Results for 'zeno'

82 found
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  1. Zeno Goes to Copenhagen: A Dilemma for Measurement-Collapse Interpretations of Quantum Mechanics.David J. Chalmers & Kelvin J. McQueen - 2023 - In M. C. Kafatos, D. Banerji & D. C. Struppa (eds.), Quantum and Consciousness Revisited. DK Publisher.
    A familiar interpretation of quantum mechanics (one of a number of views sometimes labeled the "Copenhagen interpretation'"), takes its empirical apparatus at face value, holding that the quantum wave function evolves by the Schrödinger equation except on certain occasions of measurement, when it collapses into a new state according to the Born rule. This interpretation is widely rejected, primarily because it faces the measurement problem: "measurement" is too imprecise for use in a fundamental physical theory. We argue that this is (...)
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  2. 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 (...)
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  3.  58
    Zeno-machines and the metaphysics of time.Augusto Andraus - 2016 - Filosofia Unisinos 17 (2).
    This paper aims to explore the nature of Zeno-machines by examining their conceptual coherence, from the perspective of contemporary theories on the passage of time. More specifically, it will analyse the following questions: Are Zeno-machines and supertasks coherent if we adopt the eternalist theory of time? What conclusions can be drawn from choosing the eternalist thesis, or the presentist thesis, when examining Zeno-machines? To this end, an overview of the opposing theories of time is provided, alongside the (...)
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  4. (1 other version)Zeno Paradox, Unexpected Hanging Paradox (Modeling of Reality & Physical Reality, A Historical-Philosophical view).Farzad Didehvar - manuscript
    . In our research about Fuzzy Time and modeling time, "Unexpected Hanging Paradox" plays a major role. Here, we compare this paradox to the Zeno Paradox and the relations of them with our standard models of continuum and Fuzzy numbers. To do this, we review the project "Fuzzy Time and Possible Impacts of It on Science" and introduce a new way in order to approach the solutions for these paradoxes. Additionally, we have a more general discussion about paradoxes, as (...)
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  5. Epistemic Zeno Effect.Nadisha-Marie Aliman - manuscript
    This short autodidactic paper compactly introduces the epistemic algorithmic computation (EaC) paradox, a novel analogy to the Turing paradox. Firstly, it is elucidated why in the deepfake era, crafting a provisional solution to the EaC paradox may be beneficent as it may shed more light on one ingrained consequence of the prevailing algorithmic supremacy paradigm: the retrospective obsolescence of the entire biosphere in the game of life precipitated by algorithms instantiated on inert matter. Secondly, the paper analyzes and deconstructs the (...)
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  6. (1 other version)Zeno’s Paradoxes. A Cardinal Problem. I. On Zenonian Plurality.Karin Verelst - 2005 - The Baltic International Yearbook of Cognition, Logic and Communication 1.
    It will be shown in this article that an ontological approach for some problems related to the interpretation of Quantum Mechanics (QM) could emerge from a re-evaluation of the main paradox of early Greek thought: the paradox of Being and non-Being, and the solutions presented to it by Plato and Aristotle. More well known are the derivative paradoxes of Zeno: the paradox of motion and the paradox of the One and the Many. They stem from what was perceived by (...)
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  7. Zeno Beach.Jacob Rosen - 2020 - Phronesis 65 (4):467-500.
    On Zeno Beach there are infinitely many grains of sand, each half the size of the last. Supposing Aristotle denied the possibility of Zeno Beach, did he have a good argument for the denial? Three arguments, each of ancient origin, are examined: the beach would be infinitely large; the beach would be impossible to walk across; the beach would contain a part equal to the whole, whereas parts must be lesser. It is attempted to show that none of (...)
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  8. Zeno’s paradox for colours.Barry Smith - 2000 - In O. K. Wiegand, R. J. Dostal, L. Embree, J. Kockelmans & J. N. Mohanty (eds.), Phenomenology of 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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  9. Zeno objects and supervenience.Simon Prosser - 2009 - Analysis 69 (1):18 - 26.
