Philosophy of Mathematics: Selected Writings

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The philosophy of mathematics plays a vital role in the mature philosophy of Charles S. Peirce. Peirce received rigorous mathematical training from his father and his philosophy carries on in decidedly mathematical and symbolic veins. For Peirce, math was a philosophical tool and many of his most productive ideas rest firmly on the foundation of mathematical principles. This volume collects Peirce's most important writings on the subject, many appearing in print for the first time. Peirce's determination to understand matter, the cosmos, and "the grand design" of the universe remain relevant for contemporary students of science, technology, and symbolic logic.

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Editorial Reviews

Notre Dame Philosophical Reviews

"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

Philosophia Mathematica

"Moore is to be congratulated on having put together not only a good Peirce anthology, but one very carefully and informatively edited." —Philosophia Mathematica

Joseph W. Dauben

"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

Zentralblatt MATH

"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

From the Publisher
"Moore is to be congratulated on having put together not only a good Peirce anthology, but one very carefully and informatively edited." —Philosophia Mathematica
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Product Details

Meet the Author

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.

Indiana University Press

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Table of 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

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

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