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  1. Zeno's Paradox as a Derivative for the Ontological Proof of Panpsychism.Eamon Macdougall - manuscript
    This article attempts to elucidate the phenomenon of time and its relationship to consciousness. It defends the idea that time exists both as a psychological or illusory experience, and as an ontological property of spacetime that actually exists independently of human experience.
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  2. Livio Rossetti, Verso la filosofia: nuove prospettive su Parmenide, Zenone e Melisso. [REVIEW]Benjamin Harriman - 2022 - Philosophie Antique 22.
    In this the eighth volume of the Eleatica series, the mastermind behind this wonderful tradition of conferences and subsequent publications, Livio Rossetti, provides a concise introduction to his extensive work over many years on Parmenides and the Eleatic tradition. Following in the model of previous contributions to the series, we find a detailed introduction by the volume’s editors, Rossetti’s three lectures on our three Eleatics, ten thoughtful responses by the conference participants, an...
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  3. How can a line segment with extension be composed of extensionless points?Brian Reese, Michael Vazquez & Scott Weinstein - 2022 - Synthese 200 (2):1-28.
    We provide a new interpretation of Zeno’s Paradox of Measure that begins by giving a substantive account, drawn from Aristotle’s text, of the fact that points lack magnitude. The main elements of this account are (1) the Axiom of Archimedes which states that there are no infinitesimal magnitudes, and (2) the principle that all assignments of magnitude, or lack thereof, must be grounded in the magnitude of line segments, the primary objects to which the notion of linear magnitude applies. Armed (...)
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  4. What about Plurality? Aristotle’s Discussion of Zeno’s Paradoxes.Barbara M. Sattler - 2021 - Peitho 12 (1):85-106.
    While Aristotle provides the crucial testimonies for the paradoxes of motion, topos, and the falling millet seed, surprisingly he shows almost no interest in the paradoxes of plurality. For Plato, by contrast, the plurality paradoxes seem to be the central paradoxes of Zeno and Simplicius is our primary source for those. This paper investigates why the plurality paradoxes are not examined by Aristotle and argues that a close look at the context in which Aristotle discusses Zeno holds the answer to (...)
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  5. VI—Paradoxes as Philosophical Method and Their Zenonian Origins.Barbara M. Sattler - 2021 - Proceedings of the Aristotelian Society 121 (2):153-181.
    In this paper I show that one of the most fruitful ways of employing paradoxes has been as a philosophical method that forces us to reconsider basic assumptions. After a brief discussion of recent understandings of the notion of paradoxes, I show that Zeno of Elea was the inventor of paradoxes in this sense, against the background of Heraclitus’ and Parmenides’ way of argumentation: in contrast to Heraclitus, Zeno’s paradoxes do not ask us to embrace a paradoxical reality; and in (...)
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  6. Did Frege Solve One of Zeno’s Paradoxes?Gregory Lavers - 2020 - In Maria Zack & Dirk Schlimm (eds.), Research in History and Philosophy of Mathematics: The CSHPM 2018 Volume. Springer Verlag. pp. 99--107.
    Of Zeno’s book of forty paradoxes, it was the first that attracted Socrates’ attention. This is the paradox of the like and the unlike. On contemporary assessments, this paradox is largely considered to be Zeno’s weakest surviving paradox. All of these assessments, however, rely heavily on reconstructions of the paradox. It is only relative to these reconstructions that there is nothing paradoxical involved, or that there is some rather obvious mistake being made. This paper puts forward and defends a novel (...)
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  7. The Concept of Motion in Ancient Greek Thought: Foundations in Logic, Method, and Mathematics.Barbara M. Sattler - 2020 - New York, NY, USA: Cambridge University Press.
    This book examines the birth of the scientific understanding of motion. It investigates which logical tools and methodological principles had to be in place to give a consistent account of motion, and which mathematical notions were introduced to gain control over conceptual problems of motion. It shows how the idea of motion raised two fundamental problems in the 5th and 4th century BCE: bringing together being and non-being, and bringing together time and space. The first problem leads to the exclusion (...)
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  8. Mathilde Brémond, Lectures de Mélissos. Édition, traduction et interprétation des témoignages sur Mélissos de Samos. [REVIEW]Benjamin Harriman - 2019 - Philosophie Antique 19:172-174.
