We already know from psychology that human intelligence is an
aggregate of several amazing adaptations such as color statistics,
audio source separation and denoising, internal visual simulations,
single photon and single false note detection and the list goes on.
Our AGI designs already include a lot of projects which involve heavy
lifting, including 3D simulations.

However, as much as our AGI modules are demanding, one gets the
feeling that a lot of them are tractable, for example 3D simulations
indistinguishable from reality are very nearly a reality for Hollywood
and could enter our AGIs in 10 to 20 years. Natural language may be
more open-ended and pruning the breadth and depth of the
interpretation tree after embellishing it with numerous models of
humans, animals and the natural world will be certainly pushing our
tech boundaries for a long time.

But is there something even "nastier"? Domains as anomalous as
encryption need not apply, we can (temporarily) denounce all kinds of
hash collisions and NondeterministicPolynomial problems as "pure
luck". But is there another category somewhere in there that is as
anomalous as it is ubiquitous and therefore necessary for General
Intelligence? Could the creation of mathematics be even harder? We
know from everyday life that even professional mathematicians do not
have the kind of fluency with their scientific objects that is
required to be on the creative top of the profession, and our
intelligent cultural heroes in society are constantly defining and
redefining social, psychological and economic categories. We also have
a backlash against our cultural heroes, positing that we would be
better off without ego and id, class struggle and survival of the
fittest. It will be harder to argue against the utility and validity
of our maths and science, it allows us, occasionally and if we are so
inclined, to extend our toolset (that an expanding toolset may lead to
mutual destruction need not bother an ordinary AGI, perhaps a GodAI).
Mathematics has also the curious property that it is "much more
infinite" than the universe it takes place in, and therefore bigger
than the rest of science (I would dare say science is smaller in the
general case even if the universe incorporates infinities, for example
if you can always split particles to smaller and more exotic
constituents). In the same way mathematics is bigger than art, the
pleasures and thrills of arts can never exceed the complexity of the
small part of the cognitive apparatus that bothers if a couple of
verbs or a couple of notes fit together.

Any (sane) takers?

AT


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