[ExI] Google Just Achieved Mathematical AGI

[Jason Resch]

On Thu, Mar 5, 2026, 6:23 AM John Clark via extropy-chat <
extropy-chat at lists.extropy.org> wrote:

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> On Tue, Mar 3, 2026 at 9:13 AM <spike at rainier66.com> wrote:
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> *> We might be stuck with defining the singularity as a year when a
>> billion humans perish.*
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>
> *I think it is extremely unlikely there will ever be a year in which 1
> billion humans die, but there might be a year in which all 8.2 billion
> humans die, however for betting purposes that would not be a singularity
> definition that would be very useful, the reason being rather obvious. *
>

One funny aspect of hyperbolic models (as opposed to exponential ones) is
that immediately after shooting to infinity (at the singularity point) it
does not remain there at infinity. Instead in very next moment it switches
to negative infinity and then remains negative for all remaining time.

Does this suggest some kind of phase transition or other fundamental and
permanent change for civilization? It's hard to interpret what the math
implies in this case. My bet is any attempt to read past that point is over
extending the model past the point where it breaks/decouples from reality.

Hillis talked about this in the 90s:
https://youtu.be/gdg4mU-wuhI

Jason



> *John K Clark*
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>> *From:* John Clark <johnkclark at gmail.com>
>> *….*
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>> *>>… **How can we objectively define when the singularity occurred?*
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>> *>…When predictions consistently prove to be wrong is the normal
>> definition of a singularity. Back in January I predicted that 2025 would be
>> the last normal year ... so now it looks like my prediction is on track for
>> being proven correct... so my prediction was proven to be wrong... so my
>> prediction was right ... so I'm very confused.... so I guess the
>> Singularity is happening.   *
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>> *John K Clark*
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>> *But 2025 was not a normal year.  By that reasoning the singularity
>> already happened.  But it is difficult to define objectively when it
>> happened.  We might be stuck with something like defining the singularity
>> by some percentage of biological humans perishing, some five sigma number,
>> ten times the average mortality for instance.  If I were to estimate an
>> average mortality, there are about 8 billion humans and we live about 80
>> years on the average, so about a hundred million proles perish every year
>> to maintain those numbers, ja?  We might be stuck with defining the
>> singularity as a year when a billion humans perish.*
>>
>> *Wow that’s dark.  Suggestions please?*
>>
>> *spike*
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