[ExI] Why is there Something rather than Nothing?

[Anders Sandberg]

Isn't this question just auto-begging?


On 11/07/2012 20:26, BillK wrote:
> You need a big bag to hold all these universes in. Where does all that
> *space* come from?

 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...


-- 
Anders Sandberg,
Future of Humanity Institute
Philosophy Faculty of Oxford University