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  1. Lamps, cubes, balls and walls: Zeno problems and solutions.Jeanne Peijnenburg & David Atkinson - 2010 - Philosophical Studies 150 (1):49-59.
    Various arguments have been put forward to show that Zeno-like paradoxes are still with us. A particularly interesting one involves a cube composed of colored slabs that geometrically decrease in thickness. We first point out that this argument has already been nullified by Paul Benacerraf. Then we show that nevertheless a further problem remains, one that withstands Benacerraf’s critique. We explain that the new problem is isomorphic to two other Zeno-like predicaments: a problem described by Alper and Bridger in 1998 (...)
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  • A New Contact Paradox.Jon Pérez Laraudogoitia - forthcoming - Foundations of Science:1-18.
    There is a well-known variety of contact paradoxes which are significantly linked to topology. The aim of this paper is to present a new paradox concerning contact with bodies composed of a denumerable infinity of parts. This paradox establishes the logical necessity, in a Newtonian context, of contact forces that violate what is probably our most basic causal intuition, embodied in what I call the Principle of Influence: any force exerted on a body B induces change of movement of B (...)
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  • Unmoved movers: a very simple and novel form of indeterminism.Jon Pérez Laraudogoitia - 2022 - European Journal for Philosophy of Science 12 (3):1-23.
    It is common knowledge that the Aristotelian idea of an unmoved mover was abandoned definitively with the advent of modern science and, in particular, Newton’s precise formulation of mechanics. Here I show that the essential attribute of an unmoved mover is not incompatible with such mechanics; quite the contrary, it makes this possible. The unmoved mover model proposed does not involve supertasks, and leads both to an outrageous form of indeterminism and a new, accountable form of interaction. The process presents (...)
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  • 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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  • A Note on some New Infinity Puzzles.Jon Pérez Laraudogoitia - 2020 - Philosophia 48 (4):1483-1491.
    In this short note I argue that, using the type of configurations put forward in a recent paper by Laraudogoitia in this same journal, new paradoxes of infinity of a completely different nature can be formulated.
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  • A Note on some New Infinity Puzzles.Jon Pérez Laraudogoitia - 2020 - Philosophia 48 (4):1483-1491.
    In this short note I argue that, using the type of configurations put forward in a recent paper by Laraudogoitia in this same journal, new paradoxes of infinity of a completely different nature can be formulated.
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  • Transfinitely Transitive Value.Kacper Kowalczyk - 2021 - Philosophical Quarterly 72 (1):108-134.
    This paper develops transfinite extensions of transitivity and acyclicity in the context of population ethics. They are used to argue that it is better to add good lives, worse to add bad lives, and equally good to add neutral lives, where a life's value is understood as personal value. These conclusions rule out a number of theories of population ethics, feed into an argument for the repugnant conclusion, and allow us to reduce different-number comparisons to same-number ones. Challenges to these (...)
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  • Nonconservation of Energy and Loss of Determinism II. Colliding with an Open Set.David Atkinson & Porter Johnson - 2010 - Foundations of Physics 40 (2):179-189.
    An actual infinity of colliding balls can be in a configuration in which the laws of mechanics lead to logical inconsistency. It is argued that one should therefore limit the domain of these laws to a finite, or only a potentially infinite number of elements. With this restriction indeterminism, energy nonconservation and creatio ex nihilo no longer occur. A numerical analysis of finite systems of colliding balls is given, and the asymptotic behaviour that corresponds to the potentially infinite system is (...)
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  • On Multiverses and Infinite Numbers.Jeremy Gwiazda - 2014 - In Klaas Kraay (ed.), God and the Multiverse. Routledge. pp. 162-173.
    A multiverse is comprised of many universes, which quickly leads to the question: How many universes? There are either finitely many or infinitely many universes. The purpose of this paper is to discuss two conceptions of infinite number and their relationship to multiverses. The first conception is the standard Cantorian view. But recent work has suggested a second conception of infinite number, on which infinite numbers behave very much like finite numbers. I will argue that that this second conception of (...)
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