Eliminating self-reference from Grelling's and Zwicker's paradoxes
- Martínez Fernández, José
- Valor Abad, Jordi
ISSN: 0495-4548
Año de publicación: 2014
Volumen: 29
Número: 79
Páginas: 85-97
Tipo: Artículo
Otras publicaciones en: Theoria: an international journal for theory, history and foundations of science
Resumen
El objetivo de este artículo es ofrecer versiones de las paradojas de Grelling (sobre el predicado "heterológico") y de Zwicker (sobre el hiperjuego) inspiradas en la paradoja de Yablo. Nuestras versiones de estas paradojas no parecen involucrar ni autorreferencia ni circularidad viciosa.
Referencias bibliográficas
- Barwise, J. and Moss, L. 1996. Vicious Circles. On the Mathematics of Non-Wellfounded Phenomena. Stanford: CSLI Publications.
- Beall, JC. 1999. Completing Sorensen's menu: a non-modal Yabloesque Curry. Mind 108: 737-39.
- Beall, JC. 2001. Is Yablo's paradox non-circular? Analysis 61: 176-87.
- Bueno, O. and M. Colyvan. 2003. Paradox without satisfaction. Analysis 63: 152-56.
- Cook, R. 2004. Patterns of Paradox. Journal of Symbolic Logic 69(3): 767-774.
- Goldstein, L. 1994. A Yabloesque paradox in set theory. Analysis 54: 223-27.
- Ketland, J. 2004. Bueno and Colyvan on Yablo's paradox. Analysis 64: 165-72.
- Ketland, J. 2005. Yablo's paradox and ω-inconsistency. Synthese 145: 295-302.
- Leitgeb, H. 2002. What is a self-referential sentence? Critical remarks on the alleged (non-)circularity of Yablo's paradox. Logique & Analyse 177-178: 3-14.
- Priest, G. 1994. The Structure of the Paradoxes of Self-Reference. Mind 103: 25-34.
- Priest, G. 1997. Yablo's paradox. Analysis 57: 236-42.
- Priest, G. 2002 (2nd edition). Beyond the Limits of Thought. Oxford: Oxford University Press.
- Russell, B. 1905. On Some Difficulties in the Theory of Transfinite Numbers and Order Types. Proceedings of the London Mathematical Society, (series 2) 4: 29-53. Reprinted in D. Lackey, ed. Essays in Analysis. London: Allen and Unwin, 1973.
- Russell, B. 1956. Mathematical Logic as based on the Theory of Types. In Logic and Knowledge, edited by R. Ch. Marsh, 59-102. London: Allen & Unwin. Originally published in American Journal of Mathematics 30 (1908): 222-62.
- Schlenker, P. 2007a. The Elimination of Self-Reference: Generalized Yablo-Series and the Theory of Truth. Journal of Philosophical Logic 36: 251-307.
- Schlenker, P.. 2007b. How to eliminate self-reference: a précis. Synthese 158: 127-38.
- Sorensen, R. 1998. Yablo's paradox and kindred infinite liars. Mind 107: 137-55.
- Urbaniak, R. 2009. Leitgeb, "about," Yablo. Logique & Analyse 207: 239-254.
- Uzquiano, G. 2004. An infinitary paradox of denotation. Analysis 64: 128-31.
- Valor Abad, J. 2008. The Inclosure Scheme and the Solution of the Paradoxes of Self-Reference. Synthese 160: 183-202.
- Yablo, S. 1993. Paradox without self-reference. Analysis 53: 251-52.
- Zwicker, W. 1987. Playing Games with Games: The Hypergame Paradox. The American Mathematical Monthly 94: 507-514.