A recursive reduction to an equally undecidable class transfers computational intractability without reduction in logical complexity, making the claim technically correct but epistemically idle as a foundation for proof procedures.

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Computational intractability(as the hidden problem obscured by the label 'decidable'): A situation where a problem is theoretically solvable but practically impossible because it would take an unreasonably long time or too many resources for a computer to actually solve it.
Epistemically idle(in epistemology (the study of knowledge)): Something that is technically correct but doesn't actually help you gain real knowledge or understanding; it doesn't move you forward in solving a problem.
Foundation for proof procedures(in logic and mathematics): A basic principle or method you rely on to logically demonstrate that something is true, like building blocks that support an entire structure of reasoning.
Logical complexity(in logic): A measure of how difficult or involved a logical problem or statement is—roughly, how many steps or rules you need to understand it fully.
Recursive reduction(in logic and computer science): A method where you try to solve a hard problem by breaking it down into smaller versions of the same type of problem, hoping the smaller versions are easier to handle.
undecidable(Derrida's second aporia of justice): Not mere oscillation between two significations, but the experience of what, though foreign to the calculable and the rule, is still obligated; the moment in which a singular case does not fit established codes so that a decision seems impossible yet remains required

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