I advance a pragmatic account of begging the question according to which a use of an argument begs the question just in case it is used as a statement of inference and it fails to state an inference the arguer or an addressee can perform given what they explicitly believe. Accordingly, what begs questions are uses of arguments as statements of inference, and the root cause of begging the question is an argument’s failure to state an inference performable by the (...) reasoners the arguer targets. In these ways, my account is distinguished from other pragmatic accounts. By taking the defect of a question-begging use of an argument to be its failure to state its purported inference, my account highlights in a unique way why question-begging is not an epistemic defect, and why it is not a fallacy, understood as a mistake in reasoning. These points have been made elsewhere, but I believe that their plausibility is enhanced by considering begging the question as nullifying the role of an argument as a statement of inference. Since question-begging uses of arguments fail to state their purported inferences, using an argument in a question-begging-way is not a ratiocinative mistake. This undermines accounts of begging the question that adopt an epistemic approach. (shrink)

What is logical relevance? Anderson and Belnap say that the “modern classical tradition [,] stemming from Frege and Whitehead-Russell, gave no consideration whatsoever to the classical notion of relevance.” But just what is this classical notion? I argue that the relevance tradition is implicitly most deeply concerned with the containment of truth-grounds, less deeply with the containment of classes, and least of all with variable sharing in the Anderson–Belnap manner. Thus modern classical logicians such as Peirce, Frege, Russell, Wittgenstein, and (...) Quine are implicit relevantists on the deepest level. In showing this, I reunite two fields of logic which, strangely from the traditional point of view, have become basically separated from each other: relevance logic and diagram logic. I argue that there are two main concepts of relevance, intensional and extensional. The first is that of the relevantists, who overlook the presence of the second in modern classical logic. The second is the concept of truth-ground containment as following from in Wittgenstein’s Tractatus. I show that this second concept belongs to the diagram tradition of showing that the premisses contain the conclusion by the fact that the conclusion is diagrammed in the very act of diagramming the premisses. I argue that the extensional concept is primary, with at least five usable modern classical filters or constraints and indefinitely many secondary intensional filters or constraints. For the extensional concept is the genus of deductive relevance, and the filters define species. Also following the Tractatus, deductive relevance, or full truth-ground containment, is the limit of inductive relevance, or partial truth-ground containment. Purely extensional inductive or partial relevance has its filters or species too. Thus extensional relevance is more properly a universal concept of relevance or summum genus with modern classical deductive logic, relevantist deductive logic, and inductive logic as its three main domains. (shrink)