> “The writers of the epistles seem to intend them to churches that are already going concerns.”
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Yes, as they were obviously continuation of synogogues that had been going for probably over a century. They needed instruction, and clarification, which Paul in particular gave them in great detail.
They had already received the faith and were established — the epistles encourage and correct and elaborate on the faith already received, but they don’t lay it out from scratch.
Not so obvious since they were letters to Gentiles and not Jews.