Mind 107 (428):751-762 (1998)

Stewart Shapiro
Ohio State University
The paradox of the Unexpected Hanging, related prediction paradoxes, and the Sorites paradoxes all involve reasoning about ordered collections of entities: days ordered by date in the case of the Unexpected Hanging; men ordered by the number of hairs on their heads the case of the bald man version of the Sorites. The reasoning then assigns each entity a value that depends on the previously assigned value of one of the neighboring entities. The final result is paradoxical because it conflicts with the obviously correct, commonsensical value. The paradox is due to the serial procedure of assigning a value based on the newly assigned value of the neighbor. An alternative procedure is to assign each value based only on the original values of neighbors - a parallel procedure. That procedure does not give paradoxical answers.
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DOI 10.1093/mind/107.428.751
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References found in this work BETA

Paradoxes.R. M. Sainsbury - 1990 - Philosophy 65 (251):106-111.
Pragmatic Paradoxes.D. J. O'Connor - 1948 - Mind 57 (227):358-359.
Recalcitrant Variations of the Prediction Paradox.Roy A. Sorensen - 1982 - Australasian Journal of Philosophy 60 (4):355 – 362.
Paradoxical Announcements.Michael Scriven - 1951 - Mind 60 (239):403-407.

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An Illocutionary Logical Explanation of the Surprise Execution.John Kearns - 1999 - History and Philosophy of Logic 20 (3-4):195-213.
Is There a Nonrecursive Decidable Equational Theory?Benjamin Wells - 2002 - Minds and Machines 12 (2):301-324.

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