Philosophy of Mathematics: Selected Writings

Contents

Contents Preface / vii Introduction / xv 1. [The Nature of Mathematics] (1895) 1 2. The Regenerated Logic (1896) 11 3. The Logic of Mathematics in Relation to Education (1898) 15 4. The Simplest Mathematics (1902) 23 5. The Essence of Reasoning (1893) 37 6. New Elements of Geometry (1894) 39 7. On the Logic of Quantity (1895) 43 8. Sketch of Dichotomic Mathematics (1903) 57 9. [Pragmatism and Mathematics] (1903) 67 10. Prolegomena to an Apology for Pragmaticism (1906) 79 11. [‘Collection’ in The Century Dictionary] (1888–1914) 85 12. [On Collections and Substantive Possibility] (1903) 89 13. [The Ontology of Collections] (1903) 99 14. The Logic of Quantity (1893) 107 15. Recreations in Reasoning (1897) 113 16. Topical Geometry (1904) 119 Beings of Reason.book Page v Wednesday, June 2, 2010 6:06 PM vi | Contents 17. A Geometrico-Logical Discussion (1906) 129 18. [‘Continuity’ in The Century Dictionary] (1888–1914) 135 19. The Law of Mind (1892) 141 20. [Scientific Fallibilism] (1893) 155 21. On Quantity [The Continuity of Time and Space] (1896) 159 22. Detached Ideas Continued and the Dispute between Nominalists and Realists (1898) 165 23. The Logic of Continuity (1898) 179 24. [On Multitudes] (1897) 189 25. Infinitesimals (1900) 201 26. The Bed-Rock beneath Pragmaticism (1905) 207 27. [Note and Addendum on Continuity] (1908) 211 28. Addition [on Continuity] (1908) 217 29. Supplement [on Continuity] (1908) 221 Notes / 227 Bibliography / 263 Index / 281 Beings of Reason.book Page vi Wednesday, June 2, 2010 6:06 PM ...