In addressing these and other conceivability arguments for haecceitism, anti-haecceitists have two primary lines of defense. According to the first kind of response, the evidential connection between conceivability and possibility is rejected—e.g., by denying that conceivability of the relevant state of affairs is grounds for taking the state of affairs in question to be possible. Responses of this sort reject premises like P3 or P4 and, in doing so, take sides on a key issue in modal epistemology.