According to anti-haecceitism, there are no haecceitistic differences between maximal possibilities. Anti-haecceitism therefore holds that the world could not be haecceitistically different without being qualitatively different. So, for anti-haecceitists, the alternative history of the world described above is not possible nor are there are distinct maximal possibilities that differ solely in terms of individuals “swapping” their qualitative roles or being “replaced” by non-actual individuals.