Articles liés à Charles S. Peirce on the Logic of Number

Charles S. Peirce on the Logic of Number - Couverture souple

Shields, Paul

 
9780983700470: Charles S. Peirce on the Logic of Number
Couverture souple
ISBN 10 : 0983700478 ISBN 13 : 9780983700470
Editeur : Docent Press, 2012

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Docent Press
Date d'édition
2012
Langue
anglais
ISBN 10 
0983700478
ISBN 13 
9780983700470
Reliure
Broché
Nombre de pages
144
Coordonnées du fabricant
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