A clear, for instance, has complete recall of everything which has ever happened to him or anything he has ever studied. He does mental computations, such as those of chess, for example, which a normal would do in a half an hour, in ten or fifteen seconds. He does not think "vocally" but spontaneously. There are no demon circuits in his mind except those which it might amuse him to set up -- and break down again -- to care for various approaches to living. He is entirely self-determined. And his creative imagination is high. He can do a swift study of anything within his intellectual capacity, which is inherent, and the study would be the equivalent to him of a year or two of training when he was "normal." His vigor, persistence and tenacity to life are very much higher than anyone has thought possible. L. Ron Hubbard Dianetics: The Modern Science of Mental Health 1950
Today Scientology says about the state of Clear
Clear: a highly desirable state for the individual, achieved through auditing, which was never attainable before Dianetics. A Clear is a person who no longer has his own reactive mind and therefore suffers none of the ill effects that the reactive mind can cause. The Clear has no engrams which, when restimulated, throw out the correctness of his computations by entering hidden and false data.