On the Possibility of a General Purge of Self-Reference
My aim in this paper is to gather some evident in favor of the view that a general purge of self-reference is possible. I do this by considering a modal-epistemic version of the Liar Paradox introduced by Roy Cook. Using yabloesque techniques, I show that it is possible to transform this circular pa...
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| Format: | Article |
| Language: | English |
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Sociedad Argentina de Análisis Filosófico (SADAF)
2012-05-01
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| Series: | Análisis Filosófico |
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| Online Access: | https://analisisfilosofico.org/index.php/af/article/view/109 |
| _version_ | 1827866680078893056 |
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| author | Lucas Rosenblatt |
| author_facet | Lucas Rosenblatt |
| author_sort | Lucas Rosenblatt |
| collection | DOAJ |
| description | My aim in this paper is to gather some evident in favor of the view that a general purge of self-reference is possible. I do this by considering a modal-epistemic version of the Liar Paradox introduced by Roy Cook. Using yabloesque techniques, I show that it is possible to transform this circular paradoxical construction (and other constructions as well) into an infinitary construction lacking any sort of circularity. Moreover, contrary to Cook’s approach, I think that this can be done without using any controversial multimodal rules, i.e., the usual rules from normal epistemic and modal logic are enough to show the paradoxicality of the infinitary construction. |
| first_indexed | 2024-03-12T15:08:55Z |
| format | Article |
| id | doaj.art-1979ec85574b46019f4da2969b864b35 |
| institution | Directory Open Access Journal |
| issn | 0326-1301 1851-9636 |
| language | English |
| last_indexed | 2024-03-12T15:08:55Z |
| publishDate | 2012-05-01 |
| publisher | Sociedad Argentina de Análisis Filosófico (SADAF) |
| record_format | Article |
| series | Análisis Filosófico |
| spelling | doaj.art-1979ec85574b46019f4da2969b864b352023-08-12T00:15:00ZengSociedad Argentina de Análisis Filosófico (SADAF)Análisis Filosófico0326-13011851-96362012-05-013215359https://doi.org/10.36446/af.2012.109On the Possibility of a General Purge of Self-Reference Lucas Rosenblatt0Universidad de Buenos Aires / CONICETMy aim in this paper is to gather some evident in favor of the view that a general purge of self-reference is possible. I do this by considering a modal-epistemic version of the Liar Paradox introduced by Roy Cook. Using yabloesque techniques, I show that it is possible to transform this circular paradoxical construction (and other constructions as well) into an infinitary construction lacking any sort of circularity. Moreover, contrary to Cook’s approach, I think that this can be done without using any controversial multimodal rules, i.e., the usual rules from normal epistemic and modal logic are enough to show the paradoxicality of the infinitary construction.https://analisisfilosofico.org/index.php/af/article/view/109yablo’s paradoxself-referenceinfinitary logicmodal logic |
| spellingShingle | Lucas Rosenblatt On the Possibility of a General Purge of Self-Reference Análisis Filosófico yablo’s paradox self-reference infinitary logic modal logic |
| title | On the Possibility of a General Purge of Self-Reference |
| title_full | On the Possibility of a General Purge of Self-Reference |
| title_fullStr | On the Possibility of a General Purge of Self-Reference |
| title_full_unstemmed | On the Possibility of a General Purge of Self-Reference |
| title_short | On the Possibility of a General Purge of Self-Reference |
| title_sort | on the possibility of a general purge of self reference |
| topic | yablo’s paradox self-reference infinitary logic modal logic |
| url | https://analisisfilosofico.org/index.php/af/article/view/109 |
| work_keys_str_mv | AT lucasrosenblatt onthepossibilityofageneralpurgeofselfreference |