There are objective-oriented theories of coherence as well, predominately in my own work. See: https://www.quora.com/What-is-categorical-deduction/answer/Nathan-Coppedge
You will also find that Wikipedia on coherence does not support the idea that it concerns subjectivity or relativism.
The real question is, ironically, whether coherentism has a rational foundation without an empirical one, which is one reason I agree with the older notion that coherentism is opposed to correspondence theory rather than foundationalism.
Recently, correspondence theory has been dominating in academia for strange reasons, and people are beginning to assume that coherentism is a form of correspondence theory. But that is not very true.
My theory relies on the idea of exclusive categories that are accurate relative to the ability to construct knowledge. This is not relativism in any traditional sense.
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