Following Aristotle (who himself was following Parmenides), philosophers have appealed to the distributional reflexes of expressions in determining their semantic status, and ultimately, the nature of the extra-linguistic world. This methodology has been practiced throughout the history of philosophy; it was clarified and made popular by the likes of Zeno Vendler and J.L. Austin, and is realized today in the toolbox of linguistically minded philosophers. Studying the syntax of natural language was fueled by the belief that there is a conceptually tight connection between the syntax of our language and its semantics, and the belief that there is a similarly tight connection between the semantics of our language and metaphysical facts about the world. We are less confident than our colleagues about the relation syntax has to semantics and metaphysics. In particular, we do not believe that the current status of theoretical syntax (or semantics or metaphysics) provides much support for either of the above two beliefs. We will illustrate our view with a case study regarding the status of complex demonstratives. We will show that a recent and particularly subtle syntactically based argument for the semantic/metaphysical status of complex demonstratives does not in fact show what semantic category complex demonstratives are...