Kant’s Philosophy Of Mathematics: Modern Essays (synthese Library) (volume 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.

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 spared 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.

Front Matter....Pages i-x Introduction: Mathematics in Kant’s Critique of Pure Reason....Pages 1-17 Front Matter....Pages 19-19 Kant on the Mathematical Method....Pages 21-42 Kant’s Philosophy of Arithmetic....Pages 43-79 Singular Terms and Intuitions in Kant’s Epistemology....Pages 81-107 Kant and the Foundations of Mathematics....Pages 109-131 Front Matter....Pages 133-133 Arithmetic and the Categories....Pages 135-158 Construction, Schematism, and Imagination....Pages 159-175 Kant’s Theory of Geometry....Pages 177-219 Kant’s View of Geometry: A Partial Defense....Pages 221-243 The Geometry of a Form of Intuition....Pages 245-255 Kant on Space, Empirical Realism and the Foundations of Geometry....Pages 257-291 Kant’s Mathematical Realism....Pages 293-313 Algebra and Intuition....Pages 315-339 Kant’s Transcendental Method and His Theory of Mathematics....Pages 341-359 Back Matter....Pages 361-380