Results for 'Supertask'

90 found
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  1. Supertasks and Arithmetical Truth.Jared Warren & Daniel Waxman - 2020 - Philosophical Studies 177 (5):1275-1282.
    This paper discusses the relevance of supertask computation for the determinacy of arithmetic. Recent work in the philosophy of physics has made plausible the possibility of supertask computers, capable of running through infinitely many individual computations in a finite time. A natural thought is that, if supertask computers are possible, this implies that arithmetical truth is determinate. In this paper we argue, via a careful analysis of putative arguments from supertask computations to determinacy, that this natural (...)
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  2. 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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  3.  77
    On the Possibility of Supertasks in General Relativity.John Byron Manchak - 2010 - Foundations of Physics 40 (3):276-288.
    Malament-Hogarth spacetimes are the sort of models within general relativity that seem to allow for the possibility of supertasks. There are various ways in which these spacetimes might be considered physically problematic. Here, we examine these criticisms and investigate the prospect of escaping them.
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  4. Tasks and Supertasks.James Thomson - 1954 - Analysis 15 (1):1--13.
  5.  95
    A Quantum Mechanical Supertask.John D. Norton - 1999 - Foundations of Physics 29 (8):1265-1302.
    That quantum mechanical measurement processes are indeterministic is widely known. The time evolution governed by the differential Schrödinger equation can also be indeterministic under the extreme conditions of a quantum supertask, the quantum analogue of a classical supertask. Determinism can be restored by requiring normalizability of the supertask state vector, but it must be imposed as an additional constraint on the differential Schrödinger equation.
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  6. Supertasks and Material Objects.Peter Forrest - 1999 - Logique Et Analyse 166 (167):441-446.
     
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  7. The Collapse of Supertasks.Gustavo E. Romero - 2014 - Foundations of Science 19 (2):209-216.
    A supertask consists in the performance of an infinite number of actions in a finite time. I show that any attempt to carry out a supertask will produce a divergence of the curvature of spacetime, resulting in the formation of a black hole. I maintain that supertaks, contrarily to a popular view among philosophers, are physically impossible. Supertasks, literally, collapse under their own weight.
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  8. Forever is a Day: Supertasks in Pitowsky and Malament-Hogarth Spacetimes.John Earman & John D. Norton - 1993 - Philosophy of Science 60 (1):22-42.
    The standard theory of computation excludes computations whose completion requires an infinite number of steps. Malament-Hogarth spacetimes admit observers whose pasts contain entire future-directed, timelike half-curves of infinite proper length. We investigate the physical properties of these spacetimes and ask whether they and other spacetimes allow the observer to know the outcome of a computation with infinitely many steps.
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  9.  93
    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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  10.  56
    Supertasks.Jon Pérez Laraudogoitia - 2008 - Stanford Encyclopedia of Philosophy.
  11.  19
    Supertasks, Dynamical Attractors and Indeterminism.Jon Pérez Laraudogoitia - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (4):724-731.
  12.  51
    Quantum Measurements and Supertasks.Alisa Bokulich - 2003 - International Studies in the Philosophy of Science 17 (2):127 – 136.
    This article addresses the question whether supertasks are possible within the context of non-relativistic quantum mechanics. The supertask under consideration consists of performing an infinite number of quantum mechanical measurements in a finite amount of time. Recent arguments in the physics literature claim to show that continuous measurements, understood as N discrete measurements in the limit where N goes to infinity, are impossible. I show that there are certain kinds of measurements in quantum mechanics for which these arguments break (...)
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  13. A Paradox for Supertask Decision Makers.Andrew Bacon - 2011 - Philosophical Studies 153 (2):307.
    I consider two puzzles in which an agent undergoes a sequence of decision problems. In both cases it is possible to respond rationally to any given problem yet it is impossible to respond rationally to every problem in the sequence, even though the choices are independent. In particular, although it might be a requirement of rationality that one must respond in a certain way at each point in the sequence, it seems it cannot be a requirement to respond as such (...)
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  14. What is a Newtonian System? The Failure of Energy Conservation and Determinism in Supertasks.J. S. Alper, M. Bridger, J. Earman & J. D. Norton - 2000 - Synthese 124 (2):281-293.
