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On the relevant systemsP andP * and some related systems
Authors:Ayda I Arruda  Newton C A da Costa
Institution:(1) Departamento de Matemática, Universidade Estadual de Campinas, Brazil;(2) Departamento de Mathemática, Universidade de São Paulo, Brazil
Abstract:In this paper we study the systemsP andP * (see Arruda and da Costa,O paradoxo de Curry-Moh Shaw-Kwei, Boletim da Sociedade Matemamacrtica de São Paulo 18 (1966)) and some related systems. In the last section, we prove that certain set theories havingP andP * as their underlying logics are non-trivial.
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