dc.creator Mather, Harry en_US dc.date.accessioned 2010-08-04T09:16:27Z en_US dc.date.accessioned 2013-01-04T04:50:56Z dc.date.available 2011-08-13T08:00:00Z en_US dc.date.available 2013-01-04T04:50:56Z dc.date.created 1937 en_US dc.date.issued 1937 en_US dc.date.submitted 1937 en_US dc.identifier.uri http://hdl.handle.net/10388/etd-08042010-091627 en_US dc.description.abstract This paper treats the development of the real number system. As the title suggests, it is based on the theory of number as presented by Bertrand Russell in his two works, the "Introduction to Mathematical Philosophy" and the "Principles of Mathematics". My chief aim has been to reduce the concept of 'number' to such logical concepts as 'class' and 'relations'. The first part of this paper deals with these concepts and the latter parts with their applications to 'number'. Regarding the operations between numbers, much is left undone. I merely offer the essential definitions. Certain refinements of these operations, such as the associative and distributive laws of algebra, are omitted. These omissions are not due to the fact that such laws are unimportant or that they cannot be derived from 'number' as defined in this paper, but to the fact that I discuss here only the essential features of the number system and not the various laws which may be deduced from these. en_US dc.language.iso en_US en_US dc.title Notes on Russell's theory of number en_US thesis.degree.department College of Arts and Science en_US thesis.degree.discipline College of Arts and Science en_US thesis.degree.grantor University of Saskatchewan en_US thesis.degree.level Masters en_US thesis.degree.name Master of Arts (M.A.) en_US dc.type.material text en_US dc.type.genre Thesis en_US dc.contributor.committeeMember Ling, G. H. en_US
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