for {set i 0} {$i < infinity} {incr i} { print $i } On Mon, Aug 2, 2010 at 6:23 PM, Jim Bromer <jimbro...@gmail.com> wrote:
> I can write an algorithm that is capable of describing ('reaching') every > possible irrational number - given infinite resources. The infinite is not > a number-like object, it is an active form of incrementation or > concatenation. So I can write an algorithm that can write *every* finite > state of *every* possible number. However, it would take another > algorithm to 'prove' it. Given an irrational number, this other algorithm > could find the infinite incrementation for every digit of the given number. > Each possible number (including the incrementation of those numbers that > cannot be represented in truncated form) is embedded within a single > infinite infinite incrementation of digits that is produced by the > algorithm, so the second algorithm would have to calculate where you would > find each digit of the given irrational number by increment. But the thing > is, both functions would be computable and provable. (I haven't actually > figured the second algorithm out yet, but it is not a difficult problem.) > > This means that the Trans-Infinite Is Computable. But don't tell anyone > about this, it's a secret. > > *agi* | Archives <https://www.listbox.com/member/archive/303/=now> > <https://www.listbox.com/member/archive/rss/303/> | > Modify<https://www.listbox.com/member/?&>Your Subscription > <http://www.listbox.com> > -- cheers, Deepak ------------------------------------------- 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=8660244-6e7fb59c Powered by Listbox: http://www.listbox.com