[ExI] 1DIQ: an IQ metaphor to explain superintelligence

[Jason Resch]

On Fri, Oct 31, 2025, 3:16 PM Ben Zaiboc via extropy-chat <
extropy-chat at lists.extropy.org> wrote:

> On 31/10/2025 12:28, John K Clark wrote:
>
> We can have a general sort of understanding of how our brain works but to have a perfect understanding a part of our brain would have to have a sort of internal map of the entire brain, and for it to be perfect there would have to be a one to one correspondence between the map and the territory, but that would be impossible for something that is finite like the number of neurons in the human brain. However it would be possible for a proper subset of something infinite to have a one to one correspondence with the entire set; then you could have such a perfect map with a one to one correspondence ...
>
>
> You've completely lost me there, but I have two observations: There's no
> such thing as 'perfect understanding' except as a nebulous theoretical
> concept, and I don't think a one-to-one correspondence would be enough to
> understand something, or even be a relevant concept. We use large parts of
> our brains to process information from small parts of the world. You need a
> lot more than a single neuron to figure out what's going on in a single
> neuron.
>
> Oh, three observations. We don't process data instantaneously. The same
> parts of the brain can be used to process information about something
> repeatedly over time, using feedback loops etc.
>

Computers and algorithms are constrained by two resources space (i.e.
memory), and time (i.e. CPU cycles). While some algorithms allow for
time/space trade offs to be made in certain circumstances, in general there
is some shortest description of the brain (in terms of bits) for which no
shorter representation is possible (regardless of how much additional
computation is thrown at it).

So while the same brain may compute many times with the same neurons, this
addresses only the time component of simulating a brain. There is still the
matter of space.

The analogy here is that a computer with 1 MB of RAM can't emulate a
computer with 1 GB of RAM, even if it's given 1000X the time to do so. In
fact there's no amount of additional time that will permit the memory
deficient computer to emulate the computer with 1 GB of memory, for the
simple reason that it will run out of variables to represent all the
possible values in the memory addresses of the computer with a greater
memory.


Jason
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