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--></style></head><body lang=EN-US link=blue vlink=purple style='word-wrap:break-word'><div class=WordSection1><p class=MsoNormal><span style='font-size:11.0pt'>“Please reflect on these weights and biases to find patterns associated with arithmetic.”<br>[attach multi-gigabyte file]<o:p></o:p></span></p><p class=MsoNormal><span style='font-size:11.0pt'><o:p> </o:p></span></p><div style='border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0in 0in 0in'><p class=MsoNormal style='margin-bottom:12.0pt'><b><span style='font-size:12.0pt;color:black'>From: </span></b><span style='font-size:12.0pt;color:black'>Friam <friam-bounces@redfish.com> on behalf of steve smith <sasmyth@swcp.com><br><b>Date: </b>Wednesday, February 12, 2025 at 9:33 AM<br><b>To: </b>friam@redfish.com <friam@redfish.com><br><b>Subject: </b>Re: [FRIAM] genai and critical thinking<o:p></o:p></span></p></div><p><o:p> </o:p></p><div><p class=MsoNormal><span style='font-size:11.0pt'>On 2/12/25 4:20 AM, glen wrote:<o:p></o:p></span></p></div><blockquote style='margin-top:5.0pt;margin-bottom:5.0pt'><p class=MsoNormal><span style='font-size:11.0pt'>This was interesting: <br><br>Language Models Use Trigonometry to Do Addition <br><a href="https://arxiv.org/abs/2502.00873">https://arxiv.org/abs/2502.00873</a> <br><br>... definitely not what I'd do. But I'm terrible at addition. <o:p></o:p></span></p></blockquote><p>Fascinating... <o:p></o:p></p><blockquote style='margin-top:5.0pt;margin-bottom:5.0pt'><p>makes me imagine that biology (thinking d'Arcy Thompson and Morphometrics) has been building analogies of slide-rules which do all kinds of arithmetic?<o:p></o:p></p></blockquote><p class=MsoNormal><span style='font-size:11.0pt'><o:p> </o:p></span></p></div></body></html>