--- "J. Storrs Hall, PhD." <[EMAIL PROTECTED]> wrote: > It's worth reading Ch. 28 of Metamagical Themas in this connection (p700ff > in > the paperback ed.). Hofstadter introduces a whole bunch of games with just > this character, and has a lots of fun with the "what if he thinks that I > think that he thinks" type analysis. He is then disappointed when a simple > program using game theory and random numbers beats his fancy "analytic" > approach every time. > > Josh
Yes, my definition won't work. It doesn't matter how smart machine A is. Machine B can match it by outputting random bits. > > On Wednesday 25 April 2007 20:34, Matt Mahoney wrote: > > Suppose a machine at each time step outputs a 0 or a 1, then inputs a 0 or > > a 1 from an unknown environment. The goal of the machine is to predict > the > > next input bit. > > > > This goal is precisely defined. It is also consistent with some popular > > definitions of intelligence. For example, if the source of bits is > English > > text, then there is currently no known algorithm that can score a lower > > error rate than the average human. > > > > However, this by itself is not a useful definition of intelligence. > > Different algorithms will rank differently depending on the environment. > > For example, if the action of the environment is to take the output bit b > > and feed back 1-b, then all algorithms will rank equally (un)intelligent. > > > > Now consider a ranking that does not depend on a choice of environment. > > Two machines, A and B, are connected so that the output of each is > > connected to the input of the other with a small delay (less than 1 time > > step). Furthermore, the connection from A to B is inverted. Both machines > > try to predict simultaneously what the other will output. If the outputs > > match, then A wins a point. If they differ, then B wins a point. Can we > > say that the machine that wins the most points is more intelligent? > > > > > > -- Matt Mahoney, [EMAIL PROTECTED] > > -- Matt Mahoney, [EMAIL PROTECTED] ----- This list is sponsored by AGIRI: http://www.agiri.org/email To unsubscribe or change your options, please go to: http://v2.listbox.com/member/?member_id=231415&user_secret=fabd7936
