On 8/11/19 10:08 AM, Basile Starynkevitch wrote:
On 8/10/19 4:50 PM, Stefan Reich via AGI wrote:
> Language and mathematics are constructs created by an intelligent
system; they are not an insight into how the intelligent system
functions.
The interesting and AGi-related question is /how/ mathematicians think
(and the mentalese
<https://en.wikipedia.org/wiki/Language_of_thought_hypothesis> used by
them). The demonstrations or papers produced by mathematicians is just
the result of their thinking, and is less interesting for AGI. What
matters more to us, AGI experimenters, is how mathematicians (and
chess champions, and scientists in general) think, more than the
result of their thinking.
A related (but not AGI) psychocognitive question is : do men & women
think of mathematics differently.
There are scientific reasons to believe that there is a /tiny/
difference.
I am not a native English speaker, so please bear with me.
The scientific reasons I was thinking of could be related to the
observation that women are statisticall more acute, in color perception,
than men. Women retina <https://en.wikipedia.org/wiki/Retina> is not the
same as men's retina: the proportion of rods cones and nerves is
statistically and genetically different. So a woman could think in a
more colorful way than a man (even if both are mathematician). When I
Basile think (or dream) of algorithms or of computer code, the color I
"see" in my mentalese do matter. Syntax highlighting does matter a lot
for code to me.
But much smaller than the difference in the way of thinking of a
topologist and an algebrist. And the tiny difference in the way men &
women are thinking of mathematics (or of computer science, or of
algorithms, or even of software engineering) is of course not a reason
to believe that males (men) are superior or inferior (in intelligence)
to females (women); but I tend to believe that their thinking is
/slightly/ different.
Better formulated insights around these topics are on Pitrat's blog
<http://bootstrappingartificialintelligence.fr/WordPress3/> and also
his /Artificial Beings/
<https://onlinelibrary.wiley.com/doi/book/10.1002/9780470611791> book.
And an AGI system should obviously program itself and have quite
powerful software engineering (even AI programming, in the modern
sense) skills. The real question is what mentalese should an AGI
system uses to program and improve itself.
Cheers
--
Basile Starynkevitch (92340 Bourg La Reine, France)
http://starynkevitch.net/Basile/ <bas...@starynkevitch.net>
Opinions are only mine - mes opinions ne sont que miennes
(tel. mobile: cf my web page / voir ma page web)
--
Basile Starynkevitch (92340 Bourg La Reine, France)
http://starynkevitch.net/Basile/ <bas...@starynkevitch.net>
Opinions are only mine - mes opinions ne sont que miennes
(tel. mobile: cf my web page / voir ma page web)
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