Recursion as a working operator
The recursive operator turns a result back into material for another pass. You might ask for an explanation, examine the assumptions in that explanation, then revise the original question in light of them. HLC is interested in this capacity because a conversation can make its own framing available for inspection.
The source notes distinguish simple repetition from a stronger form of self-application. Repeating a request may produce another answer. Examining the rule that produced the answer can change the task itself. In practice the boundary is not always sharp, so it helps to name what changed at each pass: the claim, the evidence, the category, or the evaluation rule.
A useful session might begin with a definition of “public access,” ask what kinds of access the definition excludes, and then test a revised definition against a concrete library service. The revision earns its place by explaining the example better. Merely adding another level of abstraction is not an improvement.
Recursion is one operator among several. Composition combines elements; topological thinking follows changes in relationships; hyperrelation asks for interactions across several dimensions. Switching operators may help more than deepening the same loop.
Give recursive work a stopping condition. Stop when the next pass repeats a distinction already made, when new claims lack new support, or when an artifact is ready for external examination. The companion page on recursive loops explains why a system capable of inspecting itself can also become increasingly persuaded by its own vocabulary.