▁be ▁true , ▁i . e . ▁it ▁“ could ▁possibly ▁be ▁the ▁true ▁state ▁of ▁the ▁system ” ▁up ▁to ▁that ▁value , ▁because ▁there ▁is ▁only ▁so ▁much ▁evidence ▁that ▁contradict s ▁that ▁hypothesis . ▁ ▁Pla us ibility ▁( den oted ▁by ▁Pl ) ▁is ▁defined ▁to ▁be ▁Pl ( p )   =   1   −   Bel ( ~ p ). ▁ ▁It ▁also ▁ranges ▁from ▁ 0 ▁to ▁ 1 ▁and ▁measures ▁the ▁extent ▁to ▁which ▁evidence ▁in ▁favor ▁of ▁~ p ▁leaves ▁room ▁for ▁belief ▁in ▁p . ▁ ▁For ▁example , ▁suppose ▁we ▁have ▁a ▁belief ▁of ▁ 0 . 5 ▁and ▁a ▁pla us ibility ▁of ▁ 0 . 8 ▁for ▁a ▁proposition , ▁say ▁“ the ▁cat ▁in ▁the ▁box ▁is ▁dead .” ▁This ▁means ▁that ▁we ▁have ▁evidence ▁that ▁allows ▁us ▁to ▁state ▁strongly ▁that ▁the ▁proposition ▁is ▁true ▁with ▁a ▁confidence ▁of ▁ 0 . 5 . ▁However , ▁the ▁evidence ▁contrary ▁to ▁that ▁hypothesis ▁( i . e . ▁“ the ▁cat ▁is ▁alive ” ) ▁only ▁has ▁a ▁confidence ▁of ▁ 0 . 2 . ▁The ▁remaining ▁mass ▁of ▁ 0 . 3 ▁( the ▁gap ▁between ▁the ▁ 0 . 5 ▁supporting ▁evidence ▁on ▁the ▁one ▁hand , ▁and ▁the ▁ 0 . 2 ▁contrary ▁evidence ▁on ▁the ▁other ) ▁is ▁“ ind et erm inate ,” ▁meaning ▁that ▁the ▁cat ▁could ▁either ▁be ▁dead ▁or ▁alive . ▁ ▁This ▁interval ▁represents ▁the ▁level ▁of ▁uncertainty ▁based