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Finite set theory, number theory and axioms of limitation

✍ Scribed by Kenneth R. Brown; Hao Wang

Publisher
Springer
Year
1966
Tongue
English
Weight
264 KB
Volume
164
Category
Article
ISSN
0025-5831

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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 NRFS

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## Abstract This is a study of the relative interpretability of the axiom of extensionality in the positive set theory. This work has to be considered in the line of works of R. O. Gandy, D. Scott and R. Hinnion who have studied the relative interpretability of the axiom of extensionality in set th