<div dir="ltr">Dear Colleagues, <div><br></div><div>The nature of the 'space of consciousness' was made implicitly clear in my presentation in April. </div><div>But you have not defined whether you are talking of the space of 'consciousnesses' or only</div><div>the space of their contents. </div><div><br></div><div>Nor whether the contents are limited to facts, ideas, or understandings. </div><div>None of these are digital and you need to specify in detail. </div><div>I am happy to supply specific answers from my model on request.</div><div><br></div><div>All good wishes, </div><div><br></div><div>Alex </div><div><br></div></div><div class="gmail_extra"><br><div class="gmail_quote">On 27 November 2016 at 01:35, Joseph Brenner <span dir="ltr"><<a href="mailto:joe.brenner@bluewin.ch" target="_blank">joe.brenner@bluewin.ch</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><u></u>
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<div><font face="Arial" size="2">Dear FISers,</font></div>
<div><font face="Arial" size="2"></font> </div>
<div><font face="Arial" size="2">At the risk of attracting the anger of all the
mathematicians in the group, I will agree with Arturo, <em>contra
</em>Krassimir. For a non-mathematician like me, a description of complex
dynamic processes such as consciousness and information can be partly
mathematical but need not involve proofs and their reduced logic.</font></div>
<div><font face="Arial" size="2"></font> </div>
<div><font face="Arial" size="2">The question I have is whether the field
description is itself necessary and sufficient and if incomplete, what is
missing. Perhaps it is my intuition that consciousness is both continuous and
discontinuous, and so is its opposite, unconsciousness, which still
involves high-level nervous functions. In my picture, antipodal points are
of little relevance compared to the
non-Euclidean multi-<wbr>dimensionality of this dynamic opposition,
</font><font face="Arial" size="2">moving between identity and diversity, presence
and absence, clarity and vagueness, symmetry and dissymetry, within the same
high overall energy level. In any case, perhaps we can agree that everything
that is moving here is information!</font></div>
<div><font face="Arial" size="2"></font> </div>
<div><font face="Arial" size="2">Thank you and best wishes,</font></div>
<div><font face="Arial" size="2"></font> </div>
<div><font face="Arial" size="2">Joseph</font></div>
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<div style="FONT:10pt arial">----- Original Message ----- </div>
<div style="BACKGROUND:#e4e4e4;FONT:10pt arial"><b>From:</b>
<a title="tozziarturo@libero.it" href="mailto:tozziarturo@libero.it" target="_blank">tozziarturo@libero.it</a> </div>
<div style="FONT:10pt arial"><b>To:</b> <a title="fis@listas.unizar.es" href="mailto:fis@listas.unizar.es" target="_blank">fis</a> </div>
<div style="FONT:10pt arial"><b>Sent:</b> Saturday, November 26, 2016 7:06
PM</div>
<div style="FONT:10pt arial"><b>Subject:</b> Re: [Fis] Who may prove that
consciousness is an Euclidean n-space ???</div>
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<p dir="ltr" style="MARGIN-TOP:0px">Dear Krassimir, <br>Thanks a lot for your
question, now the discussion will become hotter!</p>
<p dir="ltr">First of all, we never stated that consciousness lies either on a
n-sphere or on an Euclidean n-space.<br>Indeed, in our framework,
consciousness IS the continuous function. <br>Such function stands for a gauge
field that restores the brain symmetries, broken by sensations. <br>Concerning
brain and gauge fields, see my PLOS biology paper:
<br><a href="http://journals.plos.org/plosbiology/article?id=10.1371%2Fjournal.pbio.1002400" target="_blank">http://journals.plos.org/<wbr>plosbiology/article?id=10.<wbr>1371%2Fjournal.pbio.1002400</a></p>
<p dir="ltr">When consciousness lacks, the inter-dimensional projections are
broken, and the nervous higher functions temporarily disappear. </p>
<p dir="ltr">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. <br>See our:
