Ben Goertzel wrote: >> Secondly, since it cannot be computed it is useless. Third, it is not the >> sort >>of thing that is useful for AGI in the first place.
> I agree with these two statements The principle of Solomonoff induction can be applied to computable subsets of the (infinite) hypothesis space. For example, if you are using a neural network to make predictions, the principle says to use the smallest network that computes the past training data. -- Matt Mahoney, [email protected] ________________________________ From: Ben Goertzel <[email protected]> To: agi <[email protected]> Sent: Fri, July 9, 2010 7:56:53 AM Subject: Re: [agi] Solomonoff Induction is Not "Universal" and Probability is not "Prediction" On Fri, Jul 9, 2010 at 7:49 AM, Jim Bromer <[email protected]> wrote: Abram, >Solomoff Induction would produce poor "predictions" if it could be used to >compute them. > Solomonoff induction is a mathematical, not verbal, construct. Based on the most obvious mapping from the verbal terms you've used above into mathematical definitions in terms of which Solomonoff induction is constructed, the above statement of yours is FALSE. If you're going to argue against a mathematical theorem, your argument must be mathematical not verbal. Please explain one of 1) which step in the proof about Solomonoff induction's effectiveness you believe is in error 2) which of the assumptions of this proof you think is inapplicable to real intelligence [apart from the assumption of infinite or massive compute resources] Otherwise, your statement is in the same category as the statement by the protagonist of Dostoesvky's "Notes from the Underground" -- "I admit that two times two makes four is an excellent thing, but if we are to give everything its due, two times two makes five is sometimes a very charming thing too." ;-) Secondly, since it cannot be computed it is useless. Third, it is not the sort of thing that is useful for AGI in the first place. I agree with these two statements -- ben G 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
