The Nothing from Infinity paradox versus Plenitudinous Indeterminism

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


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.

Similar books and articles

New Zeno and Actual Infinity.Hansen Casper - 2011 - Open Journal of Philosophy 1 (2):57-60.
New Zeno and Actual Infinity.Casper Storm Hansen - 2011 - Open Journal of Philosophy 1 (2):57.
Бесконечный лжец.Vsevolod Ladov - 2014 - Schole 8 (2):285-292.
The two-envelope paradox.Michael Clark & Nicholas Shackel - 2000 - Mind 109 (435):415--442.
The inverse spaceship paradox.J. P. Laraudogoitia - 2011 - Synthese 178 (3):429-435.
Some paradoxes of infinity revisited.Yaroslav Sergeyev - 2022 - Mediterranian Journal of Mathematics 19:143.
Aristotelian Infinity.John Bowin - 2007 - Oxford Studies in Ancient Philosophy 32:233-250.
Infinity: the quest to think the unthinkable.Brian Clegg - 2003 - [Berkeley, Calif.]: Publishers Group West.
How are Concepts of Infinity Acquired?Kazimierz Trzęsicki - 2015 - Studies in Logic, Grammar and Rhetoric 40 (1):179-217.
A Paradox of Matter and Form.Maegan Fairchild - 2017 - Thought: A Journal of Philosophy 6 (1):33-42.


Added to PP

294 (#66,188)

6 months
89 (#46,437)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Nicholas Shackel
Cardiff University

Citations of this work

No citations found.

Add more citations

References found in this work

Infinity.José A. Benardete - 1964 - Oxford,: Clarendon Press.
Philosophical Perspectives on Infinity.Graham Robert Oppy - 2006 - New York: Cambridge University Press.
A beautiful supertask.Jon Perez Laraudogoitia - 1996 - Mind 105 (417):81-83.
The Infinite.A. W. MOORE - 1990 - Revue Philosophique de la France Et de l'Etranger 182 (3):355-357.
Achilles and the Tortoise.Max Black - 1970 - In Wesley Charles Salmon (ed.), Zeno’s Paradoxes. Indianapolis, IN, USA: Bobbs-Merrill. pp. 67-81.

View all 12 references / Add more references