 A Dutch Strategy argument has also been given for the controversial Principle of Reflection, which requires that for any proposition \(A\) and any future time \(t\), an agent’s current probability for \(A\) conditional on later assigning it probability \(r\) is itself \(r\), that is pr \((A\mid \pr_{t}(A) = r) = r\). In violating Reflection, the agent fails to endorse certain of her possible future judgments, which as van Fraassen showed (van Fraassen 1984), opens the door to a Dutch Strategy. If the agent violates Reflection in that \(\pr(A\mid \pr_{t}(A) = r) \gt r\), the bookie sells the following bets: