Rats were prepared with serial injuries to the neocortex. Their postoperative performance of a learned task, when measured after each procedure, confirmed two predictions from a quantitative theory that the neocortex is equipotentially involved in remembering of memories.The mammalian neocortex is a highly differentiated organ. Its various subregions have been shown to be involved in the performance of different kinds of functions . However, the study we describe in this report completes what we believe to be a proof of the existence of an equipotential function of the cortex in remembering (Cloud, .The study assessed the performances, by rats, of a brightness-discrimination problem. Male Long-Evans hooded rats, 3 months of age, were used. The animals were first trained, with shock avoidance as the motive, to exit from a choice compartment by selecting a white door instead of a black door. Then they were prepared, by the pia-stripping method, with an injury to a posterior quadrant of the cortex, that is, of all of the cortex that lies posterior to bregma and between the rhinal and the longitudinal fissures. Then, after 12 days' recovery from surgery, they were given retraining on the problem and, after having reached the preoperative criterion of performance, were subjected to second-stage injuries that destroyed both anterior quadrants of the cortex. Then they were retrained on the problem once again; after completion of that final phase, their brains were removed and reconstructed through the use of Nissl methods. The behavioral, surgical, and histological procedures were described in detail in D. R. Meyer and P. M. Meyer (1977).The question was whether we could accurately predict the number of trials the subjects would require to relearn and re-relearn the problem. We have previously observed that if trained with our procedures, a rat with an injury to a quadrant of the cortex will relearn the problem in 8.5± 1 mean trials. It does not matter whether the injury is anterior or posterior, even though the problem is a This work was supported by a grant in aid from the Donald Jansen Fund of The Ohio State University. Requests for reprints should be sent to Donald R. Meyer,