 One question is how to develop a fruitful model theory for the language of quantified propositional logic and another question is whether there is an intelligible interpretation of the formalism on which propositional quantification is construed as neither singular quantification over propositions nor as substitutional quantification over a range of sentences. One option at this point is to deny again that the interpretation of propositional quantification should be determined by either the model theory for the language or by translation into some fragment of natural language. Indeed, one may adopt the line we mentioned above in connection to second-order quantification. The best method to learn what is meant by a propositional quantifier is through immersion and triangulation with natural language by reflection on the fact that propositional quantifiers stand to sentences as first-order quantifiers stand to singular terms. 