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    <p>Dear Sung,</p>
    <p>Thank you for sharing with us your interesting ideas based on the
      Peircean triadic approach. It is not by chance that your triad
      exactly corresponds to the Existential Triad, which stratifies the
      whole World into three interrelated components:</p>
    <p>                                                                                   
      Physical World</p>
    <p>                                                                                   
      Mental World</p>
    <p>                                                                                 
      Structural World<br>
    </p>
    <p><span style="font-size: large; font-family: Calibri;"><b>Form (A)
          corresponds to the </b></span><font size="+1"><b>Structural</b></font><span
        style="font-size: large; font-family: Calibri;"><b><font
            size="+1"> </font>World</b></span></p>
    <p><span style="font-size: large; font-family: Calibri;"><b>Shadow
          (B) </b></span><span style="font-size: large; font-family:
        Calibri;"><b><span style="font-size: large; font-family:
            Calibri;"><b>corresponds to </b></span></b></span><span
        style="font-size: large; font-family: Calibri;"><b><span
            style="font-size: large; font-family: Calibri;"><b><span
                style="font-size: large; font-family: Calibri;"><b>the </b></span><span
                style="font-size: large; font-family: Calibri;"><b>Physical
                  World</b></span></b></span></b></span></p>
    <p><span style="font-size: large; font-family: Calibri;"><b>Thought
          (C)</b> </span><span style="font-size: large; font-family:
        Calibri;"><span style="font-size: large; font-family: Calibri;"><b>corresponds
            to the </b></span></span><span style="font-size: large;
        font-family: Calibri;"><span style="font-size: large;
          font-family: Calibri;"><b>Mental World</b></span></span></p>
    <p><br>
    </p>
    <p>So, shadows are indeed real as they belong to the physical world,
      in which we live.</p>
    <p><br>
    </p>
    <p>Sincerely,</p>
    <p>Mark Burgin<br>
    </p>
    <p><br>
    </p>
    <br>
    <div class="moz-cite-prefix">On 2/25/2018 3:04 PM, Sungchul Ji
      wrote:<br>
    </div>
    <blockquote type="cite"
cite="mid:BL2PR14MB098056BDC5A5AA4FEE01BE1593C20@BL2PR14MB0980.namprd14.prod.outlook.com">
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        <p style="margin-top:0;margin-bottom:0">Hi Krassimir,</p>
        <p style="margin-top:0;margin-bottom:0"><br>
        </p>
        <p style="margin-top:0;margin-bottom:0">I agree with you that  "<em
            style="font-family: Calibri; font-size: large; font-weight:
            bold;">The shadows are real</em><span style="font-size:
            large; font-family: Calibri;"> but only a part of the whole.
            What is needed is a systematic research from what they are
            part."</span></p>
        <p style="margin-top:0;margin-bottom:0"><span style="font-size:
            large; font-family: Calibri;"><br>
          </span></p>
        <p style="margin-top:0;margin-bottom:0"><span style="font-size:
            large; font-family: Calibri;">In my previous post,  I was
            suggesting that Shadows are a part of the irreudicible triad
            consisting of
            <b>Form (A), Shadow (B) </b>and<b> Thought (C)</b>.  The
            essential notion of the ITR (Irreducible Triadic realrtion)
            is that A, B, and C cannot be reduced to any one or a
            pair of the triad.  This automatically means that 'Shadow'
            is a part of the whole triad (which is, to me, another name
            for the Ultimate Reality), as Form and Thought are.  In
            other words, the Ultimate Reality is not Form nor Shadow nor
            Thought individually but all of them together, since they
            constitute an irreducible triad.    This idea is expressed
            in 1995  in another way: The Ultimate Reality is the <i>complementary
              union</i> of the
            <i>Visble</i> and the <i>Invisible World</i> (see <b>Table
              1</b> attached).  Apparently a similar idea underlies the
            philosophy of Maurice Merleau-Ponty (1908-1961), according
            to my son, Douglas Sayer Ji (see his semior research thesis
            submitted in 1996 to the Department of Philosophy at Rutgers
            University under the guidance of B. Wilshire, attached). </span></p>
        <p style="margin-top:0;margin-bottom:0"><span style="font-size:
            large; font-family: Calibri;"><br>
          </span></p>
        <p style="margin-top:0;margin-bottom:0"><span style="font-size:
            large; font-family: Calibri;">All the best.</span></p>
        <p style="margin-top:0;margin-bottom:0"><span style="font-size:
            large; font-family: Calibri;"><br>
          </span></p>
        <p style="margin-top:0;margin-bottom:0"><span style="font-size:
            large; font-family: Calibri;">Sung</span></p>
        <p style="text-align: left; margin-top: 0px; margin-bottom:
          0px;">        </p>
        <br>
        <div style="color: rgb(0, 0, 0);">
          <hr style="display:inline-block;width:98%" tabindex="-1">
          <div id="divRplyFwdMsg" dir="ltr"><font style="font-size:11pt"
              face="Calibri, sans-serif" color="#000000"><b>From:</b>
              Fis <a class="moz-txt-link-rfc2396E" href="mailto:fis-bounces@listas.unizar.es"><fis-bounces@listas.unizar.es></a> on behalf of John
              Collier <a class="moz-txt-link-rfc2396E" href="mailto:ag659@ncf.ca"><ag659@ncf.ca></a><br>
              <b>Sent:</b> Sunday, February 25, 2018 2:51 PM<br>
              <b>To:</b> <a class="moz-txt-link-abbreviated" href="mailto:fis@listas.unizar.es">fis@listas.unizar.es</a><br>
              <b>Subject:</b> Re: [Fis] The shadows are real !!!</font>
            <div> </div>
          </div>
          <div style="background-color:#FFFFFF">Daer Krassimir, List<br>
            <br>
            I basically support what you are saying. I understand the
            mathematics you presented, I am good at mathematics and
            studied logic with some of the best. However, and this is a
            big however, giving a mathematical or logical proof by
            itself, in its formalism, does not show anything at all. One
            has to be able to connect teh mathematics to experience in a
            comprehensible way. This was partly the topic of my
            dissertation, and I take a basically Peircean approach,
            though there are others that are pretty strong as well.<br>
            <br>
            I fgenerally skip over the mathematics and look for the
            empirical connections. If I find them, then generally all
            becomes clear. Without this, the formalism is nothing more
            than formalism. It does not help to give formal names to
            things and assume that this identifies things, Often trying
            to follow up approaches kine this is a profound waste of
            time. I try to, and often am able to, express my ideas in a
            nonformal way. Some mathematically oriented colleagues see
            this as automatically defective, since they think that
            formal representation is all that really rigorously explains
            things. This sort of thinking (in Logical Positivism)
            eventually led to its own destruction as people started to
            ask the meaning of theoretical terms and their relation to
            observations. It is a defunct and self destructive
            metaphysics. Irt leads nowhere -- my PhD thesis was about
            this problem. It hurts me to see people making the same
            mistake, especially when it leads them to bizarre
            conclusions that are compatible with the formalism
            (actually, it is provable that almost anything is compatible
            with a specific formalism, up to numerosity).<br>
            <br>
            I don't like to waste my time with such emptiness,<br>
            <br>
            John<br>
            <br>
            <div class="x_moz-cite-prefix">On 2018/02/25 6:22 PM,
              Krassimir Markov wrote:<br>
            </div>
            <blockquote type="cite">
              <div dir="ltr">
                <div style="font-size:14pt; font-family:'Calibri';
                  color:#000000">
                  <div><font size="4">Dear Sung,</font></div>
                  <div> </div>
                  <div><font size="4">I like your approach but I think
                      it is only a part of the whole.</font></div>
                  <div> </div>
                  <div><font size="4">1. <strong><em>The shadows are
                          real</em></strong> but only a part of the
                      whole. What is needed is a systematic research
                      from what they are part.</font></div>
                  <div> </div>
                  <div><font size="4">2. About the whole now I will use
                      the category theory I have seen you like:</font></div>