    Melissus of Samos has long been due an uptick in scholarly attention. His plainly worded, workmanlike Ionic prose offers a welcome contrast to Parmenides’ Epic—and often deeply obscure—hexameters. Melissus, too, seems to have come to be something of a representative for Eleatic thought in antiquity and makes intriguing appearances in Plato’s Theaetetus and, particularly, in Aristotle’s dialectical accounts of his predecessors that have never quite received satisfactory treatment. Happily, th...
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  9. The Labours of Zeno – a Supertask indeed?Barbara M. Sattler - 2019 - Ancient Philosophy Today 1 (1):1-17.
    It is usually supposed that, with his dichotomy paradox, Zeno gave birth to the modern so-called supertask debate – the debate of whether carrying out an infinite sequence of actions or operations...
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  10. Why Continuous Motions Cannot Be Composed of Sub-motions: Aristotle on Change, Rest, and Actual and Potential Middles.Caleb Cohoe - 2018 - Apeiron 51 (1):37-71.
    I examine the reasons Aristotle presents in Physics VIII 8 for denying a crucial assumption of Zeno’s dichotomy paradox: that every motion is composed of sub-motions. Aristotle claims that a unified motion is divisible into motions only in potentiality (δυνάμει). If it were actually divided at some point, the mobile would need to have arrived at and then have departed from this point, and that would require some interval of rest. Commentators have generally found Aristotle’s reasoning unconvincing. Against David Bostock (...)
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  11. Melissus and Eleatic Monism.Benjamin Harriman - 2018 - New York: Cambridge University Press.
    In the fifth century BCE, Melissus of Samos developed wildly counterintuitive claims against plurality, change, and the reliability of the senses. This book provides a reconstruction of the preserved textual evidence for his philosophy, along with an interpretation of the form and content of each of his arguments. A close examination of his thought reveals an extraordinary clarity and unity in his method and gives us a unique perspective on how philosophy developed in the fifth century, and how Melissus came (...)
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  12. Moving, Moved and Will be Moving: Zeno and Nāgārjuna on Motion from Mahāmudrā, Koan and Mathematical Physics Perspectives.Robert Alan Paul - 2017 - Comparative Philosophy 8 (2):65-89.
    Zeno’s Arrow and Nāgārjuna’s Fundamental Wisdom of the Middle Way Chapter 2 contain paradoxical, dialectic arguments thought to indicate that there is no valid explanation of motion, hence there is no physical or generic motion. There are, however, diverse interpretations of the latter text, and I argue they apply to Zeno’s Arrow as well. I also find that many of the interpretations are dependent on a mathematical analysis of material motion through space and time. However, with modern philosophy and physics (...)
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  13. The Third Man and the Coherence of the Parmenides.Howard Peacock - 2017 - Oxford Studies in Ancient Philosophy 52:113-176.
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  14. Zenonian Strategies.David Sedley - 2017 - Oxford Studies in Ancient Philosophy 53.
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  15. Zeno of Elea.H. D. P. Lee - 2015 - Amsterdam: Cambridge University Press. Edited by Henry Desmond Pritchard Lee.
    Originally published in 1936, this book presents the ancient Greek text of the paraphrases and quotations of Zeno's philosophical arguments, together with a facing-page English translation and editorial commentary. Detailed notes are incorporated throughout and a bibliography is also included. This book will be of value to anyone with an interest in Zeno and ancient philosophy.
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  16. Time is Double the Trouble: Zeno’s Moving Rows.Barbara Sattler - 2015 - Ancient Philosophy 35 (1):1-22.
    Zeno’s Moving Rows paradox is the only paradox among his four paradoxes of motion that is usually skipped over as being of no philosophical interest. This paper aims to give a new diagnosis of the Moving Rows paradox, a diagnosis that allows us to see it as raising a philosophically interesting problem concerning the relationship of time, space, and motion. It shows the consequences of confusing time’s dependence on the space covered in a motion with time’s dependence on the motion (...)
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  17. Jonathan Barnes et al.: Eleatica 2008: Zenone e l’infinito. [REVIEW]Gregor Damschen & Rafael Ferber - 2014 - Gnomon 86 (1):71-73.
  18. Zenão e a impossibilidade da analogia (versão ampliada).Alessio Gava - 2014 - Archai: Revista de Estudos Sobre as Origens Do Pensamento Ocidental 12:25-30.
