I. The Philosophical Background
1. What is Conventionalism
2. Linguistic Conventions
II. Revitalizing Logical Conventionalism
3. Unrestricted Logical Inferentialism
4. Logical Conventionalism
5. Alternative Conventions, Alternative Logics
6. The Epistemology of Logic
7. The Very Idea of Truth by Convention
III. Revitalizing Mathematical Conventionalism
8. From Logic to Mathematics
9. Metaontology, Existence, and Reference
10. Mathematical Determinacy
11. Truth, Paradoxes, Freedom, Applications, and Knowledge
12. Metamathematics versus Conventionalism
IV. Reflections
13. Old Slogans, New Dogmas
14. The Facts of the Matter
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.
Philosophers of science, mathematics, and logic, including those
educated to regard conventionalism as an early-20th-century
curiosity, need to add this groundbreaking work to their reading
lists. Summing Up: Essential. Upper-division undergraduates through
faculty.
*L. C. Archie, CHOICE*
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.
*Michael Rescorla, History and Philosophy of Logic*
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