35 found
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  1. A Beautiful Supertask.Jon Perez Laraudogoitia - 1996 - Mind 105 (417):81-83.
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  2.  44
    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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  3.  36
    Supertasks.Jon Pérez Laraudogoitia - 2008 - Stanford Encyclopedia of Philosophy.
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  4.  46
    A Variant of Benardete's Paradox.Jon pérez Laraudogoitia - 2003 - Analysis 63 (278):124–131.
  5.  28
    On Norton's Dome.Jon Pérez Laraudogoitia - 2013 - Synthese 190 (14):2925-2941.
    Norton’s very simple case of indeterminism in classical mechanics has given rise to a literature critical of his result. I am interested here in posing a new objection different from the ones made to date. The first section of the paper expounds the essence of Norton’s model and my criticism of it. I then propose a specific modification in the absence of gravitational interaction. The final section takes into consideration a surprising consequence for classical mechanics from the new model introduced (...)
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  6.  73
    Action Without Interaction.Jon Perez Laraudogoitia - 2005 - Analysis 65 (286):140-143.
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  7. Some Relativistic and Higher Order Supertasks.Jon Perez Laraudogoitia - 1998 - Philosophy of Science 65 (3):502-517.
    The first aim of this paper is to introduce a new way of looking at supertasks in the light of special relativity which makes use of the elementary dynamics of relativistic point particles subjected to elastic binary collisions and constrained to move unidimensionally. In addition, this will enable us to draw new physical consequences from the possibility of supertasks whose ordinal type is higher than the usual ω or ω * considered so far in the literature. Thus, the paper shows (...)
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  8.  42
    Classical Particle Dynamics, Indeterminism and a Supertask.Jon Pérez Laraudogoitia - 1997 - British Journal for the Philosophy of Science 48 (1):49-54.
    In this paper a model in particle dynamics of a well-known supertask is constructed. As a consequence, a new and simple result about the failure of determinism of classical particle dynamics can be proved which is related to the non-existence of boundary conditions at spatial infinity. This result is much more accessible to the non-technical reader than similar ones in the scientific literature.
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  9.  57
    Erik-Jon Gaizka, the Magician of Infinity.Jon Pérez Laraudogoitia - 2010 - Analysis 70 (3):451 - 456.
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  10. This Article Should Not Be Rejected by Mind.Jon Perez Laraudogoitia - 1990 - Mind 99 (396):599-600.
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  11.  61
    Infinity Machines and Creation Ex Nihilo.Jon Perez Laraudogoitia - 1998 - Synthese 115 (2):259-265.
    In this paper a simple model in particle dynamics of a well-known supertask is constructed (the supertask was introduced by Max Black some years ago). As a consequence, a new and simple result about creation ex nihilo of particles can be proved compatible with classical dynamics. This result cannot be avoided by imposing boundary conditions at spatial infinity, and therefore is really new in the literature. It follows that there is no reason why even a world of rigid spheres should (...)
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  12.  89
    Priest on the Paradox of the Gods.Jon Pérez Laraudogoitia - 2000 - Analysis 60 (266):152–155.
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  13.  19
    A Simple and Interesting Classical Mechanical Supertask.Jon Pérez Laraudogoitia - forthcoming - Synthese:1-26.
    This paper presents three interesting consequences that follow from admitting an ontology of rigid bodies in classical mechanics. First, it shows that some of the most characteristic properties of supertasks based on binary collisions between particles, such as the possibility of indeterminism or the non-conservation of energy, persist in the presence of gravitational interaction. This makes them gravitational supertasks radically different from those that have appeared in the literature to date. Second, Sect. 6 proves that the role of gravitation in (...)
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  14.  9
    Just as Beautiful but Not (Necessarily) a Supertask.Jon Pérez Laraudogoitia - 2002 - Mind 111 (442):281-288.
    In this paper I will put forward a simple case of a dynamical system which can exhibit both the indeterminism linked to escape to infinity and that linked to self-excitation. The case depends neither on the gravitational interaction between particles nor on their mutual collisions, and thus reveals the existence of a new kind of constraint that Newton's laws lay on the predictive power of classical dynamics.
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  15.  50
    The Supertask Argument Against Countable Additivity.Jon Pérez Laraudogoitia - 2014 - Philosophical Studies 168 (3):619-628.
