"目标之间的矛盾" can be translated into English as "the contradiction between objectives" or "the conflict among goals".
"Contradiction between objectives" emphasizes the opposing or incompatible nature of the objectives.
"Conflict among goals" highlights the clash or inconsistency that arises when trying to achieve multiple goals simultaneously.
Both expressions are commonly used in academic, professional, or everyday contexts to describe situations where different aims or targets cannot be easily reconciled or pursued at the same time.