Philosophy of Mathematics

"Focuses on the major writings Peirce produced that are of greatest significance for a correct appreciation of his larger philosophical agenda." -Joseph W. Dauben, City University of New York "Moore has... done an excellent job of bringing the most significant of Peirce's writings on mathematics into focus, as well as linking them to the larger project of Peirce's pragmatic philosophy." -Notre Dame Philosophical Reviews, 8/30/2011 "Moore is to be congratulated on having put together not only a good Peirce anthology, but one very carefully and informatively edited." -Philosophia Mathematica "This book is a gem for everyone interested in Peirce's philosophy of mathematics and may be used as a prerequisite for a deeper journey into his philosophical system." -Zentralblatt MATH

Charles S. Peirce (1839-1914) was one of America's most prolific philosophers. He is noted for his contributions to logic, mathematics, science, and semiotics. Matthew E. Moore is Associate Professor of Philosophy at Brooklyn College. He is editor of New Essays on Peirce's Mathematical Philosophy.

Table of Contents Preface Introduction 1 [The Nature of Mathematics] 2 The Regenerated Logic 3 The Logic of Mathematics in Relation to Education 4 The Simplest Mathematics 5 The Essence of Reasoning 6 New Elements of Geometry 7 On the Logic of Quantity 8 Sketch of Dichotomic Mathematics 9 [Pragmatism and Mathematics] 10 Prolegomena to an Apology for Pragmaticism 11 ['Collection' in The Century Dictionary] 12 [On Collections and Substantive Possibility] 13 [The Ontology of Collections] 14 The Logic of Quantity 15 Recreations in Reasoning 16 Topical Geometry 17 A Geometrico-Logical Discussion 18 ['Continuity' in The Century Dictionary] 19 The Law of Mind 20 [Scientific Fallibilism] 21 On Quantity [The Continuity of Time and Space] 22 Detached Ideas Continued and the Dispute between Nominalists and Realists 23 The Logic of Continuity 24 [On Multitudes] 25 Infinitesimals 26 The Bed-Rock beneath Pragmaticism 27 [Note and Addendum on Continuity] 28 Addition [on Continuity] 29 Supplement [on Continuity] Notes Bibliography Index