Philosophy of Mathematics

by Peirce, Charles S.

• ISBN13: 9780253222657
• ISBN10: 0253222656
• Format: Paperback
• Copyright: 2010-08-19
• Publisher: Indiana Univ Pr

Summary

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 Biography

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	p. vii
Introduction	p. xv
[The Nature of Mathematics] (1895)	p. 1
The Regenerated Logic (1896)	p. 11
The Logic of Mathematics in Relation to Education (1898)	p. 15
The Simplest Mathematics (1902)	p. 23
The Essence of Reasoning (1893)	p. 37
New Elements of Geometry (1894)	p. 39
On the Logic of Quantity (1895)	p. 43
Sketch of Dichotomic Mathematics (1903)	p. 57
[Pragmatism and Mathematics] (1903)	p. 67
Prolegomena to an Apology for Pragmaticism (1906)	p. 79
['Collection' in The Century Dictionary] (1888-1914)	p. 85
[On Collections and Substantive Possibility] (1903)	p. 89
[The Ontology of Collections] (1903)	p. 99
The Logic of Quantity (1893)	p. 107
Recreations in Reasoning (1897)	p. 113
Topical Geometry (1904)	p. 119
A Geometrico-Logical Discussion (1906)	p. 129
['Continuity' in The Century Dictionary] (1888-1914)	p. 135
The Law of Mind (1892)	p. 141
[Scientific Fallibilism] (1893)	p. 155
On Quantity [The Continuity of Time and Space] (1896)	p. 159
Detached Ideas Continued and the Dispute between Nominalists and Realists (1898)	p. 165
The Logic of Continuity (1898)	p. 179
[On Multitudes] (1897)	p. 189
Infinitesimals (1900)	p. 201
The Bed-Rock beneath Pragmaticism (1905)	p. 207
[Note and Addendum on Continuity] (1908)	p. 211
Addition [on Continuity] (1908)	p. 217
Supplement [on Continuity] (1908)	p. 221
Notes	p. 227
Bibliography	p. 263
Index	p. 281
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