 for all \(A\) in \(\mathbf{A}\). Degrees of plausibility quantify that part of the agent’s knowledge or belief base which is compatible with \(A\), i.e., the part that supports \(A\) and the part that supports neither \(A\) nor \( \neg A\). Dempster and Shafer call the plausibility of \(A\) its upper probability. Indeed, one can interpret the interval \( [\Bel(A), P(A)]\) as the interval of probabilities that the agent assigns to the proposition \(A\). In our running example, Sophia assigns the interval \([0,1]\) to the proposition that the ancient coin will land heads and \([.5,.5]\) to the proposition that the Euro will land heads. 