    Many philosophers accept a ‘layered’ world‐view according to which the facts about the higher ontological levels supervene on the facts about the lower levels. Advocates of such views often have in mind a version of atomism, according to which there is a fundamental level of indivisible objects known as simples or atoms upon whose spatiotemporal locations and intrinsic properties everything at the higher levels supervenes.1 Some, however, accept the possibility of ‘gunk’ worlds in which there are parts ‘all the way (...)
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  10. 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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  11. What's Wrong with Zeno.Andrew Wutke - manuscript
    There was a time in my school years when I have learned about Achilles and Tortoise “paradox” originated from Zeno. It was then clear that the ancient Greeks were arguing about this problem but contemporary science has clarified the issue. Yet to my surprise the problem is still debated over and over, despite the fact there exist mathematical proofs. I feel like reminding myself why this is not a paradox beyond reasonable doubt. This is a draft to a section (...)
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  12. 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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  13. 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 (...)
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  14. 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 (...)
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  15. (1 other version)A Solution of Zeno's Paradox of Motion - based on Leibniz' Concept of a Contiguum.Dan Kurth - 1997 - Studia Leibnitiana, Bd. 29, H. 2 (1997), Pp. 146-166 29 (Leibniz):146-166.
    In der vorliegenden Arbeit soll eine Lösung der zenonischen Paradoxie des ruhenden Pfeils vorgestellt werden, die auf möglichen Implikationen des Kontiguumbegriffs beruht, wie ihn Leibniz in mehreren Arbeiten zu den Grundlagen der Dynamik entwickelt hat. Wesentlich sind dabei wechselseitige thematische Bezüge seiner Theoria Motus Abstracti und seines Dialogs Pacidius Philalethi. Aus der von Leibniz durchgeführten Analyse des Kontiguums als einer Voraussetzung der Möglichkeit von Bewegung ergibt sich, daß das (scheinbar zwischen Kontinuum und Diskretheit angesiedelte) Kontiguum - in heutiger Terminologie - (...)
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  16. Applying the immobility theory to thoroughly solve the three Zeno’s paradoxes.Ninh Khac Son - manuscript
    - Applying the law of conservation of time to solve the Achilles and the tortoise paradox. - Applying the smallest unit of time T_min in the universe to solve the Dichotomy paradox. - Applying the disappearing property of matter when moving to solve the Arrow paradox.
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  17.  65
    Special Relativity Anticipating Achilles Paradox.Morteza Shahram - manuscript
    Zeno's paradox of Achilles and Tortoise is relevant only when Achilles and the tortoise move at different speeds but not if they ever move at the same speed but different directions. Or not relevant if there is in addition a kind of space in which they move at the same speed contrary to appearances. -/- According to a principle of special relativity the more an object moves in coordinate space the less it moves in coordinate time. If the relative (...)
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  18. Send in the Clowns.Daniel Nolan - forthcoming - In Karen Bennett & Dean Zimmerman (eds.), Oxford Studies in Metaphysics Vol. 14. Oxford: Oxford University Press.
    Thought experiments are common where infinitely many entities acting in concert give rise to strange results. Some of these cases, however, can be generalized to yield almost omnipotent systems from limited materials. This paper discusses one of these cases, bringing out one aspect of what seems so troubling about "New Zeno" cases. -/- This paper is in memory of Josh Parsons.
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  19. Achilles, the Tortoise and Quantum Mechanics.Alfred Driessen - manuscript
    The four antinomies of Zeno of Elea, especially Achilles and the tortoise continue to be provoking issues which are even now not always satisfactory solved. Aristotle himself used this antinomy to develop his understanding of movement: it is a fluent continuum that has to be treated as a whole. The parts, if any, are only potentially present in the whole. And that is exactly what quantum mechanics is claiming: movement is quantized in contrast to classical mechanics. The objective of (...)
