What is the source of logical and mathematical truth? This book revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. Shadows of Syntax is the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. It (...) argues that our conventions, in the form of syntactic rules of language use, are perfectly suited to explain the truth, necessity, and a priority of logical and mathematical claims, as well as our logical and mathematical knowledge. (shrink)

According to linguistic conventionalism, necessities are to be explained in terms of the conventionally adopted rules that govern the use of linguistic expressions. A number of influential arguments against this view concerns the ‘Truth-Contrast Thesis’. This is the claim that necessary truths are fundamentally different from contingent ones since they are not made true by ‘the facts’. Instead, they are supposed to be something like ‘true in virtue of meaning’. This thesis is widely held to be a core commitment of (...) the conventionalist position, and the view is frequently rejected on the grounds that this thesis is untenable. I argue that this line of reasoning is mistaken. While the thesis should be rejected, it is not, I argue, entailed by linguistic conventionalism – nor was it invariably accepted by the paradigmatic conventionalists. (shrink)

The positivists defined analyticity as truth in virtue of meaning alone and advocated the view that the notion of analyticity so defined is co-extensive with both the notion of an a priori truth an...