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It is not the case that Van Inwagen's theory has not demonstrated the consistency of trinitarianism.
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1.
Van Inwagen's theory remains neutral on the issue of identity, which allows that the three Persons are absolutely non-identical.
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2.
If the three Persons are absolutely non-identical, it is hard to see what it could mean to say they are the same being.
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3.
Any things which are non-identical are not the same being.
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