An alternative construction of Conway's ordered field No
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چکیده
An R~-universally extending ordered field of power N, is constructed for each regular power N,, where 0 < of -< On and Zt~<~ 2• <-X,. When ,R, is inaccessible, the structure is either a (set) model of J. H. Conway's ordered field No or an isomorphic copy of No depending on whether or not S~. is a set or a proper class. An early version of this paper was delivered to the Joint Colloquium on History and Philosophy of Science (Harvard University) in November of 1982. Thanks are due to Silvan Schweber for providing me with this opportunity. Thanks are also owed to John Pollock, with whom 1 discussed much of the material in the paper during my visit to the University of Arizona-Tucson in the spring of 1983. Finally, a debt is owed to Professor Jan Mycielski for editorial assistance.
منابع مشابه
Number Systems with Simplicity Hierarchies: A Generalization of Conway's Theory of Surreal Numbers
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تاریخ انتشار 2005