The idea of an all-encompassing set (a set of all sets) is inconsistent, for example because the power set of a set (=the set of all subsets of a set) is an even bigger set. If a set is infinite then its power set has an even bigger infinite size. So there is no biggest set, just as there is no biggest number and no biggest infinity. There just seems to be a never-ending hierarchy of sets, from the empty set upward and maybe there are also sets that have no bottom, that is they contain sets that contain sets etc. without end. But everything needs to be kept consistent and I have heard that according to Godel's second incompleteness theorem there may be inconsistencies lurking in infinities which we may never be able to detect.
On Thursday, November 26, 2020 at 6:57:47 PM UTC+1 Mindey I. wrote: > Curiously, I found the Everything List, because I wanted to to create a "A > Universe Where Everything Can Exist" ( https://mindey.com/world.pdf ), > which the Google search of 2007 returned me to my search query "How to > create a universe, where everything can exist?" > > So, suppose that we create a universe, where everything exists, -- would > that universe be a superset of all possible universes, or, just the same > set? > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/00cbfe99-1fc6-478e-9ddb-6c8d177112bbn%40googlegroups.com.
