1. Patrick Reeder (forthcoming). Zeno’s Arrow and the Infinitesimal Calculus. Synthese:1-21.
    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 (...)
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  2. Ben Caplan, Chris Tillman & Patrick Reeder (2010). Parts of Singletons. Journal of Philosophy 107 (10):501-533.
  3. Stewart Shapiro & Patrick Reeder (2009). A Scientific Enterprise?: A Critical Study of P. Maddy, Second Philosophy: A Naturalistic Method. [REVIEW] Philosophia Mathematica 17 (2):247-271.
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