Philosophy of Mathematics: Selected Writings

Philosophy of Mathematics: Selected Writings

by Charles S. Peirce, Matthew E. Moore
     
 

ISBN-10: 0253222656

ISBN-13: 9780253222657

Pub. Date: 08/10/2010

Publisher: Indiana University Press

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

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Overview

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.

Product Details

ISBN-13:
9780253222657
Publisher:
Indiana University Press
Publication date:
08/10/2010
Series:
Selections from the Writings of Charles S. Peirce Series
Pages:
336
Product dimensions:
6.10(w) x 9.20(h) x 1.10(d)

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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