                  <div> </div>
                  <div><font size="4"><em>CAT<sub>A</sub> => F =>
                        CAT<sub>B</sub> => G => CAT<sub>C</sub></em></font></div>
                  <div><font size="4"><em></em></font> </div>
                  <div><font size="4"><em>CAT<sub>A</sub> => H =>
                        CAT<sub>C</sub></em></font></div>
                  <div><em></em> </div>
                  <div><em><sub><font size="4">F ○ G = H</font></sub></em></div>
                  <div> </div>
                  <div><font size="4">where</font></div>
                  <div> </div>
                  <div><font size="4"><em>F</em>, <em>G</em>, and <em>H</em>
                      are <em><strong>functors</strong></em>;</font></div>
                  <div> </div>
                  <div><font style=""><font size="4"><em>CAT<sub>II</sub>
                          <font style="" face="Symbol">
                            Î</font> CAT</em> is the category of <em><strong>information
                            interaction categories</strong></em>;</font></font></div>
                  <div> </div>
                  <div><font size="4"><em>CAT<sub>A </sub><font
                          face="Symbol">Î</font> CAT<sub>II</sub></em>
                      and
                      <em>CAT<sub>C</sub> <font face="Symbol">Î</font>
                        CAT<sub>II</sub></em>  are the categories of
                      <strong><em>mental models’ categories</em></strong>;</font></div>
                  <div> </div>
                  <div><font size="4"><em>CAT<sub>B</sub> <font
                          face="Symbol">Î</font> CAT<sub>II</sub></em> 
                      is the category of
                      <strong><em>models’ categories</em></strong>.</font></div>
                  <div> </div>
                  <div>
                    <div><font size="4">Of course, I will explain this
                        in natural language (English) in further posts.
                      </font></div>
                  </div>
                  <div> </div>
                  <div><font size="4"><img naturalheight="19"
                        naturalwidth="19" class="x_wlEmoticon
                        x_wlEmoticon-smile" alt="Smile"
                        style="border-style: none; user-select: none;"
                        tabindex="0"
                        src="cid:part1.2D17B7F6.DBEDA938@math.ucla.edu"></font></div>
                  <div>
                    <div><font size="4">;</font></div>
                  </div>
                  <div> </div>
                  <div><font size="4">Dear  Karl,</font></div>
                  <div><font size="4">Thank you for your post – it is
                      very useful and I will discus it in further posts.</font></div>
                  <div><font size="4">;</font></div>
                  <div> </div>
                  <div><font size="4">Dear Pedro,</font></div>
                  <div><font size="4">Thank you for your nice words. </font></div>
                  <div><font size="4">Mathematics is very good to be
                      used when all know the mathematical languages.</font></div>
                  <div><font size="4">Unfortunately, only a few
                      scientists are involved in the mathematical
                      reasoning, in one hand, and, as the Bourbaki
                      experiment had shown, not everything is ready to
                      be formalized.
                    </font></div>
                  <div><font size="4">How much of FIS members understood
                      what I had written above?</font></div>
                  <div><font size="4">The way starts from philosophical
                      reasoning  and only some times ends in
                      mathematical formal explanations.</font></div>
                  <div> </div>
                  <div><font size="4">Friendly greetings</font></div>
                  <div><font size="4">Krassimir</font></div>
                  <div> </div>
                  <div> </div>
                  <div> </div>
                  <div> </div>
                  <div> </div>
                  <div> </div>
                  <div> </div>
                </div>
              </div>
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            <br>
            <div class="x_moz-signature">-- <br>
              John Collier<br>
              Emeritus Professor and Senior Research Associate<br>
              Philosophy, University of KwaZulu-Natal, Durban<br>
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