   Chisholm’s criterion of intensionality is threefold. First, a sentence reports an intentional phenomenon if it contains a singular term that purports to refer to some object and it is such that neither it nor its negation implies that the purported reference of the singular term does or does not exist. The first criterion amounts to the recognition that if a sentence containing a singular term reports an intentional phenomenon, then it fails to satisfy the law of existential generalization (from ‘Fa’ infer ‘∃xFx’). Secondly, a true sentence reports an intentional phenomenon if it contains a singular term ‘a’ and if replacement of ‘a’ by coreferential term ‘b’ results in transforming the true sentence into a false sentence that differs only from the former in that ‘b’ replaces ‘a’. The second criterion amounts to recognition that if a sentence containing a singular term reports an intentional phenomenon, then it fails the test of the substitutivity of coreferential terms salva veritate. Finally, if a complex sentence containing an embedded ‘that’-clause reports an intentional phenomenon, then neither it nor its negation entail the truth of the proposition expressed by the embedded ‘that’-clause.