An algebraic framework to a theory of sets based on the surreal numbers

The notion of surreal number was introduced by J.H. Conway in the mid 1970\'s: the surreal numbers constitute a linearly ordered (proper) class No containing the class of all ordinal numbers (On) that, working within the background set theory NBG, can be defined by a recursion on the class...

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Bibliographic Details
Main Author: Dimi Rocha Rangel
Other Authors: Hugo Luiz Mariano
Language:English
Published: Universidade de São Paulo 2018
Subjects:
Online Access:http://www.teses.usp.br/teses/disponiveis/45/45131/tde-02032019-143956/