    This paper proves that certain supertasks constitute counterexamples to countable additivity even in the frame of an objective (not subjective, à la de Finetti) conception of probability. The argument requires taking conditional probability as a primitive notion.
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  16.  23
    On the Dynamics of Alper and Bridger.Jon Pérez Laraudogoitia - 2002 - Synthese 131 (2):157 - 171.
    Bridger and Alper (1999) maintain that the nonphysical featuresof the supertasks described by Pérez Laraudogoitia (1996) involving a system containing an infinite number of particles may be avoided by introducing, in a specific way, Hilbert space in classical dynamics. I argue that it is possible to interpret their proposal in two ways, neither of which is acceptable for the purpose for which it was introduced.
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  17.  31
    A Flawed Argument Against Actual Infinity in Physics.Jon Perez Laraudogoitia - 2010 - Foundations of Physics 40 (12):1902-1910.
    In “Nonconservation of Energy and loss of Determinism II. Colliding with an Open Set” (2010) Atkinson and Johnson argue in favour of the idea that an actual infinity should be excluded from physics, at least in the sense that physical systems involving an actual infinity of component elements should not be admitted. In this paper I show that the argument Atkinson and Johnson use is erroneous and that an analysis of the situation considered by them is possible without requiring any (...)
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  18.  38
    Zeno and Flow of Information.Jon Pérez Laraudogoitia - 2013 - Synthese 190 (3):439-447.
    Although the current literature on supertasks concentrates largely on their supposed physical implications (extending the tradition of Zeno’s classical paradoxes of movement), in this study I propose a new model of supertask that explores for the first time some of their information-related consequences and I defend these consequences from a possible criticism.
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  19.  21
    What the Tortoise Said to Achilles.Jon Pérez Laraudogoitia - 2014 - Philosophia 42 (2):405-411.
    Continuing the conversation between Achilles and the tortoise begun by Carroll, this paper proves that, in a supertask context, there are free actions (in general, contingent states of affairs) that can be predicted by means of purely logical reasons.
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  20.  32
    Why Dynamical Self-Excitation is Possible.Jon Pérez Laraudogoitia - 1999 - Synthese 119 (3):313-323.
    In Pérez Laraudogoitia (1996), I introduced a simple example of a supertask that involved the possibility of spontaneous self-excitation and, therefore, of a particularly interesting form of indeterminism in classical dynamics. Alper and Bridger (1998) criticised (among other things) this result. In the present article, I answer their criticisms. In what follows I assume familiarity both with Pérez Laraudogoitia (1996) and Alper and Bridger’s subsequent article.
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  21.  7
    Essays on the History of Mechchanics: In Memory of Clifford Ambrose Truesdell and Edoardo Benvenuto.Jon Pérez Laraudogoitia - 2004 - Theoria 19 (2):233-234.
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  22.  16
    Dispositions and the Trojan Fly.Jon Pérez Laraudogoitia - 2014 - Noûs 48 (4):773-780.
    A detailed consideration of the Trojan fly supertask reveals certain unsuspected characteristics relating to determinism and causation. I propose here a solution to the new difficulty in terms of bare dispositions.
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  23.  18
    A Doxastic Paradox.Jon Perez Laraudogoitia - 1990 - Analysis 50 (1):47 - 48.
  24.  28
    Global Interaction in Classical Mechanics.Jon Pérez Laraudogoitia - 2006 - International Studies in the Philosophy of Science 20 (2):173 – 183.
    In this paper, an example is presented for a dynamic system analysable in the framework of the mechanics of rigid bodies. Interest in the model lies in three fundamental features. First, it leads to a paradox in classical mechanics which does not seem to be explainable with the conceptual resources currently available. Second, it is possible to find a solution to it by extending in a natural way the idea of global interaction in the context of what is called interaction (...)
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  25.  15
    No Train Paradox.Jon Pérez Laraudogoitia - 2013 - Philosophia 41 (1):217-220.
    In “The Train Paradox”(Philosophia (2006) 34: 437–438) Gwiazda proposes the use of the relativity of simultaneity to formulate a new paradox. My purpose here is to show that there is no Train Paradox in Gwiazda’s sense.
