The Structural Collapse Approach Reconsidered

Análisis Filosófico 32 (1):61-68 (2012)
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Abstract

I will argue that Roy Cook’s (forthcoming) reformulation of Yablo’s Paradox in the infinitary system D is a genuinely non-circular paradox, but for different reasons than the ones he sustained. In fact, the first part of the job will be to show that his argument regarding the absence of fixed points in the construction is insufficient to prove the noncircularity of it; at much it proves its non-self referentiality. The second is to reconsider the structural collapse approach Cook rejects, and argue that a correct understanding of it leads us to the claim that the infinitary paradox is actually non-circular. En este trabajo argumentaré que la reformulación que Roy Cook (forthcoming) hace de la paradoja de yablo en el sistema infinitario D es una genuina paradoja no circular, pero por motivos distintos a los defendidos por ese autor. La primera parte del trabajo consiste en mostrar que la ausencia de puntos fijos en la construcción es insuficiente para demostrar su no circularidad, a lo sumo prueba su no autorreferencialidad. La segunda parte consiste en volver a considerar el enfoque del colapso estructural que Cook rechaza, y argumentar que una correcta comprensión del mismo revela que la paradoja es genuinamente no circular

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References found in this work

Paradox without Self-Reference.Stephen Yablo - 1993 - Analysis 53 (4):251-252.
The Liar.J. Barwise & J. Etchemendy - 1990 - Studia Logica 49 (3):426-427.
Patterns of paradox.Roy T. Cook - 2004 - Journal of Symbolic Logic 69 (3):767-774.
Circularity and Paradox.Stephen Yablo - 2008 - In Thomas Bolander (ed.), Self-reference. Center for the Study of Language and Inf. pp. 139--157.
Grounding, dependence, and paradox.Steve Yablo - 1982 - Journal of Philosophical Logic 11 (1):117 - 137.

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