The collection of papers presented in this special issue addresses the non-temporal import of aspectual constructions, in conventional and less conventional contexts and expression modes. In this introduction, we outline the notions of lexical and grammatical aspect, and how they are traditionally analyzed in temporal accounts, which focus on situations’ temporal constituency, duration, and limitation in time. This serves to clarify relevant notions for those readers who are less familiar with the domain (admittedly riddled with terminological confusion) and thus explicate some of the underlying tenets of existing (temporal) accounts, which the papers in this special issue call into question. This questioning, alongside insights coming from the discussion of various non-canonical constructions/uses in different languages and from different theoretical perspectives, promises an alternative approach to aspect, which goes beyond time.
