Try Rudy Rucker's book "Infinity and the Mind" for a good nontechnical treatment of related ideas....
http://www.amazon.com/Infinity-Mind-Rudy-Rucker/dp/0691001723 The related wikipedia pages are a bit technical ;-p , e.g. http://en.wikipedia.org/wiki/Inaccessible_cardinal On Tue, Oct 21, 2008 at 2:27 PM, Russell Wallace <[EMAIL PROTECTED]>wrote: > On Tue, Oct 21, 2008 at 4:53 PM, Abram Demski <[EMAIL PROTECTED]> > wrote: > > As it happens, this definition of > > meaning admits horribly-terribly-uncomputable-things to be described! > > (Far worse than the above-mentioned super-omegas.) So, the truth or > > falsehood is very much not computable. > > > > I'm hesitant to provide the mathematical proof in this email, since it > > is already long enough... let's just say it is "available upon > > request". > > Now I'm curious -- can these horribly-terribly-uncomputable-things be > described to a non-mathematician? If so, consider this a request. > > > ------------------------------------------- > agi > Archives: https://www.listbox.com/member/archive/303/=now > RSS Feed: https://www.listbox.com/member/archive/rss/303/ > Modify Your Subscription: > https://www.listbox.com/member/?&; > Powered by Listbox: http://www.listbox.com > -- Ben Goertzel, PhD CEO, Novamente LLC and Biomind LLC Director of Research, SIAI [EMAIL PROTECTED] "Nothing will ever be attempted if all possible objections must be first overcome " - Dr Samuel Johnson ------------------------------------------- agi Archives: https://www.listbox.com/member/archive/303/=now RSS Feed: https://www.listbox.com/member/archive/rss/303/ Modify Your Subscription: https://www.listbox.com/member/?member_id=8660244&id_secret=117534816-b15a34 Powered by Listbox: http://www.listbox.com
