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It is necessary for coherentism to explain in some detail what it means for a system to be coherent.
At the least, coherence must include logical consistency.
It also usually requires some degree of integration of the various components of the system.
A system that contains more than one unrelated explanation of the same phenomenon is not as coherent as one that uses only one explanation, all other things being equal.
Conversely, a theory that explains divergent phenomena using unrelated explanations is not as coherent as one that uses only one explanation for those divergent phenomena.
These requirements are variations on Occams razor.
The same points can be made more formally using Bayesian statistics.
Finally, the greater the number of phenomena explained by the system, the greater its coherence.

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