Abstract
This paper considers a range of infinite exchange problems, including one recent example discussed by Barrett and Arntzenius, and propose a general taxonomy based on cardinality considerations and the possibility of identifying and tracking the units of exchange.
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V. Allis T. Koetsier (1991) ArticleTitleOn some paradoxes of the infinite British Journal for the Philosophy of Science 42 187–194
J. Barrett F. Arntzenius (1999) ArticleTitleAn infinite decision puzzle Theory and Decision 46 IssueID1 101–103 Occurrence Handle10.1023/A:1005094023022
J. Barrett F. Arntzenius (2002) ArticleTitleWhy the infinite decision puzzle is puzzling Theory and Decision 52 IssueID2 139–147 Occurrence Handle10.1023/A:1015564123344
J.E. Littlewood (1986) NoChapterTitle B. Bollobás (Eds) Littlewood’s Miscellany Cambridge University Press Cambridge
S. Ross (1988) A First Course in Probability EditionNumber3 Macmillan New York & London
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Scott, M., Scott, A. Infinite Exchange Problems. Theor Decis 57, 397–406 (2004). https://doi.org/10.1007/s11238-005-0120-3
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DOI: https://doi.org/10.1007/s11238-005-0120-3