INVESTIGADORES
BODANZA Gustavo Adrian
artículos
Título:
The «lottery paradox» paradox: an extension semantics for dealing with this and other self-attacking arguments
Autor/es:
BODANZA, GUSTAVO ADRIÁN
Revista:
CLE-E-Prints
Editorial:
Centre for Logic, Epistemology and the History of Science, UNICAMP, Brazil.
Referencias:
Año: 2008 p. 1 - 12
ISSN:
1519-9681
Resumen:
The ``lottery paradox´´ paradox --a problem derived from the well-known lottery paradox-- arises as the result of chaining defeasible reasons that lead from the statement `the lottery is fair´ to the statement `the lottery is not fair´, conforming in consequence a self-attacking argument. In the argument systems community, the common intuition is that the subargument concluding `the lottery is fair´ should not be defeated by the whole, self-attacking argument. This paper shows two simple extension semantics that capture this intuition.  The semantics, called {em sustainable} and {em lax} respectively, are modeled upon argumentation frameworks and constructed on the common ground of the powerful concept of admissibility introduced by P.M. Dung (cite{cite1}).  Sustainable semantics results to be more ``credulous´´ than preferred semantics, since enables the acceptance of arguments that are attacked only by other arguments that in time are self-attacking. Lax semantics, on the other hand, behaves the same as sustainable semantics, in addition to the acceptance of arguments that are self-attacking only in an indirect way (viz., those involved in odd-length cycles of attack).