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612-822-4611
Charles S. Peirce on the Logic of Number

Charles S. Peirce on the Logic of Number

Paperback

FictionGeneral Mathematics

ISBN10: 0983700478
ISBN13: 9780983700470
Publisher: Createspace
Published: Oct 24 2012
Pages: 144
Weight: 0.44
Height: 0.31 Width: 5.98 Depth: 9.02
Language: English
In 1881 the American philosopher Charles S. Peirce published a remarkable paper in The American Journal of Mathematics called On the Logic of Number. Peirce's paper marked a watershed in nineteenth century mathematics, providing the first successful axiom system for the natural numbers. Awareness that Peirce's axiom system exists has been gradually increasing but the conventional wisdom among mathematicians is still that the first satisfactory axiom systems were those of Dedekind and Peano. The book analyzes Peirce's paper in depth, placing it in the context of contemporary work, and provides a proof of the equivalence of the Peirce and Dedekind axioms for the natural numbers.

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General Mathematics