A fixed-point problem for theories of meaning

Abstract In this paper I argue that it’s impossible for there to be a single universal theory of meaning language. First, will consider some minimal expressiveness requirements language must meet able express semantic claims. Then in order have unified meaning, these satisfied by which the itself applies to. That is, we would need can its own meaning. It has been well-known since Tarski theories whose central notion is truth can’t expressed they apply Here, develop Quine’s formulation Liar Paradox grammatical terms and use extend Tarski’s result all This general version paradox formalised as special case Lawvere Fixed-Point Theorem applied categorial grammar. Taken together with initial arguments, infer conclude brief discussion on what alternatives are available.