Supervaluationism and good reasoning
This paper is a tribute to Delia Graff Fara. It extends her work on failures of meta-rules (conditional proof, RAA, contraposition, disjunction elimination) for validity as truth-preservation under a supervaluationist identification of truth with supertruth. She showed that such failures occur even...
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| Format: | Journal article |
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University of the Basque Country
2018
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| _version_ | 1797088553683910656 |
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| author | Williamson, T |
| author_facet | Williamson, T |
| author_sort | Williamson, T |
| collection | OXFORD |
| description | This paper is a tribute to Delia Graff Fara. It extends her work on failures of meta-rules (conditional proof, RAA, contraposition, disjunction elimination) for validity as truth-preservation under a supervaluationist identification of truth with supertruth. She showed that such failures occur even in languages without special vagueness-related operators, for standards of deductive reasoning as materially rather than purely logically good, depending on a context-dependent background. This paper extends her argument to: quantifier meta-rules like existential elimination; ambiguity; deliberately vague standard mathematical notation. Supervaluationist attempts to qualify the meta-rules impose unreasonable cognitive demands on reasoning and underestimate her challenge. |
| first_indexed | 2024-03-07T02:51:43Z |
| format | Journal article |
| id | oxford-uuid:ade6f023-433f-4f7e-a651-94a438985f5f |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:51:43Z |
| publishDate | 2018 |
| publisher | University of the Basque Country |
| record_format | dspace |
| spelling | oxford-uuid:ade6f023-433f-4f7e-a651-94a438985f5f2022-03-27T03:38:59ZSupervaluationism and good reasoningJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ade6f023-433f-4f7e-a651-94a438985f5fSymplectic Elements at OxfordUniversity of the Basque Country2018Williamson, TThis paper is a tribute to Delia Graff Fara. It extends her work on failures of meta-rules (conditional proof, RAA, contraposition, disjunction elimination) for validity as truth-preservation under a supervaluationist identification of truth with supertruth. She showed that such failures occur even in languages without special vagueness-related operators, for standards of deductive reasoning as materially rather than purely logically good, depending on a context-dependent background. This paper extends her argument to: quantifier meta-rules like existential elimination; ambiguity; deliberately vague standard mathematical notation. Supervaluationist attempts to qualify the meta-rules impose unreasonable cognitive demands on reasoning and underestimate her challenge. |
| spellingShingle | Williamson, T Supervaluationism and good reasoning |
| title | Supervaluationism and good reasoning |
| title_full | Supervaluationism and good reasoning |
| title_fullStr | Supervaluationism and good reasoning |
| title_full_unstemmed | Supervaluationism and good reasoning |
| title_short | Supervaluationism and good reasoning |
| title_sort | supervaluationism and good reasoning |
| work_keys_str_mv | AT williamsont supervaluationismandgoodreasoning |