In anticipatory governance (AG) and responsible innovation (RI), anticipation is a key theoretical and practical dimension for promoting a more responsible governance of new and emerging sciences and technologies. Yet, anticipation has been subjected to a range of criticisms, such that many now see it as unnecessary for AG and RI. According to Alfred Nordmann, practices engaging with ‘the future’, when performed under certain conditions, may reify the future, diminish our ability to see what is happening, and/or reproduce the illusion of control over the future. Several authors have stressed that these critiques fail to capture the heterogeneous character of anticipatory practices, and yet research on the question of what particular kind of socio-epistemic engagements with ‘the future’ AG and RI aim to enact through anticipation remains fragmentary and their underlying rationale under-theorised. This article aims to advance the theoretical characterisation and problematisation of anticipation as key interventive tools for AG and RI. By distinguishing between four modes of anticipation and heuristically testing them against Nordmann’s critiques, the article argues that despite his assessment failing to recognise the heterogeneity of anticipatory practices considered valuable for AG and RI, it reinforces the relevance of performing certain modes of anticipatory exercises, namely critical-hermeneutic ones. Thus, anticipation continues to be a necessary heuristic dimension for AG and RI. More concretely, the article maintains that such anticipatory heuristics may find their radical constructive and critical-reflective character in the dynamics of inclusive scrutiny and negotiation about the (im)plausibility and (un)desirability of the envisioned or (co-)created futures.