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  20. 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 (...)
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  21. logos and its footnotes.Paul Bali - manuscript
    on ontologs, or words that are the thing they name; a volitional solution to Zeno's Line and Arrow paradoxes; on Sokal as unintentional non-parody; and more.
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  22. Mathematical Platonism and the Nature of Infinity.Gilbert B. Côté - 2013 - Open Journal of Philosophy 3 (3):372-375.
    An analysis of the counter-intuitive properties of infinity as understood differently in mathematics, classical physics and quantum physics allows the consideration of various paradoxes under a new light (e.g. Zeno’s dichotomy, Torricelli’s trumpet, and the weirdness of quantum physics). It provides strong support for the reality of abstractness and mathematical Platonism, and a plausible reason why there is something rather than nothing in the concrete universe. The conclusions are far reaching for science and philosophy.
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  23. Achilles' To Do List.Zack Garrett - 2024 - Philosophies 9 (4):104.
    Much of the debate about the mathematical refutation of Zeno’s paradoxes surrounds the logical possibility of completing supertasks—tasks made up of an infinite number of subtasks. Max Black and J.F. Thomson attempt to show that supertasks entail logical contradictions, but their arguments come up short. In this paper, I take a different approach to the mathematical refutations. I argue that even if supertasks are possible, we do not have a non-question-begging reason to think that Achilles’ supertask is possible. The (...)
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  24. 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. (...)
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  25. Time and Space in Plato's Parmenides.Barbara M. Sattler - 2019 - Études Platoniciennes 15.
    In this paper I investigate central temporal and spatial notions in the second part of Plato’s Parmenides and argue that also these notions, and not only the metaphysical ones usually discussed in the literature, can be understood as a response to positions and problems put on the table by Parmenides and Zeno. Of the spatial notions examined in the dialogue, I look at the problems raised for possessing location and shape, while with respect to temporal notions, I focus on (...)
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  26. On the Possibilities of Hypercomputing Supertasks.Vincent C. Müller - 2011 - Minds and Machines 21 (1):83-96.
    This paper investigates the view that digital hypercomputing is a good reason for rejection or re-interpretation of the Church-Turing thesis. After suggestion that such re-interpretation is historically problematic and often involves attack on a straw man (the ‘maximality thesis’), it discusses proposals for digital hypercomputing with Zeno-machines , i.e. computing machines that compute an infinite number of computing steps in finite time, thus performing supertasks. It argues that effective computing with Zeno-machines falls into a dilemma: either they are (...)
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  27. Quantum leaps in philosophy of mind.David Bourget - 2004 - Journal of Consciousness Studies 11 (12):17--42.
    I discuss the quantum mechanical theory of consciousness and freewill offered by Stapp (1993, 1995, 2000, 2004). First I show that decoherence-based arguments do not work against this theory. Then discuss a number of problems with the theory: Stapp's separate accounts of consciousness and freewill are incompatible, the interpretations of QM they are tied to are questionable, the Zeno effect could not enable freewill as he suggests because weakness of will would then be ubiquitous, and the holism of measurement (...)
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  28. Letter to Aristotle.James Bardis - forthcoming - In Conference Proceedings of IICAHHawaii2017.
    …A reconstructed imaginal account of Alexander’s (the Great) historical letter to Aristotle pursuant to his (in-) famous meeting with the gymnosophist Dandimus on the paradoxes of Zeno ( presaging those of Nagarjuna ) as a means of presenting a synthesis of the stasis and dynamism implicit in the potential of a phenomenally real world beyond a rigid designation of a chain-of-being taxonomy where animal dignity resides side by side with predator-prey relations and a mind-laden ( theory ) of evolution.
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  29. Denying the existence of instants of time and the instantaneous.Peter Lynds - manuscript
    Extending on an earlier paper [Found. Phys. Ltt., 16(4) 343–355, (2003)], it is argued that instants of time and the instantaneous (including instantaneous relative position) do not actually exist. This conclusion, one which is also argued to represent the correct solution to Zeno’s motion paradoxes, has several implications for modern physics and for our philosophical view of time, including that time and space cannot be quantized; that contrary to common interpretation, motion and change are compatible with the “block” universe (...)
