7 found
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Patrick Reeder [4]Patricia A. Reeder [2]Pat Reeder [1]
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Profile: Patrice Reeder (College of Wooster)
  1. Ben Caplan, Chris Tillman & Patrick Reeder (2010). Parts of Singletons. Journal of Philosophy 107 (10):501-533.
  2. 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.
    For almost twenty years, Penelope Maddy has been one of the most consistent expositors and advocates of naturalism in philosophy, with a special focus on the philosophy of mathematics, set theory in particular. Over that period, however, the term ‘naturalism’ has come to mean many things. Although some take it to be a rejection of the possibility of a priori knowledge, there are philosophers calling themselves ‘naturalists’ who willingly embrace and practice an a priori methodology, not a whole lot different (...)
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  3.  4
    Jacques Bair, Piotr Błaszczyk, Robert Ely, Valérie Henry, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Semen S. Kutateladze, Thomas McGaffey, Patrick Reeder, David M. Schaps, David Sherry & Steven Shnider (forthcoming). Interpreting the Infinitesimal Mathematics of Leibniz and Euler. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie:1-44.
    We apply Benacerraf’s distinction between mathematical ontology and mathematical practice to examine contrasting interpretations of infinitesimal mathematics of the seventeenth and eighteenth century, in the work of Bos, Ferraro, Laugwitz, and others. We detect Weierstrass’s ghost behind some of the received historiography on Euler’s infinitesimal mathematics, as when Ferraro proposes to understand Euler in terms of a Weierstrassian notion of limit and Fraser declares classical analysis to be a “primary point of reference for understanding the eighteenth-century theories.” Meanwhile, scholars like (...)
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  4.  27
    Patrick Reeder (2015). Zeno’s Arrow and the Infinitesimal Calculus. 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 (...)
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  5.  9
    Patricia A. Reeder, Elissa L. Newport & Richard N. Aslin (2010). Novel Words in Novel Contexts: The Role of Distributional Information in Formclass Category Learning. In S. Ohlsson & R. Catrambone (eds.), Proceedings of the 32nd Annual Conference of the Cognitive Science Society. Cognitive Science Society 2063--2068.
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  6. Patricia A. Reeder, Elissa L. Newport & Richard N. Aslin (2009). The Role of Distributional Information in Linguistic Category Formation. In N. A. Taatgen & H. van Rijn (eds.), Proceedings of the 31st Annual Conference of the Cognitive Science Society. 2564--2569.
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  7.  8
    Pat Reeder (2010). Parts of Singletons. Journal of Philosophy 107 (10):501-533.
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