Results for 'Zeno Paradox'

965 found
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  1. (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 (...)
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  2. (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 (...)
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  3. 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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  4. 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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  5. 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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  6. 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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  7. 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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  8. (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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  9. 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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  10. 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 (...)
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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 (...)
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  12.  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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  13.  64
    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 (...)
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  14. 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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  15. 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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  16. 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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  17. 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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  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. 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 (...)
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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 (...)
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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. 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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  23. 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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  24.  94
    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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  25. 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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  26. 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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  27. 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 (...)
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  28.  71
    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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  29. Purism: The Inconceivability of Inconsistency within Space as the Basis of Logic.* Primus - 2019 - Dialogue 62 (1):1-24.
    I propose that an irreducible property of physical space — consistency — is the origin of logic. I propose that an inconsistent space is inconceivable and that this inconceivability can be recognized as the force behind logical propositions. The implications of this argument are briefly explored and then applied to address two paradoxes: Zeno of Elea’s paradox regarding the race between Achilles and the Tortoise, and Lewis Carroll’s paradox regarding the Tortoise’s conversation with Achilles after the race. (...)
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  30. 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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  31. Introduction to G.E. Moore's Unpublished Review of The Principles of Mathematics.Kevin C. Klement - 2019 - Russell: The Journal of Bertrand Russell Studies 38:131-164.
    Several interesting themes emerge from G. E. Moore’s previously unpub­lished review of _The Principles of Mathematics_. These include a worry concerning whether mathematical notions are identical to purely logical ones, even if coextensive logical ones exist. Another involves a conception of infinity based on endless series neglected in the Principles but arguably involved in Zeno’s paradox of Achilles and the Tortoise. Moore also questions the scope of Russell’s notion of material implication, and other aspects of Russell’s claim that (...)
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  32. How to think like a Philosopher: Scholars, Dreamers and Sages Who Can Teach Us How to Live.Peter Cave - 2023 - London: Bloomsbury Academic.
    ‘...if you learn to think like Peter Cave – with freshness, humour, objectivity and penetration – you will have been amply rewarded.’ :::: Prof. Felipe Fernandez-Armesto, University of Notre Dame __________________ Chapter Titles:>>> ___ 1 Lao Tzu: The Way to Tao >>> 2 Sappho: Lover >>> 3 Zeno of Elea: Tortoise Backer, Parmenidean Helper >>> 4 Gadfly: aka ‘Socrates’ >>> 5 Plato: Charioteer, Magnificent Footnote Inspirer – ‘Nobody Does It Better’ >>> 6 Aristotle: Earth-Bound, Walking >>> 7 Epicurus: Gardener, (...)
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  33. Jonathan Barnes et al.: Eleatica 2008: Zenone e l’infinito. [REVIEW]Gregor Damschen & Rafael Ferber - 2014 - Gnomon 86 (1):71-73.
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  34. The Actual Infinite as a Day or the Games.Pascal Massie - 2007 - Review of Metaphysics 60 (3):573-596.
    It is commonly assumed that Aristotle denies any real existence to infinity. Nothing is actually infinite. If, in order to resolve Zeno’s paradoxes, Aristotle must talk of infinity, it is only in the sense of a potentiality that can never be actualized. Aristotle’s solution has been both praised for its subtlety and blamed for entailing a limitation of mathematic. His understanding of the infinite as simply indefinite (the “bad infinite” that fails to reach its accomplishment), his conception of the (...)
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  35. Infinite Leap: the Case Against Infinity.Jonathan Livingstone - manuscript
    Infinity exists as a concept but has no existence in actuality. For infinity to have existence in actuality either time or space have to already be infinite. Unless something is already infinite, the only way to become infinite is by an 'infinity leap' in an infinitely small moment, and this is not possible. Neither does infinitely small have an existence since anything larger than zero is not infinitely small. Therefore infinity has no existence in actuality.
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  36. Retrieving the Mathematical Mission of the Continuum Concept from the Transfinitely Reductionist Debris of Cantor’s Paradise. Extended Abstract.Edward G. Belaga - forthcoming - International Journal of Pure and Applied Mathematics.
    What is so special and mysterious about the Continuum, this ancient, always topical, and alongside the concept of integers, most intuitively transparent and omnipresent conceptual and formal medium for mathematical constructions and the battle field of mathematical inquiries ? And why it resists the century long siege by best mathematical minds of all times committed to penetrate once and for all its set-theoretical enigma ? -/- The double-edged purpose of the present study is to save from the transfinite deadlock of (...)
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  37. A Critical Review of McTaggart's "The Unreality of Time".Rajiv Pande - manuscript
    The intention of this critical review of McTaggart’s 1908 paper is to bring about a distinction between Time and Motion . This distinction is crucial to our understanding of both time as well as motion because so far they have ben treated by all as one and the same. McTaggart, by at least recognizing two different “series” which he calls the A-series and the B-series, has given us a starting point to further understand this distinction. In the process of establishing (...)
