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.quote { margin-left: 1em; margin-right: 1em; border-left: 5px #ebebeb solid; padding-left: 0.3em; }--></style></head><body><div>Dear colleagues, </div>
<div><br /></div><div id="x3726e2282106467"><blockquote cite="CAE-Zns93FnKJSAt=7isGvXJY=2YW7ZLJ6AHE8FxgvncAA_UJoA@mail.gmail.com" type="cite" class="cite2"><div><div class="gmail_quote"><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div><div class="gmail_quote"><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div style="word-wrap:break-word;line-break:after-white-space"><div><div>What are erroneous about the following assertions:</div><div>“If entropy was dimensionless, it would not be related to chemical thermodynamics.”</div><div>“If entropy was dimensionless, thermodynamics would not be related to general law of mass action which connects chemical transformations (equations) to dynamics.”</div></div></div></blockquote></div></div></blockquote><div class="gmail_quote">It seems important to distinguish between thermodynamic and probabilistic entropy. Probabilistic entropy = Shannon's H is yet dimensionless.</div></div></div></blockquote><blockquote cite="CAE-Zns93FnKJSAt=7isGvXJY=2YW7ZLJ6AHE8FxgvncAA_UJoA@mail.gmail.com" type="cite" class="cite2"><div class="gmail_quote">S = k(B) * H with the dimensionality Watt/Kelvin inherited from k(B), the Boltzmann constant. </div></blockquote>As a statistic H is less constrained than S as a chemo-physical. </div><div id="x3726e2282106467"><br /></div><div id="x3726e2282106467">For example, in case of a ideal collision between billiard balls, no entropy is generated, but the Kullback-Leibler (1951) divergence (derived from Shannon's H as a dynamic elaboration (Theil, 1972)) will be maximal. </div><div id="x3726e2282106467"><br /></div><div id="x3726e2282106467">Similarly, the mutual information in three dimensions can be negative in the statistical domain, but not in the chemo-physical one. The thermodynamic entropy is the special case (which was historically first) in which the system of reference is composed of positions and momenta. Probabilistic entropy is generated by any redistribution of probabilities. For example, in a system of transactions.</div><div id="x3726e2282106467"><br /></div><div id="x3726e2282106467">As more often, the order in the morphogenesis (S before H) is analytically changed from the perspective of hindsight. H allows us to move to the specification of anticipation (Rosen). Feedback loops may lead to the generation of negative (probabilistic !) entropy. See also: Krippendorff, 2009; Ulanowicz, 1997.</div><div id="x3726e2282106467"><br /></div><div id="x3726e2282106467">
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<span style="font-size: 12pt; font-family: Arial;">Krippendorff, K. (2009). Information of Interactions in Complex Systems. </span><span>
</span><i style="font-size: 12pt;">
<span style="font-family: Arial; font-size: 12pt;">International Journal of General Systems, 38</span>
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</span><span style="font-size: 12pt; font-family: Arial;">(6), 669-680.</span></div><div><span style="font-family: Arial; font-size: 12pt;"><br /></span></div><div><span style="font-family: Arial; font-size: 12pt;">Kullback, S., & Leibler, R. A. (1951). On Information and Sufficiency. </span>
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<span style="font-family: Arial; font-size: 12pt;">The Annals of Mathematical Statistics, 22</span>
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<span style="font-family: Arial; font-size: 12pt;">(1), 79-86.</span></div><div><span style="font-family: Arial; font-size: 12pt;"> </span>
</div></div>
<div id="x3726e2282106467"><span style="font-size: 12pt; font-family: Arial;">Theil, H. (1972). </span><span>
