Classification and deontic explosion for contrary-to-duty obligations
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908978419597312 |
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| author | Kjos-Hanssen, Bjørn |
| author_facet | Kjos-Hanssen, Bjørn |
| contents | Carmo and Jones have presented a sequence of candidate axiom systems for conditional obligation between 1997 and 2022. For their most recent system we demonstrate a limited form of deontic explosion: given that a student does not get the highest possible grade on a test, any other passing grade is acceptable.
In addition to that negative result, we give a positive one: revisiting the strongest version of Carmo and Jones' 1997 system, we provide a surprising classification of all satisfying models in terms of a single forbidden possible world. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17703 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classification and deontic explosion for contrary-to-duty obligations Kjos-Hanssen, Bjørn Logic Logic in Computer Science 03B45 Carmo and Jones have presented a sequence of candidate axiom systems for conditional obligation between 1997 and 2022. For their most recent system we demonstrate a limited form of deontic explosion: given that a student does not get the highest possible grade on a test, any other passing grade is acceptable. In addition to that negative result, we give a positive one: revisiting the strongest version of Carmo and Jones' 1997 system, we provide a surprising classification of all satisfying models in terms of a single forbidden possible world. |
| title | Classification and deontic explosion for contrary-to-duty obligations |
| topic | Logic Logic in Computer Science 03B45 |
| url | https://arxiv.org/abs/2604.17703 |