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Full Description
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.
Contents
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
