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                        Da: "Jerry LR Chandler"
    <a class="moz-txt-link-rfc2396E" href="mailto:jerry_lr_chandler@icloud.com"><jerry_lr_chandler@icloud.com></a><br>
    <div class="moz-forward-container">
      <blockquote>
        <blockquote>
          Data: 05/12/2016 0.50<br>
          A: "fis"<a class="moz-txt-link-rfc2396E" href="mailto:fis@listas.unizar.es"><fis@listas.unizar.es></a><br>
          Cc: <a class="moz-txt-link-rfc2396E" href="mailto:tozziarturo@libero.it"><tozziarturo@libero.it></a><br>
          Ogg: Re: [Fis] Who may proof that consciousness is an
          Euclidean n-space ???<br>
          <br>
          <!---->FISers:
          <div class=""><br class="">
          </div>
          <div class="">This is just a short note to communicate about
            two matters of substantial importance with respect to
            foundational issues.</div>
          <div class=""><br class="">
          </div>
          <div class="">Several contributors to this list serve have
            proposed a relationship between phenomena and biological
            structures / processes and mathematics. Perhaps of greatest
            interest have been the informational assertions seeking to
            relate mind / consciousness / brain to either traditional
            mathematical forms and/or Shannon information theory (with
            barely a mention of either the semiotic or empirical
            necessities).</div>
          <div class=""><br class="">
          </div>
          <div class="">A common scientific flaw inhabits these several
            proposals. In my view, this common flaw is the absence of
            the relationships between scientific causality and
            mathematical symbols that are necessary to meet the logic of
            Lesniewski / Tarski, that is, a method to valid the proposed
            methods of representations. (Krassimir’s post touched these
            concerns lightly.)</div>
          <div class=""><br class="">
          </div>
          <div class="">While it is possible to cite hundreds (if not
            thousands) of texts that seek to relate scientific
            phenomenon with causality, one  well-written account
             addresses the logical relations between scientific laws and
            the antecedent causes that generate consequences of
            importance for the study of the information sciences.  see:</div>
          <div class=""><br class="">
          </div>
          <div class=""><span style="font-family: Times; font-size:
              12pt; font-weight: 700;" class="">Studies in the Logic of
              Explanation</span></div>
          <div class="">
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                  <p class=""><span style="font-size: 12.000000pt;
                      font-family: 'Times'" class="">Carl G. Hempel;
                      Paul Oppenheim </span></p>
                  <div class=""><a moz-do-not-send="true"
                      href="http://www.sfu.ca/%7Ejillmc/Hempel%20and%20Oppenheim.pdf"
                      class="">http://www.sfu.ca/~jillmc/Hempel%20and%20Oppenheim.pdf</a></div>
                </div>
              </div>
            </div>
          </div>
          <div class=""><br class="">
          </div>
          <div class=""> I would like to emphasis that scientific
            inquiry necessarily requires the use of multiple symbol
            systems and hence intrinsically depends on the symbols used
            to express scientific laws. </div>
          <div class=""><br class="">
          </div>
          <div class=""><br class="">
          </div>
          <div class="">The second issue is relates to the various
            philosophical perspectives that are related to information
            theory.</div>
          <div class="">The web site </div>
          <div class=""><br class="">
          </div>
          <div class=""><a moz-do-not-send="true"
href="http://www.informationphilosopher.com/solutions/philosophers/bois-reymond/"
              class="">http://www.informationphilosopher.com/solutions/philosophers/bois-reymond/</a></div>
          <div class=""><br class="">
          </div>
          <div class="">present the views on numerous philosophers (see
            list below) AS WELL AS critical perspectives from a physical
            viewpoint.</div>
          <div class=""><br class="">
          </div>
          <div class="">If time permits, I will add to this post in the
            coming week. </div>
          <div class=""><br class="">
          </div>
          <div class="">Cheers</div>
          <div class=""><br class="">
          </div>
          <div class="">Jerry  </div>
          <div class=""><br class="">
          </div>
          <span style="font-family: Arial, Helvetica, sans-serif;
            font-size: 12px; background-color: rgb(238, 238, 238);"
            class="">Philosophers </span><br style="font-family: Arial,
            Helvetica, sans-serif; font-size: 12px; background-color:
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            rgb(238, 238, 238);" class="">Mortimer Adler</a><br
