On the relevant systemsP andP
* and some related systems |
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Authors: | Ayda I Arruda Newton C A da Costa |
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Institution: | (1) Departamento de Matemática, Universidade Estadual de Campinas, Brazil;(2) Departamento de Mathemática, Universidade de São Paulo, Brazil |
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Abstract: | In this paper we study the systemsP andP
* (see Arruda and da Costa,O paradoxo de Curry-Moh Shaw-Kwei, Boletim da Sociedade Matem tica 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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Keywords: | |
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