    Supertasks recently discussed in the literature purport to display a failure ofenergy conservation and determinism in Newtonian mechanics. We debatewhether these supertasks are admissible as Newtonian systems, with Earmanand Norton defending the affirmative and Alper and Bridger the negative.
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  15.  3
    Supertasks, Dynamical Attractors and Indeterminism.Jon Pérez Laraudogoitia - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (4):724-731.
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  16. 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 specified such (...)
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  17.  75
    Discussion. Comments on Laraudogoitia's 'Classical Particle Dynamics, Indeterminism and a Supertask'.J. Earman - 1998 - British Journal for the Philosophy of Science 49 (1):123-133.
    We discuss two supertasks invented recently by Laraudogoitia [1996, 1997], Both involve an infinite number of particle collisions within a finite amount of time and both compromise determinism. We point out that the sources of the indeterminism are rather different in the two cases - one involves unbounded particle velocities, the other involves particles with no lower bound to their sizes - and consequently that the implications for determinism are rather different - one form of indeterminism affects Newtonian but not (...)
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  18. A Beautiful Supertask.Jon Perez Laraudogoitia - 1996 - Mind 105 (417):81-83.
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  19. Assaying Supertasks.Teun Koetsier & Victor Allis - 1997 - Logique Et Analyse 159:291-313.
     
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  20.  38
    Post's Problem for Supertasks has Both Positive and Negative Solutions.Joel David Hamkins & Andrew Lewis - 2002 - Archive for Mathematical Logic 41 (6):507-523.
    The infinite time Turing machine analogue of Post's problem, the question whether there are semi-decidable supertask degrees between 0 and the supertask jump 0∇, has in a sense both positive and negative solutions. Namely, in the context of the reals there are no degrees between 0 and 0∇, but in the context of sets of reals, there are; indeed, there are incomparable semi-decidable supertask degrees. Both arguments employ a kind of transfinite-injury construction which generalizes canonically to oracles.
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  21.  30
    Infinite Pains: The Trouble with Supertasks.John Earman & John Norton - 1996 - In Adam Morton & Stephen P. Stich (eds.), Benacerraf and His Critics. Blackwell. pp. 11--271.
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  22.  9
    Energy Conservation and Supertasks.Jon Pérez Laraudogoitia - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (2):364-379.
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  23.  23
    Energy Conservation and Supertasks.Jon Pérez Laraudogoitia - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (2):364-379.
  24.  49
    On the Dynamics of Perez Lauraudogoitia's Supertask.Mark Bridger & Joseph S. Alper - 1999 - Synthese 119 (3):325-337.
    The supertasks described by Perez Laraudogoitia, involving the dynamics of a system containing an infinite number of particles in a bounded region of space, are characterized by the nonconservation of energy and by the spontaneous motion of particles. We argue that these features arise from the inadequacy of the local, particle-by-particle description used to analyze the supertasks. A global analysis, involving embeddings in Hilbert spaces, clarifies these supertasks and avoids what we regard as their nonphysical features.
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  25. Topological Games, Supertasks, and (Un)Determined Experiments.Thomas Mormann - manuscript
    The general aim of this paper is to introduce some ideas of the theory of infinite topological games into the philosophical debate on supertasks. First, we discuss the elementary aspects of some infinite topological games, among them the Banach-Mazur game.Then it is shown that the Banach-Mazur game may be conceived as a Newtonian supertask.In section 4 we propose to conceive physical experiments as infinite games. This leads to the distinction between determined and undetermined experiments and the problem of how (...)
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  26.  77
    An Interesting Fallacy Concerning Dynamical Supertasks.Jon Pérez Laraudogoitia - 2005 - British Journal for the Philosophy of Science 56 (2):321-334.
    Recently, Alper, Bridger, Earman and Norton have all proposed examples of dynamic systems that, in their view, are incompatible with classical (Newtonian) mechanics. In the first section of the present paper I shall show that their arguments are all undermined by the same fallacy. The second section proves that their conclusions of incompatibility are indeed false, and that what we are really looking at are new forms of indeterminist evolution of the same kind as that found recently in the literature (...)