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href="http://www.informationphilosopher.com/solutions/philosophers/alexander/"
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            Helvetica, sans-serif; font-size: 12px; background-color:
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            Helvetica, sans-serif; font-size: 12px; background-color:
            rgb(238, 238, 238);" class="">Louise Antony</a><br
            style="font-family: Arial, Helvetica, sans-serif; font-size:
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            rgb(238, 238, 238);" class="">Augustine</a><br
            style="font-family: Arial, Helvetica, sans-serif; font-size:
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            style="font-family: Arial, Helvetica, sans-serif; font-size:
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            style="font-family: Arial, Helvetica, sans-serif; font-size:
            12px; background-color: rgb(238, 238, 238);" class="">
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href="http://www.informationphilosopher.com/solutions/philosophers/widerker/"
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            Helvetica, sans-serif; font-size: 12px; background-color:
            rgb(238, 238, 238);" class="">David Widerker</a><br
            style="font-family: Arial, Helvetica, sans-serif; font-size:
            12px; background-color: rgb(238, 238, 238);" class="">
          <a moz-do-not-send="true"
href="http://www.informationphilosopher.com/solutions/philosophers/wiggins/"
            style="color: rgb(102, 102, 255); font-family: Arial,
            Helvetica, sans-serif; font-size: 12px; background-color:
            rgb(238, 238, 238);" class="">David Wiggins</a><br
            style="font-family: Arial, Helvetica, sans-serif; font-size:
            12px; background-color: rgb(238, 238, 238);" class="">
          <a moz-do-not-send="true"
href="http://www.informationphilosopher.com/solutions/philosophers/williams/"
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            Helvetica, sans-serif; font-size: 12px; background-color:
            rgb(238, 238, 238);" class="">Bernard Williams</a><br
            style="font-family: Arial, Helvetica, sans-serif; font-size:
            12px; background-color: rgb(238, 238, 238);" class="">
          <a moz-do-not-send="true"
href="http://www.informationphilosopher.com/solutions/philosophers/williamson/"
            style="color: rgb(102, 102, 255); font-family: Arial,
            Helvetica, sans-serif; font-size: 12px; background-color:
            rgb(238, 238, 238);" class="">Timothy Williamson</a><br
            style="font-family: Arial, Helvetica, sans-serif; font-size:
            12px; background-color: rgb(238, 238, 238);" class="">
          <a moz-do-not-send="true"
href="http://www.informationphilosopher.com/solutions/philosophers/wittgenstein/"
            style="color: rgb(102, 102, 255); font-family: Arial,
            Helvetica, sans-serif; font-size: 12px; background-color:
            rgb(238, 238, 238);" class="">Ludwig Wittgenstein</a><br
            style="font-family: Arial, Helvetica, sans-serif; font-size:
            12px; background-color: rgb(238, 238, 238);" class="">
          <a moz-do-not-send="true"
href="http://www.informationphilosopher.com/solutions/philosophers/wolf/"
            style="color: rgb(102, 102, 255); font-family: Arial,
            Helvetica, sans-serif; font-size: 12px; background-color:
            rgb(238, 238, 238);" class="">Susan Wolf</a><br
            style="font-family: Arial, Helvetica, sans-serif; font-size:
            12px; background-color: rgb(238, 238, 238);" class="">
          <br style="font-family: Arial, Helvetica, sans-serif;
            font-size: 12px; background-color: rgb(238, 238, 238);"
            class="">
          <span style="font-family: Arial, Helvetica, sans-serif;
            font-size: 12px; background-color: rgb(238, 238, 238);"
            class="">Scientists </span><br style="font-family: Arial,
            Helvetica, sans-serif; font-size: 12px; background-color:
            rgb(238, 238, 238);" class="">
          <div class=""> </div>
          <div class=""><br class="">
          </div>
          <div class=""><br class="">
            <div>
              <blockquote type="cite" class="">
                <div class="">On Nov 26, 2016, at 12:06 PM, <a
                    moz-do-not-send="true"
                    href="mailto:tozziarturo@libero.it" class="">tozziarturo@libero.it</a>
                  wrote:</div>
                <br class="Apple-interchange-newline">
                <div class="">
                  <p dir="ltr" style="font-family: Helvetica; font-size:
                    18px; font-style: normal; font-variant-caps: normal;
                    font-weight: normal; letter-spacing: normal;
                    orphans: auto; text-align: start; text-indent: 0px;
                    text-transform: none; white-space: normal; widows:
                    auto; word-spacing: 0px; -webkit-text-stroke-width:
                    0px; margin-top: 0px;" class="">Dear Krassimir,<span
                      class="Apple-converted-space"> </span><br class="">
