A countable Boolean algebra that is Reichenbach's common cause complete
Logic
2025-01-27 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2501.14567,
title = {A countable Boolean algebra that is Reichenbach's common cause complete},
author = {Dominika Burešová},
journal= {arXiv preprint arXiv:2501.14567},
year = {2025}
}