Re: GPT4 + Mathematica

2023-04-02 Thread Brent Meeker
That's fascinating.  I had not heard to the magnetic 
stimulation/inhibition experiments.  Have you a reference?


Brent

On 4/2/2023 2:58 PM, smitra wrote:
While GPT hooked up to Mathematica may greatly improve its 
performance, I would not be impressed when judging that in  terms of 
approaching human level cognition.


A long time ago I was teaching a statistical mechanics class, the 
students had to do a certain calculation for homework that involved 
doing the series expansion of 1/sinh(x) to order x. I was shocked to 
see that none of the students could do it. But some did come up with 
the right answer, they had shown some failed attempts and then wrote 
that they used Mathematica and Mathematica says that the answer is  
1/x - x/6 ...


The students couldn't do it because they could not use the Taylor 
expansion formula due to the singularity at x = 0. Most  students had 
not bothered to think about how to bypass that problem, otherwise at 
least a few would have written down the correct derivation:


1/sinh(x) = 1/(x + x^3/6 +...) = 1/x 1/(1 + x^2/6 + ...) = 1/x (1 - 
x^2/6 + ...) = 1/x - x/6 +...



Now, I do think that GPT is a great leap forward, I don't want to 
downplay the progress made. But I'm quite skeptical about the idea 
that such systems are approaching human level cognition. The human 
brain is an enormously powerful system, but we don't have free access 
to use the power of our brains to do whatever we want. For example, 
most people cannot multiply two 5 digit numbers in their head, but a 
simple pocket calculator has no problems with that task.


However, some autistic savants do have more of a privileged access to 
use the power of the our brains to do arithmetic. Some of them can do 
calculations that most other people cannot do. In certain tests 
involving magnetic stimulation or inhibition of certain brain parts 
performed on ordinary people, it has been shown that people can 
temporarily gain certain abilities that they normally don't have. For 
example, if you look at a screen with a few hundreds dots on it, can 
you count the number of displayed dots in one second? Most people 
can't, some autistic savants can do this. But in the
experiment with magnetic stimulation or inhibition, the test subjects 
were also able to do this.


When we are consciously using our brains doing complicated things e.g. 
mathematics, then we are using our brains in an extremely inefficient 
way. If we could have an artificial brain similar to our brain but one 
which is completely dedicated to doing mathematics instead of what our 
brains are dedicated to do, then it would be enormously better at math 
than we are. It's then likely that something like the brain of a 
lizard that is fully dedicated to math would already completely 
outclass the world's best mathematicians. Perhaps even the brain of 
insects could perform at the same level of most mathematicians when 
fully dedicated to doing math.


Saibal


On 28-03-2023 23:32, John Clark wrote:

Apparently I'm not the only one who has become obsessed with the
developments in AI that have occurred in the last few weeks, Stephen
Wolfram, the man who developed Mathematica, started Wolfram Alpha, and
wrote the book A New Kind Of Science about cellular automation, has
given two very interesting interviews on the subject.  Wolfram wrote a
plug-in to connect GPT4 with Mathematica because calculation was the
one thing that GPT4 was not very good at but Mathematica is superb at
it; he describes the experience as  "poking at an alien intelligence".

GPT + Wolfram: The Future of AI is Here! [1]

GPT, AI, and AGI with Stephen Wolfram [2]

John K Clark    See what's on my new list at  Extropolis [3]

9eq

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[4].


Links:
--
[1] https://www.youtube.com/watch?v=z5WZhCBRDpU
[2] https://www.youtube.com/watch?v=szxiPMyuMGY
[3] https://groups.google.com/g/extropolis
[4]
https://groups.google.com/d/msgid/everything-list/CAJPayv2%3D_vDQ1fhCpoa3nv20TC66iWGLb1oiEtEmpGfb3YOQiA%40mail.gmail.com?utm_medium=email&utm_source=footer 





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Re: GPT4 + Mathematica

2023-04-02 Thread smitra
While GPT hooked up to Mathematica may greatly improve its performance, 
I would not be impressed when judging that in  terms of approaching 
human level cognition.


A long time ago I was teaching a statistical mechanics class, the 
students had to do a certain calculation for homework that involved 
doing the series expansion of 1/sinh(x) to order x. I was shocked to see 
that none of the students could do it. But some did come up with the 
right answer, they had shown some failed attempts and then wrote that 
they used Mathematica and Mathematica says that the answer is  1/x - x/6 
...


The students couldn't do it because they could not use the Taylor 
expansion formula due to the singularity at x = 0. Most  students had 
not bothered to think about how to bypass that problem, otherwise at 
least a few would have written down the correct derivation:


1/sinh(x) = 1/(x + x^3/6 +...) = 1/x 1/(1 + x^2/6 + ...) = 1/x (1 - 
x^2/6 + ...) = 1/x - x/6 +...



