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Non Standard Regular Finite Set Theory
Author(s) -
Baratella Stefano,
Ferro Ruggero
Publication year - 1995
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19950410203
Subject(s) - unary operation , mathematics , infinity , axiom , consistency (knowledge bases) , set (abstract data type) , zermelo–fraenkel set theory , finite set , set theory , urelement , discrete mathematics , axiom of choice , pure mathematics , calculus (dental) , mathematical analysis , computer science , geometry , medicine , dentistry , programming language
We propose a set theory, called NRFST, in which the Cantorian axiom of infinity is negated, and a new notion of infinity is introduced via non standard methods, i. e. via adequate notions of standard and internal , two unary predicates added to the language of ZF. After some initial results on NRFST, we investigate its relative consistency with respect to ZF and Kawai's WNST.