                    Thanks a lot for your question, now the discussion
                    will become hotter!</p>
                  <p dir="ltr" style="font-family: Helvetica; font-size:
                    18px; font-style: normal; font-variant-caps: normal;
                    font-weight: normal; letter-spacing: normal;
                    orphans: auto; text-align: start; text-indent: 0px;
                    text-transform: none; white-space: normal; widows:
                    auto; word-spacing: 0px; -webkit-text-stroke-width:
                    0px;" class="">First of all, we never stated that
                    consciousness lies either on a n-sphere or on an
                    Euclidean n-space.<br class="">
                    Indeed, in our framework, consciousness IS the
                    continuous function.<span
                      class="Apple-converted-space"> </span><br class="">
                    Such function stands for a gauge field that restores
                    the brain symmetries, broken by sensations.<span
                      class="Apple-converted-space"> </span><br class="">
                    Concerning brain and gauge fields, see my PLOS
                    biology paper:<span class="Apple-converted-space"> </span><br
                      class="">
                    <a moz-do-not-send="true"
href="http://journals.plos.org/plosbiology/article?id=10.1371%2Fjournal.pbio.1002400"
                      class="">http://journals.plos.org/plosbiology/article?id=10.1371%2Fjournal.pbio.1002400</a></p>
                  <p dir="ltr" style="font-family: Helvetica; font-size:
                    18px; font-style: normal; font-variant-caps: normal;
                    font-weight: normal; letter-spacing: normal;
                    orphans: auto; text-align: start; text-indent: 0px;
                    text-transform: none; white-space: normal; widows:
                    auto; word-spacing: 0px; -webkit-text-stroke-width:
                    0px;" class="">When consciousness lacks, the
                    inter-dimensional projections are broken, and the
                    nervous higher functions temporarily disappear. <span
                      class="Apple-converted-space"> </span></p>
                  <p dir="ltr" style="font-family: Helvetica; font-size:
                    18px; font-style: normal; font-variant-caps: normal;
                    font-weight: normal; letter-spacing: normal;
                    orphans: auto; text-align: start; text-indent: 0px;
                    text-transform: none; white-space: normal; widows:
                    auto; word-spacing: 0px; -webkit-text-stroke-width:
                    0px;" class="">Concerning the question about which
                    are the manifolds where brain functions lie, it does
                    not matter whether they are spheres, or circles, or
                    concave, or flat structures: we demonstrated that
                    the BUT is valid not just for convex manifolds, but
                    for all the kinds of manifolds. <span
                      class="Apple-converted-space"> </span><br class="">
                    See our:<span class="Apple-converted-space"> </span><br
                      class="">
                    <a moz-do-not-send="true"
href="http://onlinelibrary.wiley.com/doi/10.1002/jnr.23720/abstract?userIsAuthenticated=false&deniedAccessCustomisedMessage="
                      class="">http://onlinelibrary.wiley.com/doi/10.1002/jnr.23720/abstract?userIsAuthenticated=false&deniedAccessCustomisedMessage=</a><br
                      class="">
                  </p>
                  <p dir="ltr" style="font-family: Helvetica; font-size:
                    18px; font-style: normal; font-variant-caps: normal;
                    font-weight: normal; letter-spacing: normal;
                    orphans: auto; text-align: start; text-indent: 0px;
                    text-transform: none; white-space: normal; widows:
                    auto; word-spacing: 0px; -webkit-text-stroke-width:
                    0px;" class="">Therefore, even if you think that
                    brain and biological functions are trajectories
                    moving on concave structures towards lesser
                    energetic levels, as suggested by, e.g.,
                    Fokker-Planck equations, it does not matter: you may
                    always find the antipodal points with matching
                    description predicted by BUT. <span
                      class="Apple-converted-space"> </span></p>
                  <p dir="ltr" style="font-family: Helvetica; font-size:
                    18px; font-style: normal; font-variant-caps: normal;
                    font-weight: normal; letter-spacing: normal;
                    orphans: auto; text-align: start; text-indent: 0px;
                    text-transform: none; white-space: normal; widows:
                    auto; word-spacing: 0px; -webkit-text-stroke-width:
                    0px;" class="">Ciao!</p>
                  <div id="mail-app-auto-default-signature"
                    style="font-family: Helvetica; font-size: 18px;
                    font-style: normal; font-variant-caps: normal;
