[ExI] Why is there Something rather than Nothing?

Mike Dougherty msd001 at gmail.com
Thu Jul 12 03:16:53 UTC 2012


On Wed, Jul 11, 2012 at 7:54 PM, Anders Sandberg <anders at aleph.se> wrote:
> From a mathematical standpoint the bag is not terribly big, unless you go to
> Tegmark level 4 multiverses (in which case the concept of "bag" becomes
> extremely problematic: there are horrors out there like the Set of All Sets
> that are not baggable). A spatially infinite universe is just of cardinality
> aleph-1 if continous and aleph-0 if discrete. Add inflation and you still
> remain in that cardinality. With full quantum many worlds you go up one
> level, perhaps ending up with aleph-2. But there is an *infinite* hierarchy
> of alephs beyond...

in the context of alephs, is an infinite hierachy of alephs measured
in alephs or is *infinite* a qualitative measure rather than a
cardinality?



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