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<blockquote data-quote="clearstream" data-source="post: 9044923" data-attributes="member: 71699">Overnight I figured out what the issue is (and you are right that so far as I can see it turns out not to turn on the type of infinity.)The solution is suggested by hotel infinities. (How do you check new guests into an infinite hotel? Ask the current guests to all move along one room.) One perspective on E is to define it from an atemporal perspective: over all time, E is infinitely large and contains all S. Hotel infinities suggest another perspective.At any time T on Earth, the size of E is equal to the size of all the S's currently checked-in to E. Some S can be infinite in size, but that shouldn't matter here. Over the whole Universe E might be infinitely large at T, but from an Earth-person's perspective, with access only to the S's of Earth, at time T' I can always check a new S into E.At T' I can check a new S into E, which seeing as S can have constitutive rules introducing new possibilities, expands it! Thus, from a temporal perspective, there is always worth in adding S's. From my time-bound perspective, the added constitutive rules can open up new possibilities.</blockquote>

[QUOTE="clearstream, post: 9044923, member: 71699"] Overnight I figured out what the issue is (and you are right that so far as I can see it turns out not to turn on the type of infinity.) The solution is suggested by hotel infinities. (How do you check new guests into an infinite hotel? Ask the current guests to all move along one room.) One perspective on E is to define it from an atemporal perspective: over all time, E is infinitely large and contains all S. Hotel infinities suggest another perspective. At any time T on Earth, the size of E is equal to the size of all the S's currently checked-in to E. Some S can be infinite in size, but that shouldn't matter here. Over the whole Universe E might be infinitely large at T, but from an Earth-person's perspective, with access only to the S's of Earth, at time T' I can always check a new S into E. At T' I can check a new S into E, which seeing as S can have constitutive rules introducing new possibilities, expands it! Thus, from a temporal perspective, there is always worth in adding S's. From my time-bound perspective, the added constitutive rules can open up new possibilities. [/QUOTE]

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