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  27.  72
    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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  28.  18
    Science, Skepticism, Scripture, and Supertasks: Replies to Torrance, Deng, Madueme, Goldschmidt and Lebens.Hud Hudson - 2017 - Journal of Analytic Theology 5:637-659.
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  29.  63
    Two Ways of Looking at a Newtonian Supertask.Jon Pérez Laaraudogoitia, Mark Bridger & Joseph S. Alper - 2002 - Synthese 131 (2):173 - 189.
    A supertask is a process in which an infinite number of individuated actions are performed in a finite time. A Newtonian supertask is one that obeys Newton''s laws of motion. Such supertasks can violate energy and momentum conservation and can exhibit indeterministic behavior. Perez Laraudogoitia, who proposed several Newtonian supertasks, uses a local, i.e., particle-by-particle, analysis to obtain these and other paradoxical properties of Newtonian supertasks. Alper and Bridger use a global analysis, embedding the system of particles in (...)
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  30.  11
    Two Ways Of Looking At A Newtonian Supertask.Jon Pérez Laaraudogoitia, Mark Bridger & Joseph Alper - 2002 - Synthese 131 (2):173-189.
    A supertask is a process in which an infinite number of individuated actions are performed in a finite time. A Newtonian supertask is one that obeys Newton's laws of motion. Such supertasks can violate energy and momentum conservation and can exhibit indeterministic behavior. Perez Laraudogoitia, who proposed several Newtonian supertasks, uses a local, i.e., particle-by-particle, analysis to obtain these and other paradoxical properties of Newtonian supertasks. Alper and Bridger use a global analysis, embedding the system of particles in (...)
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  31. 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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  32.  3
    An Interesting Fallacy Concerning Dynamical Supertasks.Jon P.É & rez Laraudogoitia - 2005 - British Journal for the Philosophy of Science 56 (2):321-334.
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  33.  43
    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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  34.  14
    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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  35.  13
    Discussion. Earman and Norton on Supertasks That Generate Indeterminism.J. P. 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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  36.  16
    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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  37.  67
    Argument-Forms Which Turn Invalid Over Infinite Domains: Physicalism as Supertask?Catherine Legg - 2008 - Contemporary Pragmatism 5 (1):1-11.
    Argument-forms exist which are valid over finite but not infinite domains. Despite understanding of this by formal logicians, philosophers can be observed treating as valid arguments which are in fact invalid over infinite domains. In support of this claim I will first present an argument against the classical pragmatist theory of truth by Mark Johnston. Then, more ambitiously, I will suggest the fallacy lurks in certain arguments for physicalism taken for granted by many philosophers today.
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  38.  40
    A Simple and Interesting Classical Mechanical Supertask.Jon Laraudogoitia - 2017 - Synthese 194 (2).
    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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  39.  3
    Just as Beautiful but Not a Supertask.Jon P.É 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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  40. Some Relativistic and Higher Order Supertasks.J. Pérez Laraudogoitia - 1998 - Philosophy of Science 65:502-517.
  41.  14
    Undeformable Bodies That Are Not Rigid Bodies: A Philosophical Journey Through Some (Unexpected) Supertasks.Jon Pérez Laraudogoitia - forthcoming - Axiomathes:1-21.
    There is broad consensus as to what a rigid body is in classical mechanics. The idea is that a rigid body is an undeformable body. In this paper I show that, if this identification is accepted, there are therefore rigid bodies which are unstable. Instability here means that the evolution of certain rigid bodies, even when isolated from all external influence, may be such that their identity is not preserved over time. The result is followed by analyzing supertasks that are (...)
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  42.  32
    On Fair Countable Lotteries.Casper Storm Hansen - 2017 - Philosophical Studies 174 (11):2787-2794.
    Two reverse supertasks—one new and one invented by Pérez Laraudogoitia —are discussed. Contra Kerkvliet and Pérez Laraudogoitia, it is argued that these supertasks cannot be used to conduct fair infinite lotteries, i.e., lotteries on the set of natural numbers with a uniform probability distribution. The new supertask involves an infinity of gods who collectively select a natural number by each removing one ball from a collection of initially infinitely many balls in a reverse omega-sequence of actions.
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  43. A Relativistic Zeno Effect.David Atkinson - 2008 - Synthese 160 (1):5 - 12.
