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Dec 13, 2019 at 0:04 comment added James E Hanson It sounds like you've largely answered your own question with the cardinality observation. That should be the easiest way to prove that they aren't always equivalent, although it will probably only show this with some set theoretic assumptions.
Dec 10, 2019 at 16:22 history edited Martin Sleziak
added the (ultrapowers) tag
Dec 10, 2019 at 16:12 history edited Isaac CC BY-SA 4.0
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Dec 10, 2019 at 8:13 comment added Joel David Hamkins Can you define limit ultrapower and iterated ultrapower? For example, with iterated ultrapower, what kind of index set for the iteration do you allow?
Dec 9, 2019 at 21:09 history asked Isaac CC BY-SA 4.0