This research concerns with the demarcation problem which was proposedby the Anglo-Saxon philosophy of science in the twentieth century. Astrology asa case study is relevant to enrich this debate and to reveal its dificulties sincevarious philosophers of science as Popper, Kuhn, Feyerabend, Thagard, andLaudan have used astrology as an example to account for demarcation problemor to question it. Therefore the goal of this dissertation is to clarify a little bitmore the problem of distinguishing science from non-science, in particular thecase of astrology, and to examine the pertinence of this discussion in the currentcontext of the science studies. This survey is inserted into the contemporaryepistemological dialogue and it intends to contribute to a better understanding ofwhat is science and which are your frontiers, as well to give a more precise andless prejudicing view of astrology.