 However, Adams came to realize that his 1974 definition did not properly reflect strict actualist principles and subsequently (1981) offered a more subtle  definition.[84]  According to strict actualism, no singular propositions are in any sense “about” mere possibilia and, hence, there are no such propositions in the actual world, i.e., the true world story. For Adams, possible worlds generally ought to reflect this fact about the actual world. That is, following Prior, a singular proposition \(p\) about some (actually existing) individuals \(a_1,\ldots,a_n\) should be true in a world \(w\) only if those individuals—hence, \(p\) itself—would have existed if \(w\) had obtained. As Prior would put it: a proposition can be true in a world \(w\) only if is statable in \(w\). Thus, just as there are in the actual world no singular propositions about individuals that could have existed but do not, likewise, in every other world \(w\) there should be no singular propositions about (actual) individuals that would not have existed had \(w\) obtained. To reflect this in his conception of worlds, Adams alters his definition so that a set \(S\) of propositions is a world only if it could be be maximal with respect to the actually existing propositions that would exist if it obtained. As Adams puts it: