Caledonian: But do we here need to go beyond “well behaved limit defined infinities”?
You do if you want to talk about certain sets. Some of those sets are relevant to the Dust hypothesis. Therefore, if you want to talk about the Dust hypothesis, you have to be willing to discuss infinities in a more complex way.
You do if you want to talk about certain sets. Some of those sets are relevant to the Dust hypothesis. Therefore, if you want to talk about the Dust hypothesis, you have to be willing to discuss infinities in a more complex way.
Short answer: yes.