According to philosophical orthodoxy, there are informative criteria of identity over time. Anti-criterialism rejects this orthodoxy and claims that there are no such criteria. This paper examines anti-criterialism in the light of recent attacks on the thesis by Matt Duncan, Sydney Shoemaker and Dean Zimmerman. It is argued that those attacks are not successful. Along the way, a novel strategy to defend anti-criterialism against the critics’ most challenging objection is developed. Under-appreciated difficulties for criterialism are also raised which, I claim, (...) there is no obvious way to solve. It is concluded that anti-criterialism may be a much stronger rival to criterialism than is often supposed. (shrink)