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. |
Contents
The Nature of Mathematics 1895 | 1 |
The Regenerated Logic 1896 | 11 |
The Logic of Mathematics in Relation to Education 1898 | 15 |
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abnumeral multitude abstraction algebra analysis applied argument Aristotle arithmetic assertion axioms Benjamin Peirce called Cantor Cantor's Theorem cardinal character conception consists continuity continuum corollary Dedekind deductive reasoning defined definition denumerable denumerable collection diagrammatic diagrams distinct doctrine dyadic relations elements ence essence example existence existential graphs experience exterior angle theorem fact fallibilism gath geometry Hookway Houghton Library hypothesis icon idea individuals infinite infinitesimal infinity instant involves Kant kind lecture logic of relatives logician mathe mathematical reasoning mathematician matics mean metaphysics mind natural numbers necessary objects observation ontology ordinal numbers particle Peirce Society Peirce's Peirce's philosophy philosophy of mathematics points possible postulates pragmaticism pragmatism 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 topical true truth whole numbers