    NOTA PRELIMINAR: o texto a seguir representa a versão ampliada (e corrigida conforme as indicações dos pareceristas) do artigo homônimo, publicado na revista Archai em 2014. Por algum problema técnico, acabou sendo publicada, na época, a primeira versão, sem as melhorias sugeridas pelos avaliadores. Eis, então, a versão ‘definitiva’ do artigo “Zenão e a impossibilidade da analogia”: -/- A reductio ad absurdum foi elevada por Zenão de Eléia a único método que permitiria vislumbrar a verdadeira realidade, invisível tanto aos sentidos (...)
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  19. Zeno and the impossibility of analogy.Alessio Gava - 2014 - Archai: Revista de Estudos Sobre as Origens Do Pensamento Ocidental 12:25-30.
    The reductio ad absurdum has been elected by Zeno as the only method permitting to descry the true reality, invisible both to the senses and to the common way of thinking. Showing some continuity with the previous philosophers, not only in the search for a procedure in order to speculation to advance, but also on the same route departing from what is nearer, more acquainted and particular (visible) toward what is less acquainted, more distant and universal (invisible), to say it (...)
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  20. Zeno’s Paradoxes Revisited.Anguel S. Stefanov - 2013 - Logos and Episteme (3):319-335.
    My aim in this paper is to suggest a new outlook concerning the nature of Zeno’s paradoxes. The attention is directed towards the three famous paradoxes known as “Dichotomy,” “Achilles and the Tortoise,” and “The Arrow.” An analysis of the paradigmatic proposals for a solution shows that an adequate solution has not yet been reached. An answer is provided instead to the question “How Zeno’s paradoxes emerge in their quality of aporiae?,” that is to say in their quality of impasses, (...)
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  21. Zeno's metrical paradox of extension and Descartes' mind-body problem.Rafael Ferber - 2010 - In Stefania Giombini E. Flavia Marcacci (ed.), Estratto da/Excerpt from: Il quinto secolo. Studi di loso a antica in onore di Livio Rossetti a c. di Stefania Giombini e Flavia Marcacci. Aguaplano—Of cina del libro, Passignano s.T. 2010, pp. 295-310 [isbn/ean: 978-88-904213-4-1]. pp. 205-310.
    The article uses Zeno’s metrical paradox of extension, or Zeno’s fundamental paradox, as a thought-model for the mind-body problem. With the help of this model, the distinction contained between mental and physical phenomena can be formulated as sharply as possible. I formulate Zeno’s fundamental paradox and give a sketch of four different solutions to it. Then I construct a mind-body paradox corresponding to the fundamental paradox. Through that, it becomes possible to copy the solutions to the fundamental paradox on the (...)
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  22. Zeno’s Paradoxes.Bradley Dowden - 2009 - Internet Encyclopedia of Philosophy.
    Zeno’s Paradoxes In the fifth century B.C.E., Zeno offered arguments that led to conclusions contradicting what we all know from our physical experience—that runners run, that arrows fly, and that there are many different things in the world. The arguments were paradoxes for the ancient Greek philosophers. Because many of the arguments turn crucially on … Continue reading Zeno’s Paradoxes →.
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  23. Zeno of elea.John Palmer - 2008 - Stanford Encyclopedia of Philosophy.
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  24. The quantum logic of Zeno: Misconceptions and Restorations.Constantin Antonopoulos - 2007 - Acta Philosophica 16 (2):265-284.
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  25. Aristotle, Zeno, and the Stadium Paradox.Kevin Davey - 2007 - History of Philosophy Quarterly 24 (2):127 - 146.
  26. Zeno’s Boêtheia Tôi Logôi.Phil Hopkins - 2006 - Epoché: A Journal for the History of Philosophy 11 (1):1-25.
    This essay addresses two central issues that continue to trouble interpretation of Zeno’s paradoxes: 1) their solution, and 2) their place in the history of philosophy. I offer an account of Zeno’s work as pointing to an inevitable paradox generated by our ways of thinking and speaking about things, especially about things as existing in the continua of space and time. In so doing, I connect Zeno’s arguments to Parmenides’ critique of “naming” in Fragment 8, an approach that I believe (...)
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  27. Moving without being where you 're not; a non-bivalent way'.Constantin Antonopoulos - 2004 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 35 (2):235 - 259.
    The classical response to Zeno’s paradoxes goes like this: ‘Motion cannot properly be defined within an instant. Only over a period’ (Vlastos.) I show that this ob-jection is exactly what it takes for Zeno to be right. If motion cannot be defined at an instant, even though the object is always moving at that instant, motion cannot be defined at all, for any longer period of time identical in content to that instant. The nonclassical response introduces discontinuity, to evade the (...)
