Re: nature -> "human brain" -> "language terms" ==>> knowledge ?
Alex,
If anybody asks, I call myself a mathematician, and
I certainly believe that mathematics is important.
I am also very interested in designing artificial
agents that are not necessarily based on a human-like
way of thinking.
AP> I am not so sure that AI will be always "sub-servant"
> to human needs. This opinion is very "human-centric"....
>
> I think that mathematical presentation of knowledge is
> potentially superior to the knowledge, expressed via the
> means of human natural language. Mathematics is the
> ultimate "language" of the Nature itself, since its concepts
> came out of reflection of observing true natural objects
> (and later was extended to embrace "naturally occurring"
> abstractions, such as infinity and such).
Mathematics is very general, and one can define mathematical
models of anything, including various kinds of cognition
or artificial cognition. One reason why I prefer Peirce's
semiotic categories is that they are independent of any
particular mode of thinking. As Peirce said, they apply
to "any scientific intelligence", which he defined as any
intelligence that is capable of learning from experience,
by which he would include dogs and parrots.
Peirce also published an article on logic machines in Vol 1
of the _American Journal of Psychology_:
Peirce, Charles Sanders (1887) "Logical machines,"
_American Journal of Psychology_, vol. 1, Nov. 1887,
pp. 165-170.
As early as 1882, he wrote a letter to O. M. Mitchell, who had
implemented a mechanical logic machine, and he recommended that
Mitchell use electrical circuits. In that letter, he included
drawings of serial circuits for representing AND and parallel
circuits for representing OR. But he certainly would insist
that you could not have any kind of "artificial intelligence"
without "Thirdness", which in human terms means intentions
or at least some kind of goal-directed behavior.
Even the Roomba vacuum robot has self-preservation as a goal:
when it senses that its batteries are low, it looks for an
electrical outlet and plugs itself in. That's Thirdness.
John