Kants Philosophy of Mathematics: Modern Essays (Synthese Library, 219)

Kant's Views About Mathematics Were Controversial In His Own Time, And They Have Inspired Or Infuriated Thinkers Ever Since. Though Specific Kantian Doctrines Fell Into Disrepute Earlier In This Century, The Past Twenty-five Years Have Seen A Surge Of Interest In And Respect For Kant's Philosophy Of Mathematics Among Both Kant Scholars And Philosophers Of Mathematics. The Present Volume Includes The Classic Papers From The 1960s And 1970s Which Sparked This Renaissance Of Interest, Together With Updated Postscripts By Their Authors. It Also Includes The Most Important Recent Work On Kant's Philosophy Of Mathematics. The Essays Bring To Bear A Wealth Of Detailed Kantian Scholarship, Together With Powerful New Interpretative Tools Drawn From Modern Mathematics, Logic And Philosophy. The Cumulative Effect Of This Collection Upon The Reader Will Be A Deeper Understanding Of The Centrality Of Mathematics In All Aspects Of Kant's Thought And A Renewed Respect For The Power Of Kant's Thinking About Mathematics. The Essays Contained In This Volume Will Set The Agenda For Further Work On Kant's Philosophy Of Mathematics For Some Time To Come.--book Jacket. Introduction: Mathematics In Kant's Critique Of Pure Reason / Carl J. Posy -- I. Classic Papers Of The 1960's And 1970's -- Kant On The Mathematical Method / Jaakko Hintikka -- Kant's Philosophy Of Arithmetic / Charles Parsons -- Singular Terms And Intuitions In Kant's Epistemology / Manley Thompson -- Kant And The Foundations Of Mathematics / Philip Kitcher -- Ii. Recent Work -- Arithmetic And The Categories / Charles Parsons -- Construction, Schematism And Imagination / J. Michael Young -- Kant's Theory Of Geometry / Michael Friedman -- Kant's View Of Geometry: A Partial Defense / Stephen Barker -- The Geometry Of A Form Of Intuition / Arthur Melnick -- Kant On Space, Empirical Realism, And The Foundations Of Geometry / William Harper -- Kant's Mathematical Realism / Carl J. Posy -- Algebra And Intuition / Gordon G. Brittan, Jr. -- Kant's Transcendental Method And His Theory Of Mathematics / Jaakko Hintikka. Edited By Carl J. Posy. Includes Bibliographical References And Index. Title ......Page 2 Copyright ......Page 3 Contents ......Page 4 Preface ......Page 6 Acknowledgments ......Page 8 CARL J. POSY — Introduction: Mathematics in Kant's Critique of Pure Reason ......Page 10 I. CLASSIC PAPERS OF THE I960'S AND 1970'S ......Page 28 JAAKKO HINTIKKA — Kant on the Mathematical Method ......Page 30 CHARLES PARSONS — Kant's Philosophy of Arithmetic ......Page 52 — Postscript ......Page 78 MANLEY THOMPSON — Singular Terms and Intuitions in Kant's Epistemology ......Page 90 — Postscript ......Page 111 PHILIP KITCHER — Kant and the Foundations of Mathematics ......Page 118 II. RECENT WORK ......Page 142 CHARLES PARSONS — Arithmetic and the Categories ......Page 144 J. MICHAEL YOUNG — Construction, Schematism and Imagination ......Page 168 MICHAEL FRIEDMAN — Kant's Theory of Geometry ......Page 186 STEPHEN BARKER — Kant's View of Geometry: a Partial Defense ......Page 230 ARTHUR MELNICK — The Geometry of a Form of Intuition ......Page 254 WILLIAM HARPER — Kant on Space, Empirical Realism, and the Foundations of Geometry ......Page 266 CARL J. POSY — Kant's Mathematical Realism ......Page 302 GORDON G. BRITTAN, JR. — Algebra and Intuition ......Page 324 JAAKKO HINTIKKA — Kant's Transcendental Method and His Theory of Mathematics ......Page 350 Contributors ......Page 370 Index ......Page 372