Accepting a claim as true, and believing it is true. Is the same thing, yes.
Belief by definition is accepting something as true.
English
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Depending on the context. If you would have read properly, you would have understood to begin with. "Accepted the possibility." Nowhere in that sentence does it insinuate belief.
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I know what you said.. What I said still remains. You reject it until you are given reason to accept it. But I'm done..
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Look, I know where your trying to get at, I just think your not using the right words. Sorry if I offended you.