tag:blogger.com,1999:blog-3891434218564545511.post1332282494893492993..comments2024-03-28T19:56:42.305-05:00Comments on Alexander Pruss's Blog: A cardinality objection to unrestricted modal profilesAlexander R Prusshttp://www.blogger.com/profile/05989277655934827117noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-3891434218564545511.post-41214327294406635812015-03-08T10:48:31.341-05:002015-03-08T10:48:31.341-05:00Moreover, for any infinite cardinality K such that...Moreover, for any infinite cardinality K such that there are at least K worlds containing at least one concrete thing, there are at least 2^K concrete things in the actual world.<br /><br />Since plausibly for any cardinality K there are at least K worlds, we have a different route to the conclusion.Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-16032588237189381482015-02-21T09:14:26.893-06:002015-02-21T09:14:26.893-06:00One can modify premise 1 to say that there is a po...One can modify premise 1 to say that there is a possible world whose concrete objects form aI nonempty set.<br />Perhaps a more intuitive objection: UMP would absurdly imply that there is no world with finitely (but non-zero) many concrete objects.Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.com