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  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 (...)
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  • Truth and Genre in Pindar.Arum Park - 2013 - Classical Quarterly 63 (1):17-36.
    By convention epinician poetry claims to be both obligatory and truthful, yet in the intersection of obligation and truth lies a seeming paradox: the poet presents his poetry as commissioned by a patron but also claims to be unbiased enough to convey the truth. In Slater's interpretation Pindar reconciles this paradox by casting his relationship to the patron as one of guest-friendship: when he declares himself a guest-friend of the victor, he agrees to the obligation ‘a) not to be envious (...)
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  • Martin Heidegger’s Principle of Identity: On Belonging and Ereignis.Dominic Griffiths - 2017 - South African Journal of Philosophy 36 (3):326-336.
    This article discusses Heidegger’s interpretation of Parmenides given in his last public lecture ‘The Principle of Identity’ in 1957. The aim of the piece is to illustrate just how original and significant Heidegger’s reading of Parmenides and the principle of identity is, within the history of Philosophy. Thus the article will examine the traditional metaphysical interpretation of Parmenides and consider G.W.F. Hegel and William James’ account of the principle of identity in light of this. It will then consider Heidegger’s contribution, (...)
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  • Parmenides' Theistic Metaphysics.Jeremy C. DeLong - 2016 - Dissertation, University of Kansas
    The primary interpretative challenge for understanding Parmenides’ poem revolves around explaining both the meaning of, and the relationship between, its two primary sections: a) the positively endorsed metaphysical arguments which describe some unified, unchanging, motionless, and eternal “reality”, and b) the ensuing cosmology, which incorporates the very principles explicitly denied in Aletheia. I will refer to this problem as the “A-D Paradox.” I advocate resolving this paradoxical relationship by reading Parmenides’ poem as a ring-composition, and incorporating a modified version of (...)
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