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请教下文中短语be committed to的意思

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请教下文中短语be committed to的意思
The properties version of the contradiction--a natural extension of the classes or sets version--raised serious doubts about whether one can be committed to objective existence of a property or universal corresponding to every specifiable condition or predicate.
这是有关罗素悖论的一段讲述,大家不必注重其具体内容,能说清楚这里的commit是什么意思即可,
再看以下这句,好象与大家所说的不是很相符:
We need a theory of reference that renders the sentence 'Polar bears are white' meaningful and true and the sentence 'Unicorns are black' meaningful and false,and yet does not commit us to the existence of unicorns.
直译是把……交托给……
我想在这句中应是“依赖,依附于”的意思.
whether one can be committed to objective existence 是否一个人可以依赖于客观存在……