A countable Boolean algebra that is Reichenbach's common cause complete
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910798344880128 |
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| author | Burešová, Dominika |
| author_facet | Burešová, Dominika |
| contents | The common cause completeness (CCC) is a philosophical principle that asserts that if we consider two positively correlated events then it evokes a common cause. The principle is due to H. Reichenbach and has been largely studied in Boolean algebras and elsewhere.The results published so far bring about a question whether there is a small (countable) Boolean algebra with CCC. In this note we construct such an example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14567 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A countable Boolean algebra that is Reichenbach's common cause complete Burešová, Dominika Logic Mathematical Physics 06C15, 81P05, 81P10 The common cause completeness (CCC) is a philosophical principle that asserts that if we consider two positively correlated events then it evokes a common cause. The principle is due to H. Reichenbach and has been largely studied in Boolean algebras and elsewhere.The results published so far bring about a question whether there is a small (countable) Boolean algebra with CCC. In this note we construct such an example. |
| title | A countable Boolean algebra that is Reichenbach's common cause complete |
| topic | Logic Mathematical Physics 06C15, 81P05, 81P10 |
| url | https://arxiv.org/abs/2501.14567 |