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  28. Zeno of Elea' Paradoxes (The Dialectic of Stability and Motion from a Contemporary Mathematical View) مفارقات زينون: جدل الثبات والحركة من منظور رياضي معاصر.Salah Osman - 2004 - Menoufia University, Faculty of Arts Journal, Egypt 58:99 - 139.
    لا شك أن مفارقات زينون في الحركة قد تم تناولها – تحليلاً ونقدًا – في كثيرٍ من أدبيات العلم والفلسفة قديمًا وحديثًا، حتى لقد ساد الظن بأن ملف المفارقات قد أغُلق تمامًا، لاسيما بعد أن نجح الحساب التحليلي في التعامل منطقيًا مع صعوبات الأعداد اللامتناهية، لكن الفرض الأساسي لهذا البحث يزعم عكس ذلك؛ أعني أن الملف مازال مفتوحًا وبقوة – خصوصًا على المستوى الرياضي الفيزيائي – وأن إغلاقه النهائي قد لا يتم في المستقبل القريب. من جهة أخرى، إذا كانت فكرة (...)
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  29. Zeno's arrow, Newton's mechanics, and bell's inequalities.Leonard Angel - 2002 - British Journal for the Philosophy of Science 53 (2):161-182.
    A model of a new version of Zeno's arrow paradox is presented in a plausible extension of Newtonian collision mechanics. In exploring various avenues for resolution of the paradox, it becomes evident that a prerelativistic classical physical topology which is locally deterministic can mechanically generate nonclassical ontological properties such as the appearance of a particle in many places at once. It can also mimic some properties of quantum physics, including unprepared spatially-separated correlations. 1 Zeno's arrow paradox 2 Newtonian collision mechanics (...)
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  30. Zeno's Paradoxes.Nicholas Huggett - 2002
    Almost everything that we know about Zeno of Elea is to be found in the opening pages of Plato's Parmenides. There we learn that Zeno was nearly 40 years old when Socrates was a young man, say 20. Since Socrates was born in 469 BC we can estimate a birth date for Zeno around 490 BC. Beyond this, really all we know is that he was close to Parmenides (Plato reports the gossip that they were lovers when Zeno was young), (...)
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  31. A physical model of Zeno's dichotomy.Leonard Angel - 2001 - British Journal for the Philosophy of Science 52 (2):347-358.
    A model of Zeno's dichotomy paradox is presented in Newtonian collision mechanics. One of several resolutions of the paradox illustrates the point that even in Newtonian ontology there is a spacetime weave. In a Newtonian system in which the base rules permit only spatial contact interactions, we find the mechanical emergence of action-at-a-distance effects.
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  32. Zeno's Dichotomy in Aristotle.Richard McKirahan - 2001 - Philosophical Inquiry 23 (1-2):1-24.
  33. Zeno’s paradox for colours.Barry Smith - 2000 - In O. K. Wiegand, R. J. Dostal, L. Embree, J. Kockelmans & J. N. Mohanty (eds.), Phenomenology on Kant, German Idealism, Hermeneutics, and Logic. Dordrecht. pp. 201-207.
    We outline Brentano’s theory of boundaries, for instance between two neighboring subregions within a larger region of space. Does every such pair of regions contain points in common where they meet? Or is the boundary at which they meet somehow pointless? On Brentano’s view, two such subregions do not overlap; rather, along the line where they meet there are two sets of points which are not identical but rather spatially coincident. We outline Brentano’s theory of coincidence, and show how he (...)
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  34. La matematica moderna e Zenone.Alessio Gava - 1999 - Esercizi Filosofici 4:127-138.
  35. Equality, Priority and Social Justice.Richard Norman - 1999 - Ratio 12 (2):178-194.
    The moral principle of giving greater priority to benefiting people, the less well off they are, has been thought by some to share the plausibility of egalitarianism whilst avoiding the less plausible implications of the latter. This paper argues that the 'priority' principle does have an authentic place in our moral thinking, and that it is distinct from the idea of ‘equality’, but that the latter also has an indispensible role to play. The idea of ‘priority’has its place as the (...)
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  36. Zenonian Arguments in Quantum Mechanics.László Ropolyi & Péter Szegedi - 1999 - In D. Greenberger, W. L. Reiter & A. Zeilinger (eds.), Epistemological and Experimental Perspectives on Quantum Physics. Dordrecht: Springer. pp. 253-256.
