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John Mackay, Explaining the Actuality Operator Away, The Philosophical Quarterly, Volume 67, Issue 269, October 2017, Pages 709–21, https://doi.org/10.1093/pq/pqx006
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Abstract
I argue that ‘actually’ does not have a reading according to which it is synonymous with the actuality operator of modal logic, and propose an alternative account of ‘actually’. The cases that have been thought to show that ‘actually’ is synonymous with the actuality operator are modal and counterfactual sentences in which an embedded clause's evaluation is held fixed at the world of the context. In these cases, though, this embedded clause's evaluation is not due to the presence of ‘actually’. As an alternative, I propose that ‘actually’ is a presupposition trigger along the lines of ‘even’ or ‘too’, and it signals that presupposed information states in the discourse are evolving in a non-standard way.