    A Zenonian supertask involving an infinite number of identical colliding balls is generalized to include balls with different masses. Under the restriction that the total mass of all the balls is finite, classical mechanics leads to velocities that have no upper limit. Relativistic mechanics results in velocities bounded by that of light, but energy and momentum are not conserved, implying indeterminism. The notion that both determinism and the conservation laws might be salvaged via photon creation is shown to be (...)
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  44. Why the Infinite Decision Puzzle is Puzzling.Jeffrey A. Barrett & Frank Arntzenius - 2002 - Theory and Decision 52 (2):139-147.
    Pulier (2000, Theory and Decision 49: 291) and Machina (2000, Theory and Decision 49: 293) seek to dissolve the Barrett–Arntzenius infinite decision puzzle (1999, Theory and Decision 46: 101). The proposed dissolutions, however, are based on misunderstandings concerning how the puzzle works and the nature of supertasks more generally. We will describe the puzzle in a simplified form, address the recent misunderstandings, and describe possible morals for decision theory.
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  45. Hypercomputation and the Physical Church‐Turing Thesis.Paolo Cotogno - 2003 - British Journal for the Philosophy of Science 54 (2):181-223.
    A version of the Church-Turing Thesis states that every effectively realizable physical system can be simulated by Turing Machines (‘Thesis P’). In this formulation the Thesis appears to be an empirical hypothesis, subject to physical falsification. We review the main approaches to computation beyond Turing definability (‘hypercomputation’): supertask, non-well-founded, analog, quantum, and retrocausal computation. The conclusions are that these models reduce to supertasks, i.e. infinite computation, and that even supertasks are no solution for recursive incomputability. This yields that the (...)
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  46. The Infinity From Nothing Paradox and the Immovable Object Meets the Irresistible Force.Nicholas Shackel - 2018 - European Journal for Philosophy of Science 8 (3):417-433.
    In this paper I present a novel supertask in a Newtonian universe that destroys and creates infinite masses and energies, showing thereby that we can have infinite indeterminism. Previous supertasks have managed only to destroy or create finite masses and energies, thereby giving cases of only finite indeterminism. In the Nothing from Infinity paradox we will see an infinitude of finite masses and an infinitude of energy disappear entirely, and do so despite the conservation of energy in all collisions. (...)
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  47. Infinite Time Turing Machines.Joel David Hamkins - 2002 - Minds and Machines 12 (4):567-604.
    Infinite time Turing machines extend the operation of ordinary Turing machines into transfinite ordinal time. By doing so, they provide a natural model of infinitary computability, a theoretical setting for the analysis of the power and limitations of supertask algorithms.
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  48.  54
    The Staccato Roller Coaster: A Simple Physical Model of the Staccato Run.Chunghyoung Lee - 2013 - Synthese 190 (3):549-562.
    I present a simple model of Grünbaum’s staccato run in classical mechanics, the staccato roller coaster. It consists of a bead sliding on a frictionless wire shaped like a roller coaster track with infinitely many hills of diminishing size, each of which is a one-dimensional variant of the so-called Norton dome. The staccato roller coaster proves beyond doubt the dynamical (and hence logical) possibility of supertasks in classical mechanics if the Norton dome is a proper system of classical mechanics with (...)
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  49.  77
    Infinite Time Turing Machines.Joel David Hamkins & Andy Lewis - 2000 - Journal of Symbolic Logic 65 (2):567-604.
    Infinite time Turing machines extend the operation of ordinary Turing machines into transfinite ordinal time. By doing so, they provide a natural model of infinitary computability, a theoretical setting for the analysis of the power and limitations of supertask algorithms.
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  50. Supermachines and Superminds.Eric Steinhart - 2003 - Minds and Machines 13 (1):155-186.
    If the computational theory of mind is right, then minds are realized by machines. There is an ordered complexity hierarchy of machines. Some finite machines realize finitely complex minds; some Turing machines realize potentially infinitely complex minds. There are many logically possible machines whose powers exceed the Church–Turing limit (e.g. accelerating Turing machines). Some of these supermachines realize superminds. Superminds perform cognitive supertasks. Their thoughts are formed in infinitary languages. They perceive and manipulate the infinite detail of fractal objects. They (...)
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