This article focuses on the semantic content of ‘therefore’-constructions such as ‘this figure is a square, therefore it has four sides’ and ‘there was a fire, therefore we saw smoke’. We argue that the semantic contribution of ‘therefore’ in such constructions is to express a non-symmetric dependence and that this non-symmetric dependence is part of the core semantic content of these constructions, rather than being conveyed by a conventional implicature (cf. Potts 2005) or a triggered presupposition (cf. Pavese 2017, Stokke 2017). We dub our view ‘the non-symmetry view’ and argue that the projection data used to argue against it by Pavese (2017) and Stokke (2017) can in fact be explained in a straightforward way by relying on the linguistic framework developed in Roberts et al. (2009) and Simons et al. (2010). We consider some further objections and conclude that the non-symmetry view is at least as plausible as its contenders and deserves proper consideration.