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The Nothing from Infinity paradox versus Plenitudinous Indeterminism
European Journal for Philosophy of Science ( IF 1.5 ) Pub Date : 2022-06-08 , DOI: 10.1007/s13194-022-00463-z
Nicholas Shackel

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.



中文翻译:

无限悖论中的虚无与充分的不确定性

当两个无穷大点粒子的组合在一个超级任务中相遇并消失时,就会出现无穷大悖论。Corral-Villate 声称我关于失踪的论点失败了,并承认这种失败也产生了一种极端的不确定性,我称之为 plenitudinous。所以我的超级任务至少在牛顿点粒子力学中提出了一个极端不确定性的困境。大量的不确定性可能是微不足道的,尽管在看似合理的连续性原则面前,证明它的简单尝试似乎失败了。然而,它的微不足道的问题在这里没有实际意义,因为我表明,除了在一种情况下,Corral-Villate 的反证失败,并且经过更正,原始论点没有被反驳。因此,在我的超级任务结果的两个竞争者中,

更新日期:2022-06-09
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