“…1, 5, 28-30). Originally, this general view was built on a number of classical, cytological observations that both enucleated amphibian oocytes and anucleate mouse oocyte fragments undergo MPF activation shortly after release from prophase I arrest (8,(19)(20)(21)(22)(23)(24)(25), and that ''mature'' enucleated oocytes (from many amphibian species) show surface changes and a cortical response (to activation stimuli) that are typical of completely mature oocytes arrested at metaphase II (20,22,23,26,27). Looking into the classical studies (on amphibian oocytes), however, it seems clear that most of the previous workers examined only the initial MPF activation in meiosis I, but not MPF reactivation in meiosis II, in enucleated oocytes, probably because they were unaware of the oscillation in MPF activity during maturation, which was found only in 1984 (6); instead, they took the cortical changes (in mature enucleated oocytes) as indication of the completion of ''meiotic'' maturation (see refs.…”