Offers a conspectus of major trends in the philosophy of logic and mathematics.This collection of new essays offers a state-of-the-art conspectus of major trends in the philosophy of logic and philosophy of mathematics. A distinguished group of philosophers addresses issues at the center of contemporary debate: semantic and set-theoretic paradoxes, the set/class distinction, foundations of set theory, mathematical intuition and many others. The volume includes Hilary Putnam's 1995 Alfred Tarski lectures published here for the first time. The essays are presented to honor the work of Charles Parsons.This collection of new essays offers a state-of-the-art conspectus of major trends in the philosophy of logic and philosophy of mathematics. A distinguished group of philosophers addresses issues at the center of contemporary debate: semantic and set-theoretic paradoxes, the set/class distinction, foundations of set theory, mathematical intuition and many others. The volume includes Hilary Putnam's 1995 Alfred Tarski lectures published here for the first time. The essays are presented to honor the work of Charles Parsons.This collection of new essays offers a state-of-the-art conspectus of major trends in the philosophy of logic and philosophy of mathematics. A distinguished group of philosophers addresses issues at the center of contemporary debate: semantic and set-theoretic paradoxes, the set/class distinction, foundations of set theory, mathematical intuition and many others. The volume includes Hilary Putnam's 1995 Alfred Tarski lectures published here for the first time. The essays are presented to honor the work of Charles Parsons.Preface; Part I. Logic: 1. Paradox revisited I: truth; 2. Paradox revisited II: sets - a case of all or none? Hilary Putnam; 3. Truthlike and truthful operators Arnold Koslow; 4. 'Everything' Vann McGee; 5. On second-order logic and natural language James Higginbotham; 6. The logical roots of indeterminacy Gila Sher; 7. The logicló!