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arXiv · 2501.14567

A countable Boolean algebra that is Reichenbach's common cause complete

Dominika Burešová
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Abstract

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.

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Dominika Burešová. 2025-01-24. A countable Boolean algebra that is Reichenbach's common cause complete. https://arxiv.org/abs/2501.14567

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