The so-called conjunction paradox has bedeviled modern theorizing about burdens of proof ever since L Jonathan Cohen introduced the paradox some decades ago. Kevin Clermont makes a powerful argument that multivalent logic rather than bivalent logic describes the task that factfinders encounter when they engage in fact-finding in legal proceedings and that, if that's the case, the conjunction paradox disappears. See Kevin Clermont Conjunction of Evidence and Multivalent Logic (July 24, 2014).
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