Conventionalism about mathematics claims the same for mathematical truth. Conventionalism was popular among the logical positivists, with Carnap...His outstanding new book, Shadows of Syntax, builds upon these articles to provide the most sophisticated development of the conventionalist viewpoint that I have seen. Warren wrestles throughout with Quine's criticisms, contending that they are not nearly as powerful as is commonly supposed. Written in lucid,
vibrant prose, this consistently gripping book offers numerous meaty arguments and ingenious gambits that merit sustained reflection...Shadows of Syntax is one of the most thought-provoking books that I have read in a long time. You should grapple with it yourself. You may come away more persuaded than I was.
You will surely find it stimulating.
Jared Warren is Assistant Professor of philosophy at Stanford University. He has published papers in metaphysics, epistemology, mind and language, metaphilosophy, and the philosophy of logic and mathematics.