Allan Snyder's research group has done these experiments:

http://www.centreforthemind.com/publications/SavantNumerosity.pdf http://www.centreforthemind.com/images/savantskills.pdf Saibal On 03-04-2023 01:10, Brent Meeker wrote:

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 itsperformance, I would not be impressed when judging that in terms ofapproaching human level cognition.A long time ago I was teaching a statistical mechanics class, thestudents had to do a certain calculation for homework that involveddoing the series expansion of 1/sinh(x) to order x. I was shocked tosee that none of the students could do it. But some did come up withthe right answer, they had shown some failed attempts and then wrotethat they used Mathematica and Mathematica says that the answer is1/x - x/6 ...The students couldn't do it because they could not use the Taylorexpansion formula due to the singularity at x = 0. Most students hadnot bothered to think about how to bypass that problem, otherwise atleast 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 todownplay the progress made. But I'm quite skeptical about the ideathat such systems are approaching human level cognition. The humanbrain is an enormously powerful system, but we don't have free accessto 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 asimple pocket calculator has no problems with that task.However, some autistic savants do have more of a privileged access touse the power of the our brains to do arithmetic. Some of them can docalculations that most other people cannot do. In certain testsinvolving magnetic stimulation or inhibition of certain brain partsperformed on ordinary people, it has been shown that people cantemporarily gain certain abilities that they normally don't have. Forexample, if you look at a screen with a few hundreds dots on it, canyou count the number of displayed dots in one second? Most peoplecan't, some autistic savants can do this. But in theexperiment with magnetic stimulation or inhibition, the test subjectswere 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 inefficientway. If we could have an artificial brain similar to our brain but onewhich is completely dedicated to doing mathematics instead of what ourbrains are dedicated to do, then it would be enormously better at maththan we are. It's then likely that something like the brain of alizard that is fully dedicated to math would already completelyoutclass the world's best mathematicians. Perhaps even the brain ofinsects could perform at the same level of most mathematicians whenfully 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, StephenWolfram, the man who developed Mathematica, started Wolfram Alpha,andwrote the book A New Kind Of Science about cellular automation, hasgiven two very interesting interviews on the subject. Wolfram wroteaplug-in to connect GPT4 with Mathematica because calculation was the one thing that GPT4 was not very good at but Mathematica is superb atit; he describes the experience as "poking at an alienintelligence".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 -- You received this message because you are subscribed to the Google Groups "Everything List" group.To unsubscribe from this group and stop receiving emails from it,sendan email to everything-list+unsubscr...@googlegroups.com. To view this discussion on the web visithttps://groups.google.com/d/msgid/everything-list/CAJPayv2%3D_vDQ1fhCpoa3nv20TC66iWGLb1oiEtEmpGfb3YOQiA%40mail.gmail.com[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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