 We should note that we only highlight a few of the philosophical aspects of logical consequence, leaving out almost all technical details, and also leaving out a large number of philosophical debates about the topic. Our rationale for doing as much is that one will get the technical details, and the particular philosophical issues that motivated them, from looking at specific logics—specific theories of logical consequence (e.g., relevant logics, substructural logics, non-monotonic logics, dynamic logics, modal logics, theories of quantification, and so on). (Moreover, debates about almost any feature of language—structure versus form of sentences, propositions, context sensitivity, meaning, even truth—are relevant to debates about logical consequence, making an exhaustive discussion practically impossible.) Our aim here is simply to touch on a few of the very basic issues that are central to logical consequence.