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  30. Consciousness and the Collapse of the Wave Function.David J. Chalmers & Kelvin J. McQueen - 2022 - In Shan Gao (ed.), Consciousness and Quantum Mechanics. Oxford University Press, Usa.
    Does consciousness collapse the quantum wave function? This idea was taken seriously by John von Neumann and Eugene Wigner but is now widely dismissed. We develop the idea by combining a mathematical theory of consciousness (integrated information theory) with an account of quantum collapse dynamics (continuous spontaneous localization). Simple versions of the theory are falsified by the quantum Zeno effect, but more complex versions remain compatible with empirical evidence. In principle, versions of the theory can be tested by experiments (...)
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  31. Dynamic all the way down.Donatella Donati & Simone Gozzano - 2023 - Ratio 37 (1):14-25.
    In this paper we provide an analysis of dynamic dispositionalism. It is usually claimed that dispositions are dynamic properties. However, there is no exhaustive analysis of dynamism in the dispositional literature. We will argue that the dynamic character of dispositions can be analyzed in terms of three features: (i) temporal extension, (ii) necessary change and (iii) future orientedness. Roughly, we will defend the idea that dynamism entails a continuous view of time, to be analyzed in mathematical terms, where intervals are (...)
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  32. The Stoic Account of Apprehension.Tamer Nawar - 2014 - Philosophers' Imprint 14:1-21.
    This paper examines the Stoic account of apprehension (κατάληψις) (a cognitive achievement similar to how we typically view knowledge). Following a seminal article by Michael Frede (1983), it is widely thought that the Stoics maintained a purely externalist causal account of apprehension wherein one may apprehend only if one stands in an appropriate causal relation to the object apprehended. An important but unanswered challenge to this view has been offered by David Sedley (2002) who offers reasons to suppose that the (...)
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  33. Stoicism and Food Ethics.William O. Stephens - 2022 - Symposion: Theoretical and Applied Inquiries in Philosophy and Social Sciences 9 (1):105-124.
    The norms of simplicity, convenience, unfussiness, and self-control guide Diogenes the Cynic, Zeno of Citium, Chrysippus, Seneca, Musonius Rufus, Epictetus, and Marcus Aurelius in approaching food. These norms generate the precept that meat and dainties are luxuries, so Stoics should eschew them. Considerations of justice, environmental harm, anthropogenic global climate change, sustainability, food security, feminism, harm to animals, personal health, and public health lead contemporary Stoics to condemn the meat industrial complex, debunk carnism, and select low input, plant-based foods.
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  34. Aristotle and the Foundation of Quantum Mechanics.Alfred Driessen - 2020 - Acta Philosophica 29 (II):395-414.
    The four antinomies of Zeno of Elea continue to be provoking issues that remain relevant for the foundation of science. Aristotle used this antinomy to arrive at a deeper understanding of movement : it is a fluent continuum that he considers to be a whole. The parts, if any, are only potentially present. Similarly, quantum mechanics states that movement is quantized ; things move or change in nonreducible steps, the so-called quanta. This view is in contrast to classical mechanics, (...)
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  35. Skepticism Is Wrong for General Reasons.Elijah Chudnoff - 2023 - International Journal for the Study of Skepticism 13 (2):95-104.
    According to Michael Bergmann’s “intuitionist particularism,” our position with respect to skeptical arguments is much the same as it was with respect to Zeno’s paradoxes of motion prior to our developing sophisticated theories of the continuum. We observed ourselves move, and that closed the case in favor of the ability to move, even if we had no general theory about that ability. We observe ourselves form justified beliefs, and that closes the case in favor of the ability to form (...)
