 How much does LOTH advance the naturalization of intentionality? Our compositional semantics for Mentalese may illuminate how the semantic properties of a complex expression depend upon the semantic properties of primitive expressions, but it says nothing about how primitive expressions get their semantic properties in the first place. Brentano’s challenge (How could intentionality arise from purely physical entities and processes?) remains unanswered. To meet the challenge, we must invoke naturalizing strategies that go well beyond LOTH itself, such as the causal or nomic strategies mentioned above. Those naturalizing strategies are not specifically linked to LOTH and can usually be tailored to semantic properties of neural states rather than semantic properties of Mentalese expressions. Thus, it is debatable how much LOTH ultimately helps us naturalize intentionality. Naturalizing strategies orthogonal to LOTH seem to do the heavy lifting.