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                    auto; word-spacing: 0px; -webkit-text-stroke-width:
                    0px;" class="">
                    <p dir="ltr" class="">--<br class="">
                      Inviato da Libero Mail per Android</p>
                  </div>
                  <span style="font-family: Helvetica; font-size: 18px;
                    font-style: normal; font-variant-caps: normal;
                    font-weight: normal; letter-spacing: normal;
                    orphans: auto; text-align: start; text-indent: 0px;
                    text-transform: none; white-space: normal; widows:
                    auto; word-spacing: 0px; -webkit-text-stroke-width:
                    0px; float: none; display: inline !important;"
                    class="">sabato, 26 novembre 2016, 06:23PM +01:00 da
                    Krassimir Markov<span class="Apple-converted-space"> </span></span><a
                    moz-do-not-send="true"
                    href="mailto:markov@foibg.com" style="font-family:
                    Helvetica; font-size: 18px; font-style: normal;
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                    letter-spacing: normal; orphans: auto; text-align:
                    start; text-indent: 0px; text-transform: none;
                    white-space: normal; widows: auto; word-spacing:
                    0px; -webkit-text-size-adjust: auto;
                    -webkit-text-stroke-width: 0px;" class="">markov@foibg.com</a><span
                    style="font-family: Helvetica; font-size: 18px;
                    font-style: normal; font-variant-caps: normal;
                    font-weight: normal; letter-spacing: normal;
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                    text-transform: none; white-space: normal; widows:
                    auto; word-spacing: 0px; -webkit-text-stroke-width:
                    0px; float: none; display: inline !important;"
                    class="">:</span><br style="font-family: Helvetica;
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                  <blockquote id="mail-app-auto-quote"
                    cite="x-msg://63/14801811490000025350"
                    style="font-family: Helvetica; font-size: 18px;
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                    solid; border-left-color: rgb(133, 175, 49); margin:
                    0px 0px 0px 10px; padding: 0px 0px 0px 10px;"
                    class="">
                    <div class="js-helper js-readmsg-msg">
                      <div class="">
                        <div id="style_14801811490000025350_BODY"
                          class="">
                          <div dir="ltr" class="">
                            <div style="font-size: 14pt; font-family:
                              Calibri;" class="">
                              <p class=""><font class="" face="Times New
                                  Roman" size="4">Dear FIS colleagues,</font></p>
                              <p class=""><font class="" face="Times New
                                  Roman" size="4">I think, it is needed
                                  to put discussion on mathematical
                                  foundation. Let me remember that:</font></p>
                              <div class=""> <br
                                  class="webkit-block-placeholder">
                              </div>
                              <p class=""><font class="" face="Times New
                                  Roman"><font class="" size="4">The<span
                                      class="Apple-converted-space"> </span><b
                                      class="">Borsuk–Ulam theorem</b><span
                                      class="Apple-converted-space"> </span>(BUT),
                                    states that every<span
                                      class="Apple-converted-space"> </span></font><a
                                    moz-do-not-send="true"
                                    title="Continuous function" class=""><strong
                                      class=""><font class="" size="4">continuous
                                        function</font></strong></a><font
                                    class="" size="4"><span
                                      class="Apple-converted-space"> </span>from
                                    an<span
                                      class="Apple-converted-space"> </span></font><a
                                    moz-do-not-send="true"
                                    title="N-sphere" class=""><font
                                      class="" size="4"><i class="">n</i>-sphere</font></a><font
                                    class="" size="4"><span
                                      class="Apple-converted-space"> </span>into<span
                                      class="Apple-converted-space"> </span></font><a
                                    moz-do-not-send="true"
                                    title="Euclidean space" class=""><strong
                                      class=""><font class="" size="4">Euclidean<span
