Throwing Darts, Time, and the Infinite

Erkenntnis 78 (5):971-975 (2013)
Abstract
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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    References found in this work BETA
    James Robert Brown (2004). Peeking Into Plato's Heaven. Philosophy of Science 71 (5):1126-1138.
    Jeremy Gwiazda (2012). On Infinite Number and Distance. Constructivist Foundations 7 (2):126-130.
    Jeremy Gwiazda (2006). The Train Paradox. Philosophia 34 (4):437-438.

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    Jeremy Gwiazda (2012). On Infinite Number and Distance. Constructivist Foundations 7 (2):126-130.
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