Author:
Andreev Petr,Hrbacek Karel
Abstract
AbstractWe prove that Standardization fails in every nontrivial universe definable in the nonstandard set theory BST, and that a natural characterization of the standard universe is both consistent with and independent of BST. As a consequence we obtain a formulation of nonstandard class theory in the ∈-language.
Publisher
Cambridge University Press (CUP)
Reference28 articles.
1. Realism, nonstandard set theory, and large cardinals
2. Relatively standard elements in E. Nelson's internal set theory;Gordon;Sibirski Matematicheski Zhurnal,1989
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