As I understand, nonstandard analysis usually proceeds by taking a ultrapower of the universe by some nonprincipal ultrafilter on $\mathbb N$. There are continuum many “integers” of this model, but the more specific combinatorics may vary. What if the value of the dominating number $\frak d$ and the bounding number $\frak b$ are small—-does this have any effect on nonstandard analysis?
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asked Mar 9, 2020 at 18:52
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3$\begingroup$ Maybe related (but maybe not?): mathoverflow.net/questions/230942/… $\endgroup$– Will BrianCommented Mar 9, 2020 at 19:11
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