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Postulates for an Abstract Arithmetic

Ward, Morgan (1928) Postulates for an Abstract Arithmetic. Proceedings of the National Academy of Sciences of the United States of America, 14 (12). pp. 907-911. ISSN 0027-8424. http://resolver.caltech.edu/CaltechAUTHORS:WARpnas28

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Abstract

I here give a precise definition of an abstract arithmetic, that is, one whose elements are marks in the technical sense, and state a few of its simpler properties. The principal advance over the work summarized in "General Arithmetic" lies in the fact that I no longer assume that "multiplication" is commutative.


Item Type:Article
Additional Information:Copyright © 1928 by the National Academy of Sciences Communicated October 29, 1928
Record Number:CaltechAUTHORS:WARpnas28
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:WARpnas28
Alternative URL:http://www.pnas.org/content/vol14/issue12/
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6160
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:27 Nov 2006
Last Modified:26 Dec 2012 09:18

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