On Sat, Feb 22, 2014 at 9:05 PM, Jim Bromer <[email protected]> wrote:

> On Thu, Feb 20, 2014 at 6:46 PM, Ben Goertzel <[email protected]> wrote:
>
>> Do you mean: Given two numbers x and and y drawn from a specific sample S
>> of numbers (or a specific probability distribution D over the set of
>> numbers)?
>> Without this background S or D, the question is meaningless...
>> Given a distribution D, one can draw a sample S, of course; so the case
>> where one has a sample S is sufficient to deal with
>> One sensible measure would be: What ratio of the numbers in the sample S
>> are greater than max(x,y) or less than min(x,y) , as opposed to lying
>> between x and y?
>>
>
>
> But even this definition is (relatively) trivial relative to  the problem
> of AGI.
>
>
Yes it is.  I was not proposing it as a profound, revolutionary insight;
just as a reasonable answer to the question that was asked ;)



> You don't "encounter" different probability distributions in the "real
> world", you derive them from "observations" of the real world.
>

True...


> If you had answered the question using examples of numerical relations
> (with simple but powerful examples) and everyone understood those examples
> then I'd have to conclude that the underlying principle of numerical
> relations must have a great deal of relevance to the problem of
> discovering, representing and conveying meaning. But instead, when you
> realized that you had a chance to teach something that could be useful to a
> lot of people, you started out using words.
>


Understanding quantitative data coming from sense organs is arguably more
basic to intelligence than understanding words, since dogs and pigs can
understand the former but not the latter...

Human language emerged to talk about the physical world, not in a universe
composed entirely of text corpora.   And sense organs measure the world in
ways naturally modeled via quantitative variables.

A specific example of modeling quantitative variables using quantile
normalization and propositional logic is at the end of:

http://wiki.opencog.org/w/QuantitativePredicate

The example is about GDP, but it could as well be about decibel levels
coming out of an ear, etc.

-- Ben



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