Probability of an intelligence solving any given problem

[Peter Driscoll]

I was just thinking of how to measure intelligence. After some reduction its seems it can be measured as the probability of any given problem weighted by the probability of that problem.

Define a problem as a time limited interaction with an environment, with a goal that is either achieved or not achieved.

• The intelligence probability is the probability of an intelligence solving any problem given to it.

For an intelligence there is a probability of it being posed any problem. The problems may form a continuum so the probability must be considered as a probability measure.

So,

• The measurement of intelligence for each problem is either,
  • 1 - The intelligence will achieved the goal.
  • 0 - The intelligence will not achieve that goal.
• The intelligence probability is,
  • The weighted sum over the probability measure of problems of the measure of intelligence for each problem.

Do you know of references stating anything similar?

[Peter Driscoll]

Apologies I missed out some text in the first line.

After some reduction its seems it can be measured as the probability of the intelligence solving any given problem weighted by the probability of that problem.

[Gabriel Leuenberger]

Yes, Shane Legg's Universal Intelligence Measure, and also Ben Goertzel's Efficient Pragmatic General Intelligence Measure or something like that.