I present Searle’s theory of intentionality and defend it against some objections. I then significantly extend his theory by exposing and incorporating an ambiguity in the question as to what an intentional state is about as between a subjective and an objective reading of the question. Searle implicitly relies on this ambiguity while applying his theory to a solution to the problem of substitution in propositional attitudes, but his failure to explicitly accommodate the ambiguity undermines his solution. My extension of his theory succeeds. I also indicate how the new theory can be deployed to resolve other outstanding problems.
