Some theorists hold that there is no serious, significant issue concerning cosmopolitanism. They hold that cosmopolitanism is either the anodyne doctrine that we have some duties to distant strangers merely on the ground of shared humanity or the absurd doctrine that we have no special moral duties based on special-ties such as those of friendship, family, and national community. This essay argues against this deflationary position by defending (1) a very extreme cosmopolitan doctrine that denies special-tie moral duties altogether and (...) (2) a slightly milder but still extreme form of cosmopolitanism that allows that there might be special-tie moral duties to intimate associates such as friends and family members but denies that broader social group associations such as those of subjection to a national state or national or ethnic community memberships ever constitute special ties that ground special moral duties. The defense proceeds by rebutting bad arguments leveled against extreme cosmopolitanisms. (shrink)