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      Notes on Russell's theory of number

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      Mather_Harry_1937_sec.pdf (3.502Mb)
      Date
      1937
      Author
      Mather, Harry
      Type
      Thesis
      Degree Level
      Masters
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      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.
      Degree
      Master of Arts (M.A.)
      Department
      College of Arts and Science
      Program
      College of Arts and Science
      Committee
      Ling, G. H.
      Copyright Date
      1937
      URI
      http://hdl.handle.net/10388/etd-08042010-091627
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      • Graduate Theses and Dissertations
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