 We have for instance: \(P(\beta \mid \alpha)\) = ¾, \(P(\gamma \mid \alpha \wedge \beta)\) = ⅔ and \(P(\gamma \mid \alpha)\) = ½. Hence, under the proposed reading of \(\nc\), we get \(\alpha \nc \beta\) and \(\alpha \wedge \beta \nc \gamma\) while we do not have \(\alpha \nc \gamma\). This means that Cut is violated. Similarly, it can be shown that other properties such as Or are violated under this reading (e.g.,  Pearl 1988).  