Philosophy of Mathematics

Philosophy of Mathematics

Selected Writings
Charles S. Peirce, edited by Edited by Matthew E. Moore. Charles S. Peirce
Distribution: Global
Publication date: 08/19/2010
ISBN: 978-0-253-00469-7
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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.

Author Bio

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.


“A collection of Peirce’s most important writings on math, and his determination to understand matter, the cosmos, and “the grand design” of the universe, which all remain relevant for contemporary students of science, technology, and symbolic logic.”

“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

“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

“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. 8/30/2011”
 — Notre Dame Philosophical Reviews

“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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Table of Contents

Table of Contents
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]