Jim Bromer wrote: > The fundamental method of Solmonoff Induction is trans-infinite.
The fundamental method is that the probability of a string x is proportional to the sum of all programs M that output x weighted by 2^-|M|. That probability is dominated by the shortest program, but it is equally uncomputable either way. How does this approximation invalidate Solomonoff induction? Also, please point me to this mathematical community that you claim rejects Solomonoff induction. Can you find even one paper that refutes it? -- Matt Mahoney, matmaho...@yahoo.com ________________________________ From: Jim Bromer <jimbro...@gmail.com> To: agi <agi@v2.listbox.com> Sent: Wed, July 21, 2010 3:08:13 PM Subject: Re: [agi] Comments On My Skepticism of Solomonoff Induction I should have said, It would be unwise to claim that this method could stand as an "ideal" for some valid and feasible application of probability. Jim Bromer On Wed, Jul 21, 2010 at 2:47 PM, Jim Bromer <jimbro...@gmail.com> wrote: The fundamental method of Solmonoff Induction is trans-infinite. Suppose you iterate through all possible programs, combining different programs as you go. Then you have an infinite number of possible programs which have a trans-infinite number of combinations, because each tier of combinations can then be recombined to produce a second, third, fourth,... tier of recombinations. > >Anyone who claims that this method is the "ideal" for a method of applied >probability is unwise. > Jim Bromer agi | Archives | Modify Your Subscription ------------------------------------------- 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
