On Thu, Jul 11, 2024 at 2:08 AM Brent Meeker <[email protected]> wrote:

>> That [*lack of a multiply operation*] would be no problem as long as the
>> AI still had the addition operation, just do repeated additions, although
>> it would slow things down. But you could start removing more and more
>> operations until you got all the way down to First Order Logic, and then an
>> AI could actually prove its own consistency. Kurt Godel showed that a few
>> years before he came up with this famous incompleteness theorem  in what we
>> now call Godel's Completeness Theorem. His later Incompleteness Theorem
>> only applies to logical systems powerful enough to do arithmetic, and you
>> can't do arithmetic with nothing but first order logic. The trouble is you
>> couldn't really say an Artificial Intelligence was intelligent if it
>> couldn't even pass a first grade arithmetic test.
>
>
> *> There are many levels of intelligence.  An octopus can't pass a first
> grade arithmetic test but it can escape thru a difficult maze*
>

Claude Shannon, the father of information theory, made a computerized mouse
way back in 1951 that was able to escape a difficult maze. It was a big
advance at the time, if the term had been invented, some would've called it
Artificial Intelligence. However these days nobody would call something
like that AI; one of the many reasons why is that it couldn't pass a first
grade arithmetic test.

 See what's on my new list at  Extropolis
<https://groups.google.com/g/extropolis>
mey

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