H. P. Grice's "Circulus Virtuosus"

"Arguing in a circulus virtuosus, or virtuous circle, occurs when justifying, explaining, or proving a statement on the basis of a general theory, philosophy, or world view. 

That system is constructed of a web of mutually logically dependent statements such that the truth of any particular statement is logically derivable from the truth of other statements in the system. 

Whenever such justification is informative, no fallacy occurs since the reasoning fulfills the epistemological or probative function of an argument.

Consequently the soundness of a virtuously circular argument is based on the fact that the conclusion is already known to be true as it follows from other statement in the system of statements.

The truth of premises which support such a theory are supposed to be able to be established by assumption, argument, empirical reference, or pragmatic practice, although these antecedents are not addressed in virtuous circle arguments.

In virtuous circular reasoning, the soundness of the argument is said to be established internally — i.e., it follows logically from other statements. 

The particular inference is rendered informative by the presence of the other statements in the system.

However, in debates between two different world views, each disputant justifies assertions in terms of other statements accepted as true in accordance with their respective views. 

And their disagreement stems from the particular inconsistencies between the corresponding different statements embedded in each respective viewpoint under discussion.

So the resolution of the clash of theoretical differences can only be resolved through some externally justifiable standard — presumably based on some kind of empirical validation.