## Philosophy of Mathematics: Selected WritingsThe 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. |

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### Contents

The Nature of Mathematics 1895 | 1 |

The Regenerated Logic 1896 | 11 |

The Logic of Mathematics in Relation to Education 1898 | 15 |

Copyright | |

22 other sections not shown

### Other editions - View all

Philosophy of mathematics: selected writings Charles Sanders Peirce,Matthew E. Moore No preview available - 2010 |

### Common terms and phrases

abnumeral multitude abstraction algebra analysis applied argument Aristotle arithm arithmetic assertion axioms Benjamin Peirce called Cantor cardinal character conception consequences consists contains continuity continuum corollary Dedekind deductive reasoning defined denumerable collection diagrammatic diagrams distinct distinguished doctrine dyadic relations elements ence epistemology essence Euclid example existence existential graphs experience exterior angle theorem fact fallibilism gath geometry Hookway hypothesis icon idea individuals infinite infinitesimal infinity instant involves Kant kind lecture logic of relatives logician mathe mathematical reasoning mathematician matics matter mean metaphysics mind Murphey natural numbers necessary objects observation ontology ordinal numbers particle Peirce's Peirce's philosophy philosophy of mathematics possible postulates predicate principle problem projective geometry proof proposition pure mathematics question rational real numbers realism relation selection semiotic sense space supermultitudinous suppose synechism theorem theory things third thought tion topics true truth whole numbers word