Now” Has an Infinitesimal Positive Duration," Springer Books, in: Bharath Sriraman (ed.), Humanizing Mathematics and its Philosophy, pages 31-37, Springer.
  • Handle: RePEc:spr:sprchp:978-3-319-61231-7_4
    DOI: 10.1007/978-3-319-61231-7_4
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