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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 Jerry,</div><div><br /></div><div>I donwloaded nd read <span>"Syntax, Semantics, and the Problem of Identity of Mathematical Items”, but I find it difficult to relate the discussion. I guess that I am not the only one needing help. </span></div><div><span><br /></span></div><div><span>For example: Can you, please explain </span></div>
<div id="x8d5e905882f94cb" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><blockquote cite="3650136B-33C0-45BD-9D53-DF24EB46C312@icloud.com" type="cite" class="cite2"><div class=""><span>"the deep tensions between the Rosen - Husserl - C S Peirce philosophies of mathematics."?</span></div></blockquote><span>It seems to me that all three of them used a definition of information which includes meaning. </span></div><div id="x8d5e905882f94cb" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><span>After Shannon (1948), one can distinguish between information and meaningful information. </span></div><div id="x8d5e905882f94cb" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><span><br /></span></div><div id="x8d5e905882f94cb" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><span>In my opinion, one can study the dynamics of meaning independent of the dynamics of information, and then study the dynamics of meaningful information as an interaction term. </span></div><div id="x8d5e905882f94cb" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><span><br /></span></div><div id="x8d5e905882f94cb" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><span>[...]</span></div><div id="x8d5e905882f94cb" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><span><br /></span><blockquote cite="3650136B-33C0-45BD-9D53-DF24EB46C312@icloud.com" type="cite" class="cite2"><div class=""><span>More specifically, I am referring to the Peircian necessity for indexing symbols prior to creating logical propositions, a consequence of semiosis that is not embraced by Husserl and certainly not addressed by Rosen’s categorical diagrams. </span></div></blockquote><span><div id="x8d5e905882f94cb" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><span>Because the latter two abstracted from the bioogy?</span></div><br /></span><blockquote cite="3650136B-33C0-45BD-9D53-DF24EB46C312@icloud.com" type="cite" class="cite2"><div class=""><span>The indexing of biological symbols denotes the prior indexing of chemical symbols. The intimate entangling of the indexes of chemical and biologic symbols is a mathematical fact that connects the syntax and semantics of molecular biology. </span></div><div class=""><br class="" /></div><div class="">These indices are essential to connecting the permutation groups of atomic numbers to the physical space groups of X-ray crystallography. These indices are also essential to connecting the electrical attractor/repeller formula of the BZ reaction to the physical attractor-repeller formula such as the Rossler chaotic attractor. The former comes to equilibrium, the latter does not!</div><div class=""><br class="" /></div><div class="">Gian-Carlo Rota (discrete MIT math professor/ philosopher) addresses this syntactical <—> semantic distinction in mathematics in "Syntax, Semantics, and the Problem of Identity of Mathematical Items” of <span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class="">Chapter 12 of <b class=""><i class="">Indiscrete Mathematics</i></b> (1997).</span> A difficult read to be sure, but extremely relevant to the failures of some FISers to either prehend, apprehend or comprehend the relative propositions of information transmission. Furthermore, this chapter illuminates several foundational issues of physical complexity theory. <span style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0);" class="">After a couple of decades, I just re-read this chapter last evening.</span> It remains a “thought -energizer” that gracefully transcends academic boundaries from a Husserialian comprehension of mathematics. :-) </div></blockquote><span>Rota is not using this terminology; it is yours. I would particularly be interest in "academic boundaries from a Husserlian comprehension of mathematics"?</span></div><div id="x8d5e905882f94cb" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><span>How do you see this? Please, explain. Do not hesitate to be too long. We may understand easier when there is some redundancy.</span></div><div id="x8d5e905882f94cb" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><span><br /></span><blockquote cite="3650136B-33C0-45BD-9D53-DF24EB46C312@icloud.com" type="cite" class="cite2"><div class=""><span style="font-size: 8pt;">Cheers</span></div><div class=""><br class="" /></div><div class="">Jerry </div></blockquote><span>Thanks in advance. Best, Loet</span></div><div id="x8d5e905882f94cb" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><blockquote cite="3650136B-33C0-45BD-9D53-DF24EB46C312@icloud.com" type="cite" class="cite2"><div class=""><br class="" /></div></blockquote><div><br /></div><div id="signature_old"><div id="xbe2837f008f5434">
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<p class="MsoNormal" style="line-height:normal;" xmlns="http://www.w3.org/TR/REC-html40"><b><font face="Times New Roman" style="font-size: 9pt;">_______________</font></b></p><p class="MsoNormal" style="line-height:normal;" xmlns="http://www.w3.org/TR/REC-html40"><b><font face="Times New Roman" style="font-size: 9pt;"><a href="https://www.springer.com/gp/book/9783030599508"></a>Loet Leydesdorff</font></b></p><p class="MsoNormal" style="line-height:normal;" xmlns="http://www.w3.org/TR/REC-html40"><b><font face="Times New Roman" style="font-size: 9pt;"><br /></font></b></p><div id="x37dfff32a36b4410ad8e891fea6bb1b8"><p class="MsoNormal" xmlns="http://www.w3.org/TR/REC-html40" style="line-height:normal;"><b><font style="font-size: 9pt;" face="Times New Roman"><a href="https://link.springer.com/book/10.1007/978-3-030-59951-5">"The Evolutionary Dynamics of Discusive Knowledge"</a>(Open Access)</font></b></p></div><div id="x37dfff32a36b4410ad8e891fea6bb1b8"></div><p class="MsoNormal" style="line-height: normal;" xmlns="http://www.w3.org/TR/REC-html40"><font face="Times New Roman" style="font-size: 8pt;">Professor emeritus, University of Amsterdam </font></p><p class="MsoNormal" style="line-height:normal;" xmlns="http://www.w3.org/TR/REC-html40"><font style="font-size: 8pt;" face="Times New Roman">
Amsterdam School of Communication Research (ASCoR)<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: 8pt;" face="Times New Roman"><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>
<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"><a href="http://scholar.google.com/citations?user=ych9gNYAAAAJ&hl=en" style="background-color: rgba(0, 0, 0, 0);"><font style="font-size: 8pt;" face="Times New Roman">http://scholar.google.com/citations?user=ych9gNYAAAAJ&hl=en</font></a></p></div><div id="x37dfff32a36b4410ad8e891fea6bb1b8"><font style="font-size: 8pt;" face="Times New Roman">
</font><p class="MsoNormal" xmlns="http://www.w3.org/TR/REC-html40" style="line-height:normal;background-color:rgba(0,0,0,0);"><font style="font-size: 8pt;"><font style="font-size: 8pt;" face="Times New Roman">ORCID: <a href="http://orcid.org/0000-0002-7835-3098">http://orcid.org/0000-0002-7835-3098</a>; </font><span style="font-size: 10pt;"><o:p xmlns:o="urn:schemas-microsoft-com:office:office"></o:p></span></font></p>
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