                                          class="Apple-converted-space"> </span><i
                                          class="">n</i>-space</font></strong></a><font
                                    class="" size="4"><span
                                      class="Apple-converted-space"> </span>maps
                                    some pair of<span
                                      class="Apple-converted-space"> </span></font><a
                                    moz-do-not-send="true"
                                    title="Antipodal point" class=""><font
                                      class="" size="4">antipodal points</font></a><font
                                    class="" size="4"><span
                                      class="Apple-converted-space"> </span>to
                                    the same point.<span
                                      class="Apple-converted-space"> </span></font></font></p>
                              <p class=""><font class="" face="Times New
                                  Roman" size="4">Here, two points on a
                                  sphere are called antipodal if they
                                  are in exactly opposite directions
                                  from the sphere's center.</font></p>
                              <p class=""><font class="" face="Times New
                                  Roman" size="4">Formally:<span
                                    class="Apple-converted-space"> </span><strong
                                    class="">if</strong><span
                                    class="Apple-converted-space"> </span><span
                                    class=""></span><strong class="">is</strong><span
                                    class="Apple-converted-space"> </span><strong
                                    class="">continuous</strong><span
                                    class="Apple-converted-space"> </span>then
                                  there exists an<span
                                    class="Apple-converted-space"> </span><span
                                    class=""></span>such that:<span
                                    class="Apple-converted-space"> </span><span
                                    class=""></span>.</font></p>
                              <p class=""><font class="" face="Times New
                                  Roman" size="4">[<span
                                    class="Apple-converted-space"> </span></font><a
                                  moz-do-not-send="true"
                                  title="https://en.wikipedia.org/wiki/Borsuk%E2%80%93Ulam_theorem"
href="https://en.wikipedia.org/wiki/Borsuk%E2%80%93Ulam_theorem"
                                  target="_blank" class=""><font
                                    class="" face="Times New Roman"
                                    size="4">https://en.wikipedia.org/wiki/Borsuk%E2%80%93Ulam_theorem</font></a><font
                                  class="" face="Times New Roman"
                                  size="4"><span
                                    class="Apple-converted-space"> </span>]<span
                                    class="Apple-converted-space"> </span></font></p>
                              <div class=""> <br
                                  class="webkit-block-placeholder">
                              </div>
                              <p class=""><font class="" face="Times New
                                  Roman"><font class="" size="4">Who may
                                    proof that consciousness is a <span
                                      class="Apple-converted-space"> </span></font><a
                                    moz-do-not-send="true"
                                    title="Continuous function" class=""><font
                                      class="" size="4"><strong class="">continuous
                                        function</strong></font></a><font
                                    class="" size="4"><span
                                      class="Apple-converted-space"> </span>from
                                    reflected reality ???</font></font></p>
                              <p class=""><font class="" face="Times New
                                  Roman"><font class="" size="4">Who may
                                    proof that consciousness is an<span
                                      class="Apple-converted-space"> </span></font><a
                                    moz-do-not-send="true"
                                    title="Euclidean space" class=""><font
                                      class="" size="4"><strong class="">Euclidean<span
                                          class="Apple-converted-space"> </span><i
                                          class="">n</i>-space</strong></font></a><font
                                    class="" size="4"><span
                                      class="Apple-converted-space"> </span>???</font></font></p>
                              <p class=""><font class="" face="Times New