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  38. Aristotle on the Unity of Change.John Bowin - 2010 - Ancient Philosophy 30 (2):319-345.
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  39. Lessons from Infinite Clowns.Daniel Nolan - forthcoming - In Karen Bennett & Dean Zimmerman (eds.), Oxford Studies in Metaphysics Vol. 14. Oxford: Oxford University Press.
    This paper responds to commentaries by Kaiserman and Magidor, and Hawthorne. The case of the infinite clowns can teach us several things.
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  40. Differential Calculus Based on the Double Contradiction.Kazuhiko Kotani - 2016 - Open Journal of Philosophy 6 (4):420-427.
    The derivative is a basic concept of differential calculus. However, if we calculate the derivative as change in distance over change in time, the result at any instant is 0/0, which seems meaningless. Hence, Newton and Leibniz used the limit to determine the derivative. Their method is valid in practice, but it is not easy to intuitively accept. Thus, this article describes the novel method of differential calculus based on the double contradiction, which is easier to accept intuitively. Next, the (...)
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  41. La matematica moderna e Zenone.Alessio Gava - 1999 - Esercizi Filosofici 4:127-138.
    Aspetti filosofico-matematici dei celebri paradossi di Zenone di Elea.
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  42. The Staccato Run: A Contemporary Issue in the Zenonian Tradition.Michael B. Burke - 2000 - Modern Schoolman 78 (1):1-8.
    The “staccato run,” in which a runner stops infinitely often while running from one point to another, is a prototypical “superfeat,” that is, a feat involving the completion in a finite time of an infinite sequence of distinct acts. There is no widely accepted demonstration that superfeats are impossible logically, but I argue here, contra Grunbaüm, that they are impossible dynamically. Specifically, I show that the staccato run is excluded by Newton’s three laws of motion, when those laws are supplemented (...)
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  43. Are the Barriers that Inhibit Mathematical Models of a Cyclic Universe, which Admits Broken Symmetries, Dark Energy, and an Expanding Multiverse, Illusory?Bhupinder Singh Anand - manuscript
    We argue the thesis that if (1) a physical process is mathematically representable by a Cauchy sequence; and (2) we accept that there can be no infinite processes, i.e., nothing corresponding to infinite sequences, in natural phenomena; then (a) in the absence of an extraneous, evidence-based, proof of `closure' which determines the behaviour of the physical process in the limit as corresponding to a `Cauchy' limit; (b) the physical process must tend to a discontinuity (singularity) which has not been reflected (...)
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  44. Epistemics of Divine Reality: An Argument for Rational Fideism.Domenic Marbaniang - 2007 - Dissertation, Acts Academy of Higher Education
    Epistemic approaches towards understanding ultimate reality proceed chiefly via the rational, the empirical, and the fideistic way, each yielding a theological view consistent to the approach chosen. Rational theologies tend to be ultimately monist in nature, while empirical theologies are pluralistic, e.g. polytheism. Fideism has its dangers as well where blind faith only hampers scientific research. However, Indian philosophy has suggested few criteria for verifying a source of authoritative testimony. This dissertation investigates why an authentic revelation would solve the ultimate (...)
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  45. Arguing about Infinity: The meaning (and use) of infinity and zero.Paul Mayer - manuscript
    This work deals with problems involving infinities and infinitesimals. It explores the ideas behind zero, its relationship to ontological nothingness, finititude (such as finite numbers and quantities), and the infinite. The idea of infinity and zero are closely related, despite what many perceive as an intuitive inverse relationship. The symbol 0 generally refers to nothingness, whereas the symbol infinity refers to ``so much'' that it cannot be quantified or captured. The notion of finititude rests somewhere between complete nothingness and something (...)
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  46. 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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  47. 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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  48. Pain, paradox and polysemy.Michelle Liu - 2021 - Analysis 81 (3):461-470.
    The paradox of pain refers to the idea that the folk concept of pain is paradoxical, treating pains as simultaneously mental states and bodily states. By taking a close look at our pain terms, this paper argues that there is no paradox of pain. The air of paradox dissolves once we recognize that pain terms are polysemous and that there are two separate but related concepts of pain rather than one.
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  49. 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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  50. Benardete paradoxes, patchwork principles, and the infinite past.Joseph C. Schmid - 2024 - Synthese 203 (2):51.
    Benardete paradoxes involve a beginningless set each member of which satisfies some predicate just in case no earlier member satisfies it. Such paradoxes have been wielded on behalf of arguments for the impossibility of an infinite past. These arguments often deploy patchwork principles in support of their key linking premise. Here I argue that patchwork principles fail to justify this key premise.
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