Explanation:

- Whether postmodernity exists: There is debate about whether postmodernity represents a distinct era following modernity, characterized by skepticism towards grand narratives and objectivity.

- Whether postmodern theory is desirable: Opinions vary on whether postmodern theory, with its emphasis on deconstruction and relativism, is beneficial for society or cultural understanding.

- Whether postmodernity exists: This statement is identical to option 1, reiterating the uncertainty around postmodernity as a concept or historical period.

- All of the above: Encompasses all the previous points, acknowledging the debates over both the existence and desirability of postmodernity.

All of the above is correct.