Contents -- Preface -- Introduction -- Part I: Some Mathematicians as Philosophers -- 1. The Kantian Legacy in Twentieth-Century Foundations of Mathematics -- 2. Realism and the Debate on Impredicativity, 1917-1944 -- Postscript to Essay 2 -- 3. Paul Bernays' Later Philosophy of Mathematics -- 4. Kurt Gödel -- 5. Gödel's "Russell's Mathematical Logic" -- Postscript to Essay 5 -- 6 Quine and Gödel on Analyticity -- Postscript to Essay 6 -- 7. Platonism and Mathematical Intuition in Kurt Gödel's Thought -- Postscript to Essay 7 -- Part II: Contemporaries -- 8. Quine's Nominalism -- 9. Genetic Explanation in The Roots of Reference -- 10. Hao Wang as Philosopher and Interpreter of Gödel -- 11. Putnam on Existence and Ontology -- 12. William Tait's Philosophy of Mathematics -- Bibliography -- Copyright Acknowledgments -- Index.