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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.00158 |
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| _version_ | 1866916341883076608 |
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| author | Wu, Chai Wah |
| author_facet | Wu, Chai Wah |
| contents | We study the square of opposition and its various geometric generalizations from an algebraic viewpoint. In particular, we show how the various shapes of oppositions can be framed under an algebraic framework and we illustrate this approach with algebraic structures beyond the traditional logical structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00158 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diagrams of opposition: an algebraic viewpoint Wu, Chai Wah Logic 03A05, 03G05, 06A06 We study the square of opposition and its various geometric generalizations from an algebraic viewpoint. In particular, we show how the various shapes of oppositions can be framed under an algebraic framework and we illustrate this approach with algebraic structures beyond the traditional logical structures. |
| title | Diagrams of opposition: an algebraic viewpoint |
| topic | Logic 03A05, 03G05, 06A06 |
| url | https://arxiv.org/abs/2408.00158 |