About Logically Probable Sentences
The starting point of this paper is the empirically determined ability to reason in natural language by employing probable sentences. A sentence is understood to be logically probable if its schema, expressed as a formula in the language of classical propositional calculus, takes the logical value o...
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| Format: | Article |
| Langue: | English |
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Lodz University Press
2024-04-01
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| Collection: | Bulletin of the Section of Logic |
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| Accès en ligne: | https://czasopisma.uni.lodz.pl/bulletin/article/view/20466 |
| Résumé: | The starting point of this paper is the empirically determined ability to reason in natural language by employing probable sentences. A sentence is understood to be logically probable if its schema, expressed as a formula in the language of classical propositional calculus, takes the logical value of truth for the majority of Boolean valuations, i.e., as a logically probable formula. Then, the formal system P is developed to encode the set of these logically probable formulas. Based on natural semantics, a strong completeness theorem for P is proved. Alternative notions of consequence for logically probable sentences are also considered. |
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| ISSN: | 0138-0680 2449-836X |