 One awkward consequence of this 2D semantic account of ‘Actually’ is the way this operator interacts with the standard modal operator ‘Necessarily’. Intuitively, what the actual world is like seems logically and metaphysically contingent. But according to the proposed semantics for ‘Actually’, any true sentence S will yield a necessary truth when embedded within the scope of the operator ‘\(\mathcal{A}\)’. For instance, consider the following sentence: