Description
Book SynopsisThis book examines positions that challenge the Fregean logic-first view. It raises critical
questions about logic by examining various ways in which logic may be entangled with mathematics and metaphysics.
Is logic topic-neutral and general? Can we take the application of logic for granted? This book suggests that we should not be dogmatic about logic but ask similar critical questions about logic as those Kant raised about metaphysics and mathematics. It challenges the Fregean logic-first view according to which logic is fundamental and hence independent of any extra-logical considerations. Whereas Quine assimilated logic and mathematics to the theoretical parts of empirical science, the present volume explores views that stop short of his thoroughgoing holism but instead take logic to be answerable to or entangled with some particular disciplines. The contributions provide views that assign primacy to mathematical reasons, Kantian metaphysical grounds, Husserlian tran
Table of Contents
Introduction to “Critical Views of Logic” 1. Infinity and a Critical View of Logic 2. Dummett’s objection to the ontological route to intuitionistic logic: a rejoinder 3. The entanglement of logic and set theory, constructively 4. Critical Plural Logic 5. Kant on the possibilities of mathematics and the scope and limits of logic 6. The infinite, the indefinite and the critical turn: Kant via Kripke models 7. Husserl on Kant and the critical view of logic 8. Logical pluralism and normativity 9. Disagreement about logic
