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EDIT: it may be worthwhile for those interested in answering this question to familiarize themselves with the OP's earlier posts throughout the stackexchange site - e.g. here (now deleted), here, or here - under this and related usernames. I did not check the username ahead of time, or I would not have answered; that said, I've decided to leave this answer ...


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No, they do not partition states of affairs, and not only because compossibility isn't transitive. It is not a binary relation at all: any pair from x, y, z may be compossible, but not the three of them together. For example, take x "being a right triangle", y "being an isosceles triangle", and z " triangle having a 60° angle". Right or isosceles triangles ...


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