Abstract
The yablo Paradox’ main interest lies on its prima facie non-circular character, which many have doubted, specially when formulated in an extension of the language of first-order arithmetic. Particularly, Priest (1997) and Cook (2006, forthcoming) provided contentious arguments in favor of circularity. my aims in this note are (i) to show that the notion of circularity involved in the debate so far is defective, (ii) to provide a new sound and useful partial notion of circularity and (iii) to show there is a non-circular formulation of the list in an extension of the language of firstorder arithmetic according to the new notion.
Abstract
El interés principal de la Paradoja de Yablo yace en su carácter prima facie no circular, el cual ha sido puesto en duda especialmente con respecto a la formulación de la paradoja en una extensión del lenguaje de la aritmética de primer orden. Particularmente, Priest (1997) y Cook (2006, en prensa) formularon argumentos contenciosos a favor de la circularidad. los objetivos de esta nota son (i) señalar que la noción de circularidad utilizada hasta el momento en el debate es defectuosa, (ii) ofrecer una nueva noción parcial adecuada y útil de circularidad y (iii) mostrar que existe una formulación no circular de la lista en una extensión del lenguaje de la aritmética de primer orden de acuerdo con la nueva noción
Item Type: | Journal article |
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Form of publication: | Publisher's Version |
Keywords: | Yablo Paradox; First-order languages; Circularity; Triviality; Fixed point |
Faculties: | Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) > Logic |
Subjects: | 100 Philosophy and Psychology > 160 Logic |
URN: | urn:nbn:de:bvb:19-epub-42203-7 |
ISSN: | 1851-9636 |
Language: | English |
Item ID: | 42203 |
Date Deposited: | 20. Feb 2018, 07:36 |
Last Modified: | 04. Nov 2020, 13:17 |