SOME REMARKS ON NONSTANDARD THEORY OF CLASSES

摘要

In the paper, we discuss several hitherto open problems concerning classes in nonstandard set theory. Axiomatic nonstandard set theory was introduced in [3,9] as a foundation for practice of nonstandard analysis and an extension of classical set theory to a larger universe, containing infinitely large natural numbers, infinitesimals, and other "nonstandard" objects. A comprehensive account of nonstandard set theory and its achievements can be found in [8].