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Some New Infinity Puzzles

Philosophia 48 (3):1093-1099 (2020)

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  1. 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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  • Fluids, Molecules and Paradoxes of Infinity.Jon Pérez Laraudogoitia - 2022 - Philosophia 50 (4):1945-1953.
    Several paradoxes of infinity have recently featured in this journal involving gases distributed in a denumerable infinite series of compartments. I shall demonstrate in this paper that:a) None of these new paradoxes applies where the gases comply with both Boyle’s law and Avogadro’s law. As several of these new paradoxes expressly require compliance with Boyle’s law, it is unclear, in principle, as to whether there is a plausible model of gas that is able to uphold them all.b) Notwithstanding a), 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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