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If A *is* A, it can't also be B, unless of course everything is one, in which case it makes no sense to name A and B.
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Let's tighten up here :
If A *is* A, it can't also be B, unless of course they map exactly onto each other, in which case it makes no sense to name separately A and B --- except if A and B are terms from different realms of discourse --- which "truth" and "beauty" (as of a summer's day) certainly are.