Preconditionals
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866918131593641984 |
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| author | Holliday, Wesley H. |
| author_facet | Holliday, Wesley H. |
| contents | In recent work, we introduced a new semantics for conditionals, covering a large class of what we call preconditionals. In this paper, we undertake an axiomatic study of preconditionals and subclasses of preconditionals. We then prove that any bounded lattice equipped with a preconditional can be represented by a relational structure, suitably topologized, yielding a single relational semantics for conditional logics normally treated by different semantics, as well as generalizing beyond those semantics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02296 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Preconditionals Holliday, Wesley H. Logic 03B20, 03G10, 06B15, 06B23, 06C15, 06D20 F.4.1 In recent work, we introduced a new semantics for conditionals, covering a large class of what we call preconditionals. In this paper, we undertake an axiomatic study of preconditionals and subclasses of preconditionals. We then prove that any bounded lattice equipped with a preconditional can be represented by a relational structure, suitably topologized, yielding a single relational semantics for conditional logics normally treated by different semantics, as well as generalizing beyond those semantics. |
| title | Preconditionals |
| topic | Logic 03B20, 03G10, 06B15, 06B23, 06C15, 06D20 F.4.1 |
| url | https://arxiv.org/abs/2402.02296 |