 The following example demonstrates that the intuitive idea of using a threshold value such as ½ instead of infinitesimals and to interpret \(\phi \nc \psi\) as \(P(\psi \mid \phi)\) &gt; ½ does not work in a straightforward way. Let \(\alpha\) abbreviate “being a vegan”, \(\beta\) abbreviate “being an environmentalist”, and \(\gamma\) abbreviate “avoiding the use of palm oil”. Further, let our knowledge base comprise the statements “αs are usually βs,” “\((\alpha \wedge \beta)\)s are usually γs”. The following Euler diagram illustrates the conditional probabilities in a possible probability distribution for the given statements. 