European Journal for Philosophy of Science 12 (online early):1-14 (2022)

Authors
Nicholas Shackel
Cardiff University
Abstract
The Nothing from Infinity paradox arises when the combination of two infinitudes of point particles meet in a supertask and disappear. Corral-Villate claims that my arguments for disappearance fail and concedes that this failure also produces an extreme kind of indeterminism, which I have called plenitudinous. So my supertask at least poses a dilemma of extreme indeterminism within Newtonian point particle mechanics. Plenitudinous indeterminism might be trivial, although easy attempts to prove it so seem to fail in the face of plausible continuity principles. However, the question of its triviality is here moot, since I show that, except in one case, Corral-Villate’s disproofs fail, and with a correction, the original arguments are unrefuted. Consequently, of the two contenders for the outcome of my supertask, the Nothing from Infinity paradox has won out.
Keywords Nothing from Infinity paradox  vanishing indeterminism  plenitudinous indeterminism  composition argument  continuity principle  continuity argument
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DOI 10.1007/s13194-022-00463-z
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References found in this work BETA

Philosophical Perspectives on Infinity.Graham Oppy - 2006 - Cambridge University Press.
A Beautiful Supertask.Jon Perez Laraudogoitia - 1996 - Mind 105 (417):81-83.
On Shackel’s nothing from infinity paradox.Amaia Corral-Villate - 2020 - European Journal for Philosophy of Science 10 (3):1-13.

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