Abstract
Recall that the class L[I] of sets constructible from internal sets was employed in Chapter 5 to obtain some consistency theorems. For instance Theorem 5.5.8 implies that it is consistent with HST that I-infinite internal sets of different I-cardinalities are necessarily non-equinumerous. It would be in the spirit of mathematical foundations to ask whether the negation of this sentence, that is the existence of equinumerous I-infinite internal sets of different I-cardinalities, is also consistent.
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© 2004 Springer-Verlag Berlin Heidelberg
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Kanovei, V., Reeken, M. (2004). Forcing extensions of the nonstandard universe. In: Nonstandard Analysis, Axiomatically. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-08998-9_8
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DOI: https://doi.org/10.1007/978-3-662-08998-9_8
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