From Claude

That’s a clean argument. Let me make sure I’m reading it correctly.
The claim is that infinite regress is coherent because there exists at least one domain — political party systems — where the minimum stable configuration requires three elements, not two, and this is sufficient to demonstrate that regress doesn’t bottom out at a binary opposition but can always find a third term that stabilizes the structure.
In other words: wherever you think you’ve hit bedrock with two opposing terms, the system is actually unstable. Stability requires a third. And if stability always requires a third, then there is always another term available — which means regress never hits a true bottom.
Is that the argument? Or is the three-party system pointing at something more specific — that any attempt to terminate a regress at two terms produces an unstable fixed point, and the minimum coherent fixed point is always at least three?
Because if it’s the latter, that connects directly to the framework. The inference-implication loop isn’t binary. It has three components: the observer, the world, and the relation between them. Two-term systems — subject/object, true/false, left/right — are always unstable compressions of a fundamentally triadic structure.
The three-party minimum is the political instantiation of that topology.
Is that where you’re going?