Erkenntnis 78 (5):971-975 (2013)

In this paper, I present a puzzle involving special relativity and the random selection of real numbers. In a manner to be specified, darts thrown later hit reals further into a fixed well-ordering than darts thrown earlier. Special relativity is then invoked to create a puzzle. I consider four ways of responding to this puzzle which, I suggest, fail. I then propose a resolution to the puzzle, which relies on the distinction between the potential infinite and the actual infinite. I suggest that certain structures, such as a well-ordering of the reals, or the natural numbers, are examples of the potential infinite, whereas infinite integers in a nonstandard model of arithmetic are examples of the actual infinite
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DOI 10.1007/s10670-012-9371-x
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References found in this work BETA

On Thought Experiments: Is There More to the Argument?John D. Norton - 2004 - Philosophy of Science 71 (5):1139-1151.
The Infinite.A. W. Moore - 1990 - Routledge.
The Infinite.Janet Folina & A. W. Moore - 1991 - Philosophical Quarterly 41 (164):348.

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On Multiverses and Infinite Numbers.Jeremy Gwiazda - 2014 - In Klaas Kraay (ed.), God and the Multiverse. Routledge. pp. 162-173.

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