Garcia-Fronti, Javier (2008): A Short Note on the Infinite Decision Puzzle.
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Abstract
This work draws on the Supertask literature1 in order to better understand the conceptual and physical possibility of an infinite decision puzzle presented by Barrett and Arntzenius (1999, 2002). The first section presents the puzzle and two possible objections documented in the literature. The next section argues that cardinality and tracking considerations play a key role in understanding the puzzle. The work concludes with a discussion about some implications for the decision theory.
Item Type: | MPRA Paper |
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Original Title: | A Short Note on the Infinite Decision Puzzle |
Language: | English |
Keywords: | supertask infinite decision puzzle |
Subjects: | G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice ; Investment Decisions B - History of Economic Thought, Methodology, and Heterodox Approaches > B4 - Economic Methodology > B41 - Economic Methodology |
Item ID: | 9571 |
Depositing User: | Javier Garcia-Fronti |
Date Deposited: | 16 Jul 2008 00:44 |
Last Modified: | 29 Sep 2019 17:26 |
References: | Allis, V. and Koetsier, T., 1991, „On Some Paradoxes of the Infinite‟, British Journal for the Philosophy of Science, 42, pp. 187-194 Allis, V. and Koetsier, T., 1995, „On Some Paradoxes of the Infinite II‟, British Journal for the Philosophy of Science, 46, pp. 235-247 Barrett, J. A. and Arntzenius, F. (1999) An Infinite Decision Puzzle. Theory and Decision, 46 (1), 101-103. Barrett, J. A. and Arntzenius, F. (2002) Why the Infinite Decision Puzzle Is Puzzling. Theory and Decision, 52 (2), 139-147. Benacerraf, P. (1962) Tasks, Super-Tasks, and the Modern Eleatics. The Journal of Philosophy, 59 (24), 765-784. Black, M. (1951) „Achilles and the Tortoise‟. Analysis, 11 (5), 91-101. Earman, J., and Norton, J. (1996) „Infinite Pains: The Trouble with Supertasks‟, in Benacerraf and His Critics, A. Morton and S. Stich (eds.), Oxford: Blackwell, pp. 231-261. Grünbaum, A. (1970) „Modern Science and Zeno's Paradoxes of Motion‟, in Salmon [1970], pp. 200-250 Pérez Laraudogoitia, J. (1996) A Beautiful Supertask. Mind, 105 (417), 81-83. Pérez Laraudogoitia, J. (2004) "Supertasks", The Stanford Encyclopedia of Philosophy (Winter 2004 Edition), Edward N. Zalta (ed.), URL = http://plato.stanford.edu/archives /win2004/entries/spacetime-supertasks/>. Sainsbury, R. (1995) Paradoxes, Cambridge: Cambridge University Press.2nd edition. Scott, M. and Scott, A. (2005) Infinite Exchange Problems. Theory and Decision, 57 (4), 397-406. Silagadze, Z. K. (2005) Zeno Meets Modern Science. Acta Physica Polonica B, 36 (10), 2887. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/9571 |