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  36. What’s Eleatic about the Eleatic Principle?Sosseh Assaturian - 2021 - Archai: Revista de Estudos Sobre as Origens Do Pensamento Ocidental 31 (3):1-37.
    In contemporary metaphysics, the Eleatic Principle (EP) is a causal criterion for reality. Articulating the EP with precision is notoriously difficult. The criterion purportedly originates in Plato’s Sophist, when the Eleatic Visitor articulates the EP at 247d-e in the famous Battle of the Gods and the Giants. There, the Visitor proposes modifying the ontologies of both the Giants (who are materialists) and the Gods (who are friends of the many forms), using a version of the EP according to which only (...)
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  37. When Science Confronts Philosophy: Three Case Studies.Eric Dietrich - 2020 - Axiomathes 30 (5):479-500.
    This paper examines three cases of the clash between science and philosophy: Zeno’s paradoxes, the Frame Problem, and a recent attempt to experimentally refute skepticism. In all three cases, the relevant science claims to have resolved the purported problem. The sciences, construing the term broadly, are mathematics, artificial intelligence, and psychology. The goal of this paper is to show that none of the three scientific solutions work. The three philosophical problems remain as vibrant as ever in the face of (...)
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  38. Probems of Greek Philosophy.Mudasir Ahmad Tantray & Tariq Rafeeq Khan - 2021 - Bilaspur, Chhattisgarh 495001, India: Rudra Publications.
    This textbook has been written to discuss the fundamental problems of Greek Philosophy. There has been many philosophical Problems which Greek philosophers has discussed and examined with rational approach. The philosophical problems which we have mentioned in this book are: Greek Rationalism, Greek Naturalism, Greek Idealism, Greeks on human mind, Number theory and Greek Metaphysics. We have defined some significant issues like Greek atomism, Nihilism, Solipsism, Dogmatism, Sophism and Pluralism. Philosophy is the subject which studies the fundamental Problems of the (...)
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  39. The Physics of Stoic Cosmogony.Ian Hensley - 2021 - Apeiron 54 (2):161-187.
    According to the ancient Greek Stoics, the cosmos regularly transitions between periods of conflagration, during which only fire exists, and periods of cosmic order, during which the four elements exist. This paper examines the cosmogonic process by which conflagrations are extinguished and cosmic orders are restored, and it defends three main conclusions. First, I argue that not all the conflagration’s fire is extinguished during the cosmogony, against recent arguments by Ricardo Salles. Second, at least with respect to the cosmogony, it (...)
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  40. Stoicism and Food.William O. Stephens - 2018 - Encyclopedia of Food and Agricultural Ethics.
    The ancient Stoics believed that virtue is the only true good and as such both necessary and sufficient for happiness. Accordingly, they classified food as among the things that are neither good nor bad but "indifferent." These "indifferents" included health, illness, wealth, poverty, good and bad reputation, life, death, pleasure, and pain. How one deals with having or lacking these things reflects one’s virtue or vice and thus determines one’s happiness or misery. So, while the Stoics held that food in (...)
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  41. Indivisible Parts and Extended Objects.Dean W. Zimmerman - 1996 - The Monist 79 (1):148-180.
    Physical boundaries and the earliest topologists. Topology has a relatively short history; but its 19th century roots are embedded in philosophical problems about the nature of extended substances and their boundaries which go back to Zeno and Aristotle. Although it seems that there have always been philosophers interested in these matters, questions about the boundaries of three-dimensional objects were closest to center stage during the later medieval and modern periods. Are the boundaries of an object actually existing, less-than-three-dimensional parts (...)
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  42.  58
    Leibniz v zajetí dialogů.Kateřina Lochmanová - 2023 - Filosoficky Casopis 71 (1):135-148.
    In the annotated Czech translation of Leibniz’s dialogue Pacidius Philalethi, which was published in 2019, but also in an earlier essay by the same translator on Leibniz’s dialogic way of writing as well as in other interpretations, there is little discussion of the practical implications of his dialogic method. Leibniz’s dialogical argumentation strategy, as he later applied it in his correspondence with Samuel Clarke, is therefore either completely neglected or is referred to as being typical of the time, or alternatively (...)
