Abstract
When two omnipotent beings are randomly and sequentially selecting positive integers, the being who selects second is almost certain to select a larger number. I then use the relativity of simultaneity to create a paradox by having omnipotent beings select positive integers in different orders for different observers.
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Notes
Certainty minus an infinitesimal.
In informal conversations.
Selection will be replaced by creation, to be defined as selection and display.
Albert Einstein, Relativity: The Special and the General Theory – A Popular Exposition (New York: Crown Publishers, 1961). In particular, see chapter 9, though my set-up differs slightly from Einstein’s.
As discussed above, the order of creation (selection and display) matches the order of observation.
As argued above.
I thank Mr. Cormier and Professor Levin for helpful, engaging discussion.
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An erratum to this article can be found at http://dx.doi.org/10.1007/s11406-007-9043-2
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Gwiazda, J. The Train Paradox. Philosophia 34, 437–438 (2006). https://doi.org/10.1007/s11406-006-9041-9
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DOI: https://doi.org/10.1007/s11406-006-9041-9