Rampant platonism is defined by McDowell as a position that construes:
“picturing the space of reasons as an autonomous structure – autonomous in that it is constituted independently of anything specifically human, since what is specifically human is surely natural” (Mind and World, p. 77).
“Naturalized platonism is quite distinct from rampant platonism. In rampant platonism, the rational structure within which meaning comes into view is independent of anything merely human, so that capacity of our minds to resonate to it looks occult or magical. Naturalized platonism is platonistic in that the structure of the space of reasons has a sort of autonomy; it is not derivative from, or reflective of, truths about human beings that are capturable independently of having that structure in view. But this platonism is not rampant: the structure of the space of reasons is not constituted in splendid isolation from anything merely human. The demands of reason are essentially such that a human bringing can open a human being’s eyes to them.” (Mind and World, p. 92).