Sure, within a fixed framework, we get convergence, even when using different methods. But this is possible because concepts like “the radius of the chord” are already agreed on. The paradox isn’t about not knowing which method generated the chord, it’s that the question itself is underspecified and can’t be fixed without making a choice (introducing contingency) because we lack access to a view from nowhere to adjudicate it.
Sure, within a fixed framework, we get convergence, even when using different methods. But this is possible because concepts like “the radius of the chord” are already agreed on. The paradox isn’t about not knowing which method generated the chord, it’s that the question itself is underspecified and can’t be fixed without making a choice (introducing contingency) because we lack access to a view from nowhere to adjudicate it.