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(s): Charles S. Peirce, Matthew E. Moore (ed.)
Series: Selections from the Writings of Charles S. Peirce
Publisher: Indiana University Press
Year: 2010
Language: English
Pages: 336
Contents......Page 6
Preface......Page 8
Introduction......Page 16
[The Nature of Mathematics]......Page 46
The Regenerated Logic......Page 56
The Logic of Mathematics in Relation to Education......Page 60
The Simplest Mathematics......Page 68
The Essence of Reasoning......Page 82
New Elements of Geometry......Page 84
On the Logic of Quantity......Page 88
Sketch of Dichotomic Mathematics......Page 102
[Pragmatism and Mathematics]......Page 112
Prolegomena to an Apology for Pragmaticism......Page 124
[‘Collection’ in The Century Dictionary]......Page 130
[On Collections and Substantive Possibility]......Page 134
[The Ontology of Collections]......Page 144
The Logic of Quantity......Page 152
Recreations in Reasoning......Page 158
Topical Geometry......Page 164
A Geometrico-Logical Discussion......Page 174
[‘Continuity’ in The Century Dictionary]......Page 180
The Law of Mind......Page 186
[Scientific Fallibilism]......Page 200
On Quantity [The Continuity of Time and Space]......Page 204
Detached Ideas Continued and the Dispute between Nominalists and Realists......Page 210
The Logic of Continuity......Page 224
[On Multitudes]......Page 234
Infinitesimals......Page 246
The Bed-Rock beneath Pragmaticism......Page 252
[Note and Addendum on Continuity]......Page 256
Addition [on Continuity]......Page 262
Supplement [on Continuity]......Page 266
Notes......Page 271
Bibliography......Page 307
Index......Page 326
