Switch to: References

Add citations

You must login to add citations.
  1. Zeno’s arrow and the infinitesimal calculus.Patrick Reeder - 2015 - Synthese 192 (5):1315-1335.
    I offer a novel solution to Zeno’s paradox of The Arrow by introducing nilpotent infinitesimal lengths of time. Nilpotents are nonzero numbers that yield zero when multiplied by themselves a certain number of times. Zeno’s Arrow goes like this: during the present, a flying arrow is moving in virtue of its being in flight. However, if the present is a single point in time, then the arrow is frozen in place during that time. Therefore, the arrow is both moving and (...)
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  • Stoic Gunk.Daniel P. Nolan - 2006 - Phronesis 51 (2):162-183.
    The surviving sources on the Stoic theory of division reveal that the Stoics, particularly Chrysippus, believed that bodies, places and times were such that all of their parts themselves had proper parts. That is, bodies, places and times were composed of gunk. This realisation helps solve some long-standing puzzles about the Stoic theory of mixture and the Stoic attitude to the present.
    Download  
     
    Export citation  
     
    Bookmark   26 citations  
  • Incommensurables and Incomparables: On the Conceptual Status and the Philosophical Use of Hyperreal Numbers.Michael White - 1999 - Notre Dame Journal of Formal Logic 40 (3):420-446.
    After briefly considering the ancient Greek and nineteenth-century history of incommensurables (magnitudes that do not have a common aliquot part) and incomparables (magnitudes such that the larger can never be surpassed by any finite number of additions of the smaller to itself), this paper undertakes two tasks. The first task is to consider whether the numerical accommodation of incommensurables by means of the extension of the ordered field of rational numbers to the field of reals is `similar' or analogous to (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Stoicism bibliography.Ronald H. Epp - 1985 - Southern Journal of Philosophy 23 (S1):125-171.
    Download  
     
    Export citation  
     
    Bookmark  
  • Stoicism Bibliography.Ronald H. Epp - 1985 - Southern Journal of Philosophy 23 (S1):125-171.
    Download  
     
    Export citation  
     
    Bookmark  
  • Why Zeno’s Paradoxes of Motion are Actually About Immobility.Bathfield Maël - 2018 - Foundations of Science 23 (4):649-679.
    Zeno’s paradoxes of motion, allegedly denying motion, have been conceived to reinforce the Parmenidean vision of an immutable world. The aim of this article is to demonstrate that these famous logical paradoxes should be seen instead as paradoxes of immobility. From this new point of view, motion is therefore no longer logically problematic, while immobility is. This is convenient since it is easy to conceive that immobility can actually conceal motion, and thus the proposition “immobility is mere illusion of the (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation