AbstractCritical cosmopolitan orientation has usually been embedded in a non-geocentric physical (NGP) cosmology that locates the human drama on the surface of planet Earth within wide scales of time and space. Although neither a necessary nor a sufficient condition for critical cosmopolitanism, NGP cosmology provides a contrast to the underpinnings of centric cosmologies, such as those of Aristotle, which see the world as revolving around a particular observer, theorist and/or communal identity. NGP cosmology makes it plausible to envisage all humans as part of the same species. The connection works also through homology and analogy. An astronomic theory can be isomorphic with an ethico-political theory, that is, a structure-preserving mapping from one to the other is possible. Key cosmopolitan theorists have situated morality within a cosmic framework. However, the ethico-political implications of the NGP cosmology are ambiguous. Nietzsche was among the first to articulate its sceptical and nihilist implications. Various reactions have encouraged territorial nationalism and geopolitics. I suggest that critical cosmopolitical orientation should now be grounded on the notion of cosmic evolution, which is not only contextual, historical, pluralist and open-ended but also suggests that humanity is not a mere accident of the cosmos.