    Zeno’s Dichotomy aporia says: “Motion is impossible, because an object in motion must reach the half-way point before it gets to the end ”. In the recent philosophical literature there are several kinds of interpretations: negative and positive dialectics, atomism, radical empiricism, finitism, infinitism, indefinitism, etc. The scientific reflections on the paradoxes time to time produce different types of “resolutions” of these problems.[1] Most of these treatments use some kind of measure concept which can be questioned.[2] Instead of resolution, we (...)
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  37. The Legacy of Parmenides. [REVIEW]Daniel W. Graham - 1998 - Ancient Philosophy 18 (2):435-439.
  38. On some paradoxes of the infinite II.Victor Allis & Teun Koetsier - 1995 - British Journal for the Philosophy of Science 46 (2):235-247.
    In an earlier paper the authors discussed some super-tasks by means of a kinematical interpretation. In the present paper we show a semi-formal way that a more abstract treatment is possible. The core idea of our approach is simple: if a super-task can be considered as a union of (finite) tasks, it is natural to define the effect of the super-task as the union of the effects of the finite tasks it consists of. We show that this approach enables us (...)
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  39. Zur Kognition räumlicher Grenzen: Eine mereotopologische Untersuchung.Barry Smith - 1995 - Kognitionswissenschaft 4:177-184.
    The perception of spatial bodies is at least in part a perception of bodily boundaries or surfaces. The usual mathematical conception of boundaries as abstract constructions is, however, of little use for cognitive science purposes. The essay therefore seeks a more adequate conception of the ontology of boundaries building on ideas in Aristotle and Brentano on what we may call the coincidence of boundaries. It presents a formal theory of boundaries and of the continua to which they belong, of a (...)
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  40. Eleatic Monism in Zeno and Melissus.Patricia Kenig Curd - 1993 - Ancient Philosophy 13 (1):1-22.
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  41. Philosophical Investigations on Space, Time, and the Continuum, Translated by Barry Smith.Franz Brentano - 1988 - London/Sydney: Routledge & Kegan Paul.
    Franz Brentano is recognised as one of the most important philosophers of the late nineteenth and early twentieth centuries. This work, first published in English in 1988, besides being an important contribution to metaphysics in its own right, has considerable historical importance through its influence on Husserl’s views on internal time consciousness. The work is preceded by a long introduction by Stephan Körner in collaboration with Brentano’s literary executor Roderick Chisholm. It is translated by Barry Smith.
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  42. The Spatial Arrow Paradox.Michael J. White - 1987 - Pacific Philosophical Quarterly 68 (1):71-77.
  43. Zeno's paradoxes and temporal becoming in dialectical atomism.Hristo Smolenov - 1984 - Studia Logica 43 (1-2):169 - 180.
    The homogeneity of time (i.e. the fact that there are no privileged moments) underlies a fundamental symmetry relating to the energy conservation law. On the other hand the obvious asymmetry between past and future, expressed by the metaphor of the arrow of time or flow of time accounts for the irreversibility of what happens. One takes this for granted but the conceptual tension it creates against the background of time''s presumed homogeneity calls for an explanation of temporal becoming. Here, it (...)
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  44. Zeno on Knowledge or on Geometry? The Evidence of anon. In Theaetetum.Harold Tarrant - 1984 - Phronesis 29 (1):96-99.
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  45. Zeno’s Paradoxes Still in Motion.Wilbur R. Knorr - 1983 - Ancient Philosophy 3 (1):55-66.
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  46. Zeno on Plurality.Stephen Makin - 1982 - Phronesis 27 (3):223-238.
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  47. Zeno's Paradoxes - Rafael Ferber: Zenons Paradoxien der Bewegung und die Struktur von Raum und Zeit. (Zetemata, 76.) Pp. vii + 100. Munich: C. H. Beck, 1981. Paper, DM. 32. [REVIEW]Malcolm Schofield - 1982 - The Classical Review 32 (02):188-189.
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  48. A Note on Zeno's Arrow.Jonathan Lear - 1981 - Phronesis 26 (2):91-104.
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  49. An Interpretation of Zeno's Stadium Paradox.John Immerwahr - 1978 - Phronesis 23 (1):22-26.
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  50. A ristotle on Zeno and the now.F. R. Pickering - 1978 - Phronesis 23 (3):253-257.
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