Philosophy of Mathematics

Philosophy of Mathematics : Selected Writings

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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 more

Product details

  • Paperback | 336 pages
  • 154.94 x 233.68 x 25.4mm | 521.63g
  • Indiana University Press
  • Bloomington, IN, United States
  • English
  • 3 b&w illus.
  • 0253222656
  • 9780253222657
  • 1,086,450

Review quote

"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 "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." -Notre Dame Philosophical Reviews, 8/30/2011 "Moore is to be congratulated on having put together not only a good Peirce anthology, but one very carefully and informatively edited." -Philosophia Mathematica "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 MATHshow more

About Charles S. Peirce

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 more

Table of contents

Table of ContentsPrefaceIntroduction1 [The Nature of Mathematics]2 The Regenerated Logic3 The Logic of Mathematics in Relation to Education4 The Simplest Mathematics 5 The Essence of Reasoning6 New Elements of Geometry7 On the Logic of Quantity8 Sketch of Dichotomic Mathematics9 [Pragmatism and Mathematics]10 Prolegomena to an Apology for Pragmaticism11 [`Collection' in The Century Dictionary]12 [On Collections and Substantive Possibility]13 [The Ontology of Collections]14 The Logic of Quantity15 Recreations in Reasoning16 Topical Geometry17 A Geometrico-Logical Discussion18 [`Continuity' in The Century Dictionary]19 The Law of Mind20 [Scientific Fallibilism]21 On Quantity [The Continuity of Time and Space]22 Detached Ideas Continued and the Dispute between Nominalists and Realists23 The Logic of Continuity24 [On Multitudes]25 Infinitesimals26 The Bed-Rock beneath Pragmaticism27 [Note and Addendum on Continuity]28 Addition [on Continuity]29 Supplement [on Continuity]NotesBibliographyIndexshow more

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