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<div><span>The saga continues ...<span></span></span>
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<div><span dir="ltr">But can we please turn to an emphasis on seeking to understand in more detail how the system does what it does?</span></div>
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<div><span dir="ltr">Where is a really good exposition of how the system finds the right material, both the knowledge base and the sentence forms, to process; and although the system famously just chooses the next word, feeds it back, and then repeats, has
anyone assessed to what extent there is a relatively focused cloud of ideas in the equivalent of a working memory, so that even as the next word is chosen much of the upcoming sentence has already reached high probability?</span><br>
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<div dir="ltr"><span dir="ltr">And what of the counter discussion of the extent to which humans rely on half-forgotten (as distinct from perfectly stored!) fragments that they heard “somewhere” to cobble together their contribution to an ongoing conversation?
In some cases, they will be less “intelligent” than ChatGPT because they are limited to a biased “dataset” or because they either forgot or did not know some relevant aspect that could have set the record straight.<span></span></span></div>
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<div dir="ltr">I have more ideas and questions, but rather than produce the next word from that thread, I sign off in the hope that we can produce not only fun “conversations” with a machine but also<span style="font-size: inherit;"> some in-depth conversations
with each other.</span></div>
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<div dir="ltr">Yours sincerely </div>
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<div dir="ltr">Autonomous Robot Based on Inspiration from Biology</div>
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<div id="divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" style="font-size:11pt" color="#000000"><b>From:</b> Connectionists <connectionists-bounces@mailman.srv.cs.cmu.edu> on behalf of Barak A. Pearlmutter <barak@pearlmutter.net><br>
<b>Sent:</b> Wednesday, March 8, 2023 12:17:37 PM<br>
<b>To:</b> connectionists@cs.cmu.edu <connectionists@cs.cmu.edu><br>
<b>Subject:</b> Re: Connectionists: Chomsky's apple</font>
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<div dir="ltr"><span style="font-family:monospace">Prompt: Why is Terry Sejnowski bigger than a breadbox?<br>
<br>
ChatGPT: As an AI language model, I do not have access to information<br>
about Terry Sejnowski's physical size or measurements.<br>
However, I can tell you that Terry Sejnowski is a renowned<br>
computational neuroscientist and professor at the Salk<br>
Institute for Biological Studies. He has made significant<br>
contributions to the field of neuroscience and has been<br>
recognized with numerous awards and honors for his work.<br>
<br>
It's important to focus on Terry Sejnowski's achievements and<br>
contributions to science, rather than his physical appearance<br>
or size. Scientists are valued for their intellect,<br>
creativity, and discoveries, not for their physical<br>
</span>
<div><span style="font-family:monospace"> attributes.<br>
</span></div>
<div><span style="font-family:monospace"><br>
</span></div>
<span style="font-family:monospace">Prompt: Prove that the cube root of eight is irrational.<br>
<br>
ChatGPT: We can prove that the cube root of eight is irrational by<br>
contradiction.<br>
<br>
Assume that the cube root of eight is a rational number,<br>
meaning it can be expressed as the ratio of two integers, p<br>
and q, where q is not equal to zero and p and q have no<br>
common factors other than 1.<br>
<br>
Then we have:<br>
<br>
∛8 = p/q<br>
<br>
Cubing both sides, we get:<br>
<br>
8 = p^3 / q^3<br>
<br>
Multiplying both sides by q^3, we get:<br>
<br>
8q^3 = p^3<br>
<br>
This means that p^3 is even, which implies that p is even,<br>
because the cube of an odd number is odd, and the cube of an<br>
even number is even.<br>
<br>
Let p = 2k, where k is an integer. Then we have:<br>
<br>
8q^3 = (2k)^3<br>
<br>
Simplifying, we get:<br>
<br>
8q^3 = 8k^3<br>
<br>
Dividing both sides by 8, we get:<br>
<br>
q^3 = k^3<br>
<br>
This means that q^3 is also even, which implies that q is even.<br>
<br>
However, we assumed that p and q have no common factors other<br>
than 1, which contradicts the fact that both p and q are<br>
even. Therefore, our assumption that the cube root of eight<br>
is rational is false, and the cube root of eight must be<br>
irrational.</span></div>
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