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  26.  22
    On a (Supposedly) Plausible Extension of Newtonian Collision Dynamics.Jon Pérez Laraudogoitia - 2004 - British Journal for the Philosophy of Science 55 (2):365-370.
    In a recent volume of this journal, L. Angel ([2002]) proposed a collision mechanics leading to such strange results as the possibility that a particle may be in several places at the same time, or the existence of unprepared spatially-separated correlations. I will here show that neither of these results follows from his theory or, if it does, the theory, contrary to what Angel claims, is not a plausible extension of Newtonian collision dynamics. No bilocation No quantum leap No unprepared (...)
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  27.  3
    On The Dynamics Of Alper And Bridger.Jon Pérez Laraudogoitia - 2002 - Synthese 131 (2):157-171.
    Bridger and Alper maintain that the nonphysical features of the supertasks described by Pérez Laraudogoitia involving a system containing an infinite number of particles may be by introducing, in a specific way, Hilbert space in classical dynamics. I argue that it is possible to interpret their proposal in two ways, neither of which is acceptable for the purpose for which it was introduced.
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  28.  17
    Taking Self-Excitations Seriously: On Angel's Initial Condition.Jon Pérez Laraudogoitia - 2003 - British Journal for the Philosophy of Science 54 (2):319-326.
    In a recent article, L. Angel ([2001]) argues that if we do not implement Newtonian physics adding to it a certain usual type of boundary condition, then this leads to the rejection of what he calls the P principle: ‘the composition of contact interactions does not create a noncontact interaction.’ Here I shall demonstrate that this conclusion does not follow. However, as will be made clear, this in no way diminishes the interest or importance of the model introduced by Angel (...)
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  29.  13
    Indeterminism, Classical Gravitation and Non-Collision Singularities.Jon Pérez Laraudogoitia - 2001 - International Studies in the Philosophy of Science 15 (3):269 – 274.
    Until the present, the Newtonian theory of gravitation has only been studied in any detail through the usual, presupposed ontology of point particles. This paper shows that changing our ontology into one which makes use of continuous bodies (non-point particles) allows us to obtain in a simple way two important results relevant to the theory: (a) The Newtonian theory of gravitation is indeterministic in a way apparently unparalleled when non-point particle models of it are used. (b) In the Newtonian theory (...)
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  30.  6
    The New String Paradox.Jon Pérez Laraudogoitia - 2013 - Philosophy of Science 80 (1):143-154.
  31. New Difficulties with 'If... Then': The Paradox of the Businessman.Jon Pérez Laraudogoitia - 1996 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 11 (26):85-89.
     
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  32.  3
    Earman and Norton on Supertasks That Generate Indeterminism.Jon Pérez Laraudogoitia - 1999 - British Journal for the Philosophy of Science 50 (1):137 - 141.
    In a recent discussion, Earman and Norton [(1998)] propose a classification of supertasks that generate indeterminism which is flawed. An emendation is presented here.
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  33.  2
    On the Atkinson–Johnson Homogeneous Solution for Infinite Systems.Jon Pérez Laraudogoitia - 2015 - Foundations of Physics 45 (5):496-506.
    This paper shows that the general homogeneous solution to equations of evolution for some infinite systems of particles subject to mutual binary collisions does not depend on a single arbitrary constant but on a potentially infinite number of such constants. This is because, as I demonstrate, a single self-excitation of a system of particles can depend on a potentially infinite number of parameters. The recent homogeneous solution obtained by Atkinson and Johnson, which depends on a single arbitrary constant, is only (...)
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  34. On Paradoxes in Naive Set Theory.Jon Perez Laraudogoitia - 1989 - Logique Et Analyse 32 (128):241-245.
     
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  35. Rigidity, Instability and Dimensionality.Jon Pérez Laraudogoitia - forthcoming - Synthese:1-16.
    The paper takes a detailed look at a surprising new aspect of the dynamics of rigid bodies. Far from the usual consideration of rigid body theory as a merely technical chapter of classical physics, I demonstrate here that there are solutions to the conservation equations of mechanics that imply the spontaneous, unpredictable splitting of a rigid body in free rotation, something that has direct implications for the problem of causality. The paper also shows that the instability revealed in indeterminist splitting (...)
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