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  43. Hume’s Answer to Bayle on the Vacuum.Jonathan Cottrell - 2019 - Archiv für Geschichte der Philosophie 101 (2):205-236.
    Hume’s discussion of space in the Treatise addresses two main topics: divisibility and vacuum. It is widely recognized that his discussion of divisibility contains an answer to Bayle, whose Dictionary article “Zeno of Elea” presents arguments about divisibility as support for fideism. It is not so widely recognized that, elsewhere in the same article, Bayle presents arguments about vacuum as further support for fideism. This paper aims to show that Hume’s discussion of vacuum contains an answer to these vacuum-based (...)
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  44. 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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  45. Boundaries: An essay in mereotopology.Barry Smith - 1997 - In Lewis H. Hahn (ed.), Philosophy of Roderick Chisholm (Library of Living Philosophers). Open Court. pp. 534--561.
    Of Chisholm’s many signal contributions to analytic metaphysics, perhaps the most important is his treatment of boundaries, a category of entity that has been neglected, to say the least, in the history of ontology. We can gain some preliminary idea of the sorts of problems which the Chisholmian ontology of boundaries is designed to solve, if we consider the following Zeno-inspired thought-experiment.
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  46. The form of the Benardete dichotomy.Nicholas Shackel - 2005 - British Journal for the Philosophy of Science 56 (2):397-417.
    Benardete presents a version of Zeno's dichotomy in which an infinite sequence of gods each intends to raise a barrier iff a traveller reaches the position where they intend to raise their barrier. In this paper, I demonstrate the abstract form of the Benardete Dichotomy. I show that the diagnosis based on that form can do philosophical work not done by earlier papers rejecting Priest's version of the Benardete Dichotomy, and that the diagnosis extends to a paradox not normally (...)
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  47. 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; (...)
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  48. Force, Motion, and Leibniz’s Argument from Successiveness.Peter Myrdal - 2021 - Archiv für Geschichte der Philosophie 103 (4):704-729.
    This essay proposes a new interpretation of a central, and yet overlooked, argument Leibniz offers against Descartes’s power-free ontology of the corporeal world. Appealing to considerations about the successiveness of motion, Leibniz attempts to show that the reality of motion requires force. It is often assumed that the argument is driven by concerns inspired by Zeno. Against such a reading, this essay contends that Leibniz’s argument is instead best understood against the background of an Aristotelian view of the priority (...)
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  49. Wrestling with the Eleatics in Plato's Parmenides.Heather Reid & Lidia Palumbo - 2020 - In Heather Reid, Mark Ralkowski & Coleen P. Zoller (eds.), Athletics, Gymnastics, and Agon in Plato. Sioux City, IA, USA: Parnassos Press. pp. 185-198.
    This paper interprets the Parmenides agonistically as a constructive contest between Plato’s Socrates and the Eleatics of Western Greece. Not only is the dialogue set in the agonistic context of the Panathenaic Games, it features agonistic language, employs an agonistic method, and may even present an agonistic model for participation in the forms. The inspiration for this agonistic motif may be that Parmenides and his student Zeno represent Western Greece, which was a key rival for the mainland at the (...)
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  50. The Stoics and the State: Theory – Practice – Context.Jula Wildberger - 2018 - Baden-Baden, Deutschland: Nomos.
    How did the Stoics conceive of a polis and statehood? What happens when these ideas meet different biographies and changing historical environments? To answer these questions, 'The Stoics and the State' combines close philological reading of original source texts and fine-grained conceptual analysis with wide-ranging contextualisation, which is both thematic and diachronic. A systematic account elucidates extant definitions, aspects of statehood (territory, institutions, population and state objectives) and the constitutive function of the common law. The book’s diachronic part investigates how (...)
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