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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'>Underdetermined language is great for delegation given some shared knowledge, or a willingness to adopt certain assumptions. It’s terrible when there isn’t shared knowledge. Then you get endless language games. Using formal systems, like code, give LLMs the ability to ensure sound logical entailment by delegating to a deterministic system. Meanwhile, LLMs give users the ability to invert the well-determined semantics, like code, back to natural language. That explanation can be useful for education but is not very good for debugging. For debugging, it is better to nail semantics down and change one thing at a time. Claude and George can switch back and forth. Claude often uses deterministic delegation during quantitative conversations.<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 Nicholas Thompson <thompnickson2@gmail.com><br><b>Date: </b>Monday, June 16, 2025 at 8:01 PM<br><b>To: </b>The Friday Morning Applied Complexity Coffee Group <friam@redfish.com><br><b>Subject: </b>Re: [FRIAM] Entropy RE-redux<o:p></o:p></span></p></div><p class=MsoNormal><span style='font-size:11.0pt'>George is ambivalent on this point but I can make him ambivalent on any point. I think it’s time for me to retire from the disorder once again. I’ve gone back to feeling that I don’t even know enough to ask a question.<o:p></o:p></span></p><div><p class=MsoNormal><span style='font-size:11.0pt'><o:p> </o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'><o:p> </o:p></span></p><div><p class=MsoNormal><span style='font-size:11.0pt'>Sent from my Dumb </span><span style='font-size:17.0pt'>Phone</span><span style='font-size:11.0pt'><o:p></o:p></span></p></div><div><p class=MsoNormal style='margin-bottom:12.0pt'><span style='font-size:11.0pt'><br>On Jun 16, 2025, at 4:03 PM, Frank Wimberly <wimberly3@gmail.com> wrote:<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'><o:p></o:p></span></p><div><div><p class=MsoNormal><span style='font-size:11.0pt'>You've probably done this. Nick.<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'><o:p> </o:p></span></p></div><div><div><p class=MsoNormal><span style='font-size:11.0pt'>Yes, entropy (S) is a state variable in thermodynamics.<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'>Here's what that means:<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'> * Definition of a State Variable: A state variable (or state function) is a property of a thermodynamic system that depends only on the current state of the system, not on the path or process taken to reach that state. If a system is in a particular equilibrium state, its state variables will have specific, unique values.<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'> * Why Entropy is a State Variable:<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'> * Path Independence: The change in entropy between two states is the same regardless of the reversible or irreversible path taken to go from the initial state to the final state.<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'> * Unique Value for a Given State: For any given equilibrium state of a system (defined by other state variables like temperature, pressure, and volume), there is a unique value of entropy.<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'> * Mathematical Property: Mathematically, a quantity is a state variable if its differential is an exact differential, meaning that its integral over a closed path is zero. This is true for entropy.<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'> * Contrast with Path Variables: In contrast, quantities like heat (Q) and work (W) are not state variables. The amount of heat transferred or work done depends entirely on the specific path followed during a process.<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'>In summary, entropy is a fundamental property that characterizes the state of a thermodynamic system and is independent of its history.<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'><o:p> </o:p></span></p></div></div><div><p class=MsoNormal><span style='font-size:11.0pt'><o:p> </o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'>---<br>Frank C. Wimberly<br>140 Calle Ojo Feliz, <br>Santa Fe, NM 87505<br><br>505 670-9918<br>Santa Fe, NM<o:p></o:p></span></p></div></div><p class=MsoNormal><span style='font-size:11.0pt'><o:p> </o:p></span></p><div><div><p class=MsoNormal><span style='font-size:11.0pt'>On Sun, Jun 15, 2025, 9:27 AM Nicholas Thompson <<a href="mailto:thompnickson2@gmail.com">thompnickson2@gmail.com</a>> wrote:<o:p></o:p></span></p></div><blockquote style='border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-right:0in'><div><div><div><p class=MsoNormal><span style='font-size:11.0pt'>Same setup as before. Cylinder with two plungers and a peggable slider at dead center. Lets fill our compartments with bbs of the same volume. Unpeg the divider. Now lets tap on the two opposite plungers with a series of blows of the same average magnitude but different but different positive skew in the distribution of magnitudes. Will the divider move?<o:p></o:p></span></p></div><p class=MsoNormal><span class=gmailsignatureprefix><span style='font-size:11.0pt'>-- </span></span><span style='font-size:11.0pt'><o:p></o:p></span></p><div><div><div><p class=MsoNormal><span style='font-size:11.0pt'>Nicholas S. Thompson<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'>Emeritus Professor of Psychology and Ethology<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'>Clark University<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:11.0pt'><a href="mailto:nthompson@clarku.edu">nthompson@clarku.edu</a><o:p></o:p></span></p></div><p class=MsoNormal><span style='font-size:11.0pt'><a href="https://wordpress.clarku.edu/nthompson">https://wordpress.clarku.edu/nthompson</a><o:p></o:p></span></p></div></div></div></div><p class=MsoNormal><span style='font-size:11.0pt'>.- .-.. .-.. / ..-. --- --- - . .-. ... / .- .-. . / .-- .-. --- -. --. / ... --- -- . / .- .-. . / ..- ... . ..-. ..- .-..<br>FRIAM Applied Complexity Group listserv<br>Fridays 9a-12p Friday St. Johns Cafe / Thursdays 9a-12p Zoom <a href="https://bit.ly/virtualfriam">https://bit.ly/virtualfriam</a><br>to (un)subscribe <a href="http://redfish.com/mailman/listinfo/friam_redfish.com">http://redfish.com/mailman/listinfo/friam_redfish.com</a><br>FRIAM-COMIC <a href="http://friam-comic.blogspot.com/">http://friam-comic.blogspot.com/</a><br>archives: 5/2017 thru present <a href="https://redfish.com/pipermail/friam_redfish.com/">https://redfish.com/pipermail/friam_redfish.com/</a><br> 1/2003 thru 6/2021 <a href="http://friam.383.s1.nabble.com/">http://friam.383.s1.nabble.com/</a><o:p></o:p></span></p></blockquote></div><p class=MsoNormal><span style='font-size:11.0pt'>.- .-.. .-.. / ..-. --- --- - . .-. ... / .- .-. . / .-- .-. --- -. --. / ... --- -- . / .- .-. . / ..- ... . ..-. ..- .-..<br>FRIAM Applied Complexity Group listserv<br>Fridays 9a-12p Friday St. Johns Cafe / Thursdays 9a-12p Zoom https://bit.ly/virtualfriam<br>to (un)subscribe http://redfish.com/mailman/listinfo/friam_redfish.com<br>FRIAM-COMIC http://friam-comic.blogspot.com/<br>archives: 5/2017 thru present https://redfish.com/pipermail/friam_redfish.com/<br> 1/2003 thru 6/2021 http://friam.383.s1.nabble.com/<o:p></o:p></span></p></div></div></div></body></html>