Philosophy of Mathematics Selected Writings [Paperback]

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 Peirces most important writings on the subject, many appearing in print for the first time. Peirces determination to understand matter, the cosmos, and the grand design of the universe remain relevant for contemporary students of science, technology, and symbolic logic.

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 [Notlc³