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  1. Achilles on a Physical Racecourse.J. O. Wisdom - 1951 - In Wesley C. Salmon (ed.), Analysis. Bobbs-Merrill. pp. 82-88.
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  • The Natural Philosophy of Time, by G. J. Whitrow. [REVIEW]J. J. C. Smart - 1961 - Philosophical Review 72 (3):405-407.
  • The Concept of Nature: Tarner Lectures.Alfred North Whitehead - 1920 - Prometheus Books.
    The contents of this book were originally delivered at Trinity College in the autumn of 1919 as the inaugural course of Tarner lectures.
  • Process and Reality.Arthur E. Murphy - 1931 - Humana Mente 6 (21):102-106.
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  • Zeno's Paradoxes and the Tile Argument.Jean Paul van Bendegem - 1987 - Philosophy of Science 54 (2):295-302.
    A solution of the zeno paradoxes in terms of a discrete space is usually rejected on the basis of an argument formulated by hermann weyl, The so-Called tile argument. This note shows that, Given a set of reasonable assumptions for a discrete geometry, The weyl argument does not apply. The crucial step is to stress the importance of the nonzero width of a line. The pythagorean theorem is shown to hold for arbitrary right triangles.
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  • The Principles of Mathematics. [REVIEW]E. N. - 1938 - Journal of Philosophy 35 (7):191-192.
  • Modern Science and Zeno's Paradoxes. Adolf Grünbaum. [REVIEW]Peter Caws - 1969 - Philosophy of Science 36 (1):106-107.
  • The Structure of Time.W. Newton-Smith - 1980 - Routledge & Kegan Paul.
  • Thomson's Lamp is Dysfunctional.William I. McLaughlin - 1998 - Synthese 116 (3):281-301.
    James Thomson envisaged a lamp which would be turned on for 1 minute, off for 1/2 minute, on for 1/4 minute, etc. ad infinitum. He asked whether the lamp would be on or off at the end of 2 minutes. Use of “internal set theory” (a version of nonstandard analysis), developed by Edward Nelson, shows Thomson's lamp is chimerical; its copy within set theory yields a contradiction. The demonstration extends to placing restrictions on other “infinite tasks” such as Zeno's paradoxes (...)
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  • An Epistemological Use of Nonstandard Analysis to Answer Zeno's Objections Against Motion.William I. McLaughlin & Sylvia L. Miller - 1992 - Synthese 92 (3):371 - 384.
    Three of Zeno's objections to motion are answered by utilizing a version of nonstandard analysis, internal set theory, interpreted within an empirical context. Two of the objections are without force because they rely upon infinite sets, which always contain nonstandard real numbers. These numbers are devoid of numerical meaning, and thus one cannot render the judgment that an object is, in fact, located at a point in spacetime for which they would serve as coordinates. The third objection, an arrow never (...)
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  • A Look at the Staccato Run.Jon Pérez Laraudogoitia - 2006 - Synthese 148 (2):433-441.
    This paper considers a recent criticism of the physical possibility of super-tasks which involves Achilles's staccato run. It is held that the criticism fails and that the underlying fallacy can be linked with interesting developments in the modern literature on physical supertasks.
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  • Can an Infinitude of Operations Be Performed in a Finite Time?Adolf Grünbaum - 1969 - British Journal for the Philosophy of Science 20 (3):203-218.
  • Is Space-Time Discrete or Continuous? — An Empirical Question.Peter Forrest - 1995 - Synthese 103 (3):327--354.
    In this paper I present the Discrete Space-Time Thesis, in a way which enables me to defend it against various well-known objections, and which extends to the discrete versions of Special and General Relativity with only minor difficulties. The point of this presentation is not to convince readers that space-time really is discrete but rather to convince them that we do not yet know whether or not it is. Having argued that it is an open question whether or not space-time (...)
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  • On the Possibility of Completing an Infinite Process.Charles S. Chihara - 1965 - Philosophical Review 74 (1):74-87.
  • The Impossibility of Superfeats.Michael B. Burke - 2000 - Southern Journal of Philosophy 38 (2):207-220.
    Is it logically possible to perform a "superfeat"? That is, is it logically possible to complete, in a finite time, an infinite sequence of distinct acts? In opposition to the received view, I argue that all physical superfeats have kinematic features that make them logically impossible.
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  • Achilles and the Tortoise.Max Black - 1950 - In Wesley C. Salmon (ed.), Analysis. Bobbs-Merrill. pp. 67-81.
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  • Tasks, Super-Tasks, and the Modern Eleatics.Paul Benacerraf - 1962 - Journal of Philosophy 59 (24):765-784.
  • Newtonian Supertasks: A Critical Analysis.Joseph S. Alper & Mark Bridger - 1998 - Synthese 114 (2):355-369.
    In two recent papers Perez Laraudogoitia has described a variety of supertasks involving elastic collisions in Newtonian systems containing a denumerably infinite set of particles. He maintains that these various supertasks give examples of systems in which energy is not conserved, particles at rest begin to move spontaneously, particles disappear from a system, and particles are created ex nihilo. An analysis of these supertasks suggests that they involve systems that do not satisfy the mathematical conditions required of Newtonian systems at (...)
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  • Mathematics, Models and Zeno's Paradoxes.Joseph S. Alper & Mark Bridger - 1997 - Synthese 110 (1):143-166.
    A version of nonstandard analysis, Internal Set Theory, has been used to provide a resolution of Zeno's paradoxes of motion. This resolution is inadequate because the application of Internal Set Theory to the paradoxes requires a model of the world that is not in accordance with either experience or intuition. A model of standard mathematics in which the ordinary real numbers are defined in terms of rational intervals does provide a formalism for understanding the paradoxes. This model suggests that in (...)
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  • Space, Time, and Motion: A Philosophical Introduction.Wesley C. Salmon - 1980 - University of Minnesota Press.
  • Philosophical Foundations of Physics;.Rudolf Carnap - 1966 - New York: Basic Books.
  • In Defence of Discrete Space and Time.Jean Paul van Bendegem - 1995 - Logique Et Analyse 38 (150-1):127-150.
    In this paper several arguments are discussed and evaluated concerning the possibility of discrete space and time.
     
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  • Comments on Professor Benacerraf's Paper.James Thomson - 1970 - In Wesley C. Salmon (ed.), Zeno’s Paradoxes. Bobbs-Merrill. pp. 130--138.
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