  The approaches to Curry’s paradox just distinguished   find fault with different inferences and sub-conclusions of  the informal paradoxical argument in   section 1.1.  A strongly contraction-free response corresponds to blocking step (3) of that argument, since it rejects MP′.  A weakly contraction-free response instead blocks step (4), since it rejects CP. Neither kind of detachment-free response will accept the reasoning in step (3). Since they accept Cont, detachment-free responses allow us to derive the conclusion of (4), whence weakly detachment-free responses further allow us to derive the conclusion of (3) by CCP.  However, both kinds of detachment-free response find fault with the final move by MP to (6).