</span><i style="font-size: 12pt;">
<span style="font-family: Arial; font-size: 12pt;">Statistical Decomposition Analysis</span>
</i><span>
</span><span style="font-size: 12pt; font-family: Arial;">. Amsterdam/ London: North-Holland.</span> </div><div id="x3726e2282106467"><br /></div><div id="x3726e2282106467">
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<span style="font-family: Arial; font-size: 12pt;">Ulanowicz, R. E. (1997). </span>
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<span style="font-family: Arial; font-size: 12pt;">Ecology, The Ascendent Perspective</span>
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<span style="font-family: Arial; font-size: 12pt;">. New York: Columbia University Press.</span>
</div><div><span style="font-family: Arial; font-size: 12pt;"><br /></span></div><div><font face="Arial">Best, </font></div><div><font face="Arial">Loet</font></div></div><div id="x3726e2282106467"><div><br /></div><div id="signature_old"><div id="x90920b2acb0849f">
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<p class="MsoNormal" style="line-height:normal;" xmlns="http://www.w3.org/TR/REC-html40"><b><a href="https://www.springer.com/gp/book/9783030599508"></a><span style="font-size:11pt;font-family:'Tahoma',sans-serif ;">Loet Leydesdorff</span></b></p><p class="MsoNormal" style="line-height:normal;" xmlns="http://www.w3.org/TR/REC-html40"><b style="font-size: 14.6667px; font-family: Tahoma, sans-serif;">________________________________</b></p>
<p class="MsoNormal" style="line-height:normal;" xmlns="http://www.w3.org/TR/REC-html40"><font style="font-size: 10pt;"><span style="font-family: Tahoma, sans-serif;">Professor emeritus, University of Amsterdam <br />
Amsterdam School of Communication Research (ASCoR)</span><o:p xmlns:o="urn:schemas-microsoft-com:office:office"></o:p></font></p>
<p class="MsoNormal" style="line-height:normal;" xmlns="http://www.w3.org/TR/REC-html40"><font style="font-size: 10pt;"><span style="font-family: Tahoma, sans-serif;"><a href="mailto:loet@leydesdorff.net" title="mailto:loet@leydesdorff.net">loet@leydesdorff.net </a>; <a href="http://www.leydesdorff.net/" title="http://www.leydesdorff.net/">http://www.leydesdorff.net/</a>
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<p class="MsoNormal" style="line-height:normal;" xmlns="http://www.w3.org/TR/REC-html40"><font style="font-size: 10pt;"><span style="font-family: Tahoma, sans-serif;"><br />
<a href="http://scholar.google.com/citations?user=ych9gNYAAAAJ&hl=en">http://scholar.google.com/citations?user=ych9gNYAAAAJ&hl=en</a></span><o:p xmlns:o="urn:schemas-microsoft-com:office:office"></o:p></font></p>
<p class="MsoNormal" style="line-height:normal;" xmlns="http://www.w3.org/TR/REC-html40"><font style="font-size: 10pt;"><span style="font-family: Tahoma, sans-serif;">ORCID: <a href="http://orcid.org/0000-0002-7835-3098">http://orcid.org/0000-0002-7835-3098</a>;
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<p class="MsoNormal" style="line-height:normal;" xmlns="http://www.w3.org/TR/REC-html40"><span style="font-family: Tahoma, sans-serif;"><font style="font-size: 10pt;"><br /></font></span></p><p class="MsoNormal" style="line-height:normal;" xmlns="http://www.w3.org/TR/REC-html40"><span style="font-family: Tahoma, sans-serif;"><font style="font-size: 10pt;"><b>"The Evolutionary Dynamics of Discursive Knowledge" at</b></font></span></p><p class="MsoNormal" style="line-height:normal;" xmlns="http://www.w3.org/TR/REC-html40"><font style="font-size: 10pt;"><b><o:p xmlns:o="urn:schemas-microsoft-com:office:office"></o:p></b></font></p>
<a href="https://link.springer.com/book/10.1007%2F978-3-030-59951-5"><font style="font-size: 10pt;"><b>https://link.springer.com/book/10.1007%2F978-3-030-59951-5</b></font></a></div>
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