Originally Posted by Anno_Domini
But TDKR also wrote its own rules after the ending of TDK and wasn't the logical continuation. While the whole story was about Bruce Wayne trying to find himself outside of the cape and cowl, he did put his life into it and this love of his life at the time has been destroyed. His life outside the cape and cowl were literally taken away from him so he could have very well died as the man he became, the Batman.
I would say every movie sets a new goal , that builds upon what has happened. The important thing was him being able to choose to live on.