Now, I do think that GPT is a great leap forward, I don't want to 
downplay the progress made. But I'm quite skeptical about the idea that 
such systems are approaching human level cognition. The human brain is 
an enormously powerful system, but we don't have free access to use the 
power of our brains to do whatever we want. For example, most people 
cannot multiply two 5 digit numbers in their head, but a simple pocket 
calculator has no problems with that task.


However, some autistic savants do have more of a privileged access to 
use the power of the our brains to do arithmetic. Some of them can do 
calculations that most other people cannot do. In certain tests 
involving magnetic stimulation or inhibition of certain brain parts 
performed on ordinary people, it has been shown that people can 
temporarily gain certain abilities that they normally don't have. For 
example, if you look at a screen with a few hundreds dots on it, can you 
count the number of displayed dots in one second? Most people can't, 
some autistic savants can do this. But in the
experiment with magnetic stimulation or inhibition, the test subjects 
were also able to do this.


When we are consciously using our brains doing complicated things e.g. 
mathematics, then we are using our brains in an extremely inefficient 
way. If we could have an artificial brain similar to our brain but one 
which is completely dedicated to doing mathematics instead of what our 
brains are dedicated to do, then it would be enormously better at math 
than we are. It's then likely that something like the brain of a lizard 
that is fully dedicated to math would already completely outclass the 
world's best mathematicians. Perhaps even the brain of insects could 
perform at the same level of most mathematicians when fully dedicated to 
doing math.


Saibal


On 28-03-2023 23:32, John Clark wrote:

Apparently I'm not the only one who has become obsessed with the
developments in AI that have occurred in the last few weeks, Stephen
Wolfram, the man who developed Mathematica, started Wolfram Alpha, and
wrote the book A New Kind Of Science about cellular automation, has
given two very interesting interviews on the subject.  Wolfram wrote a
plug-in to connect GPT4 with Mathematica because calculation was the
one thing that GPT4 was not very good at but Mathematica is superb at
it; he describes the experience as  "poking at an alien intelligence".

GPT + Wolfram: The Future of AI is Here! [1]

GPT, AI, and AGI with Stephen Wolfram [2]

John K ClarkSee what's on my new list at  Extropolis [3]

9eq

 --
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[4].


Links:
--
[1] https://www.youtube.com/watch?v=z5WZhCBRDpU
[2] https://www.youtube.com/watch?v=szxiPMyuMGY
[3] https://groups.google.com/g/extropolis
[4]
https://groups.google.com/d/msgid/everything-list/CAJPayv2%3D_vDQ1fhCpoa3nv20TC66iWGLb1oiEtEmpGfb3YOQiA%40mail.gmail.com?utm_medium=email&utm_source=footer


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Re: It's too late to stop GPT4 now

2023-04-02 Thread spudboy100 via Everything List
Maybe someday we humans can do the same? 


-Original Message-
From: John Clark 
To: 'Brent Meeker' via Everything List 
Sent: Sun, Apr 2, 2023 3:35 pm
Subject: It's too late to stop GPT4 now

This video is a summary of several technical papers that have come out in the 
last 72 hours, apparently GPT4 can now improve itself without human help by 
self-reflecting on its errors and can even design better hardware for itself. 
GPT 4 Can Improve Itself by self reflection 
John K Clark    See what's on my new list at  Extropolis
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Re: It's too late to stop GPT4 now

2023-04-02 Thread Jason Resch
"Let an ultraintelligent machine be defined as a machine that can far
surpass all the intellectual activities of any man however clever. Since
the design of machines is one of these intellectual activities, an
ultraintelligent machine could design even better machines; there would
then unquestionably be an 'intelligence explosion,' and the intelligence of
man would be left far behind... Thus the first ultraintelligent machine is
the last invention that man need ever make, provided that the machine is
docile enough to tell us how to keep it under control. It is curious that
this point is made so seldom outside of science fiction. It is sometimes
worthwhile to take science fiction seriously."
-- I.J. Good

On Sun, Apr 2, 2023, 3:35 PM John Clark  wrote:

> This video is a summary of several technical papers that have come out in
> the last 72 hours, apparently GPT4 can now improve itself without human
> help by self-reflecting on its errors and can even design better hardware
> for itself.
>
> GPT 4 Can Improve Itself by self reflection
> 
>
> John K ClarkSee what's on my new list at  Extropolis
> 
> 3zi
>
> --
> You received this message because you are subscribed to the Google Groups
> "Everything List" group.
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> email to everything-list+unsubscr...@googlegroups.com.
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> 
> .
>

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It's too late to stop GPT4 now

2023-04-02 Thread John Clark
This video is a summary of several technical papers that have come out in
the last 72 hours, apparently GPT4 can now improve itself without human
help by self-reflecting on its errors and can even design better hardware
for itself.

GPT 4 Can Improve Itself by self reflection


John K ClarkSee what's on my new list at  Extropolis

3zi

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