                                  Roman" size="4">After proving these
                                  statements we may think further.</font></p>
                              <div class=""> <br
                                  class="webkit-block-placeholder">
                              </div>
                              <p class=""><font class="" face="Times New
                                  Roman" size="4">Yes, discussion is
                                  interesting but, I am afraid, it is
                                  not so scientific.</font></p>
                              <div class=""> <br
                                  class="webkit-block-placeholder">
                              </div>
                              <p class=""><font class="" face="Times New
                                  Roman" size="4">Friendly regards</font></p>
                              <p class=""><font class="" face="Times New
                                  Roman" size="4">Krassimir</font></p>
                              <div class=""> <br
                                  class="webkit-block-placeholder">
                              </div>
                              <div class=""> <br
                                  class="webkit-block-placeholder">
                              </div>
                              <div class=""> <br
                                  class="webkit-block-placeholder">
                              </div>
                              <div class=""><br
                                  class="webkit-block-placeholder">
                              </div>
                            </div>
                          </div>
                        </div>
                        <div class="">_______________________________________________<br
                            class="">
                          Fis mailing list<br class="">
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                    </div>
                  </blockquote>
                  <span style="font-family: Helvetica; font-size: 18px;
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                    class="">_______________________________________________</span><br
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                    0px;" class="">
                  <span style="font-family: Helvetica; font-size: 18px;
                    font-style: normal; font-variant-caps: normal;
                    font-weight: normal; letter-spacing: normal;
                    orphans: auto; text-align: start; text-indent: 0px;
                    text-transform: none; white-space: normal; widows:
                    auto; word-spacing: 0px; -webkit-text-stroke-width:
                    0px; float: none; display: inline !important;"
                    class="">Fis mailing list</span><br
                    style="font-family: Helvetica; font-size: 18px;
                    font-style: normal; font-variant-caps: normal;
                    font-weight: normal; letter-spacing: normal;
                    orphans: auto; text-align: start; text-indent: 0px;
                    text-transform: none; white-space: normal; widows:
                    auto; word-spacing: 0px; -webkit-text-stroke-width:
                    0px;" class="">
                  <a moz-do-not-send="true"
                    href="mailto:Fis@listas.unizar.es"
                    style="font-family: Helvetica; font-size: 18px;
                    font-style: normal; font-variant-caps: normal;
                    font-weight: normal; letter-spacing: normal;
                    orphans: auto; text-align: start; text-indent: 0px;
                    text-transform: none; white-space: normal; widows:
                    auto; word-spacing: 0px; -webkit-text-size-adjust:
                    auto; -webkit-text-stroke-width: 0px;" class="">Fis@listas.unizar.es</a><br
                    style="font-family: Helvetica; font-size: 18px;
                    font-style: normal; font-variant-caps: normal;
                    font-weight: normal; letter-spacing: normal;
                    orphans: auto; text-align: start; text-indent: 0px;
                    text-transform: none; white-space: normal; widows:
                    auto; word-spacing: 0px; -webkit-text-stroke-width:
                    0px;" class="">
                  <a moz-do-not-send="true"
                    href="http://listas.unizar.es/cgi-bin/mailman/listinfo/fis"
                    style="font-family: Helvetica; font-size: 18px;
                    font-style: normal; font-variant-caps: normal;
                    font-weight: normal; letter-spacing: normal;
                    orphans: auto; text-align: start; text-indent: 0px;
                    text-transform: none; white-space: normal; widows:
                    auto; word-spacing: 0px; -webkit-text-size-adjust:
                    auto; -webkit-text-stroke-width: 0px;" class="">http://listas.unizar.es/cgi-bin/mailman/listinfo/fis</a></div>
              </blockquote>
            </div>
            <br class="">
          </div>
          <br>
        </blockquote>
        <br>
        <br>
      </blockquote>
      <br>
    </div>
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