<br><a href="http://onlinelibrary.wiley.com/doi/10.1002/jnr.23720/abstract?userIsAuthenticated=false&deniedAccessCustomisedMessage=" target="_blank">http://onlinelibrary.wiley.<wbr>com/doi/10.1002/jnr.23720/<wbr>abstract?userIsAuthenticated=<wbr>false&<wbr>deniedAccessCustomisedMessage=</a><br></p>
<p dir="ltr">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. </p>
<p dir="ltr">Ciao!</p>
<div id="m_-8287976083352609373mail-app-auto-default-signature">
<p dir="ltr">--<br>Inviato da Libero Mail per Android</p></div>sabato, 26
novembre 2016, 06:23PM +01:00 da Krassimir Markov <a href="mailto:markov@foibg.com" target="_blank">markov@foibg.com</a>:<br><br>
<blockquote id="m_-8287976083352609373mail-app-auto-quote" style="PADDING-RIGHT:0px;PADDING-LEFT:10px;PADDING-BOTTOM:0px;MARGIN:0px 0px 0px 10px;BORDER-LEFT:#85af31 1px solid;PADDING-TOP:0px" cite="http://14801811490000025350">
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<div dir="ltr">
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<p><font face="Times New Roman" size="4">Dear FIS colleagues,</font></p>
<p><font face="Times New Roman" size="4">I think, it is needed to put
discussion on mathematical foundation. Let me remember that:</font></p>
<p><font face="Times New Roman" size="4"></font> </p>
<p><font face="Times New Roman"><font size="4">The <b>Borsuk–Ulam theorem</b>
(BUT), states that every </font><a title="Continuous function"><strong><font size="4">continuous function</font></strong></a><font size="4"> from an
</font><a title="N-sphere"><font size="4"><i>n</i>-sphere</font></a><font size="4"> into </font><a title="Euclidean space"><strong><font size="4">Euclidean <i>n</i>-space</font></strong></a><font size="4"> maps some
pair of </font><a title="Antipodal point"><font size="4">antipodal points</font></a><font size="4"> to the same point.
</font></font></p>
<p><font 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><font face="Times New Roman" size="4">Formally: <strong>if</strong>
<span><span style="DISPLAY:none">f : <em>S<sup> n</sup> → R</em>
<sup>n</sup> </span></span> <strong>is</strong>
<strong>continuous</strong> then there exists an <span><span style="DISPLAY:none">x ∈ S n </span></span> such that: <span><span style="DISPLAY:none">f ( − x ) = f ( x )</span></span>.</font></p>
<p><font face="Times New Roman" size="4">[ </font><a title="https://en.wikipedia.org/wiki/Borsuk%E2%80%93Ulam_theorem" href="https://en.wikipedia.org/wiki/Borsuk%E2%80%93Ulam_theorem" target="_blank"><font face="Times New Roman" size="4">https://en.wikipedia.org/wiki/<wbr>Borsuk%E2%80%93Ulam_theorem</font></a><font face="Times New Roman" size="4"> ] </font></p>
<p><font face="Times New Roman" size="4"></font> </p>
<p><font face="Times New Roman"><font size="4">Who may proof that
consciousness is a </font><a title="Continuous function"><font size="4"><strong>continuous function</strong></font></a><font size="4"> from
reflected reality ???</font></font></p>
<p><font face="Times New Roman"><font size="4">Who may proof that
consciousness is an </font><a title="Euclidean space"><font size="4"><strong>Euclidean <i>n</i>-space</strong></font></a><font size="4">
???</font></font></p>
<p><font face="Times New Roman" size="4">After proving these statements we may
think further.</font></p>
<p><font face="Times New Roman" size="4"></font> </p>
<p><font face="Times New Roman" size="4">Yes, discussion is interesting but, I
am afraid, it is not so scientific.</font></p>
<p><font face="Times New Roman" size="4"></font> </p>
<p><font face="Times New Roman" size="4">Friendly regards</font></p>
<p><font face="Times New Roman" size="4">Krassimir</font></p>
<p><font face="Times New Roman" size="4"></font> </p>
<p><font face="Times New Roman" size="4"></font> </p>
<p><font face="Times New Roman" size="4"></font> </p>
<p><font face="Times New Roman" size="4"></font></p></div></div></div>
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<br></blockquote></div><br><br clear="all"><div><br></div>-- <br><div class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div><span style="font-family:arial,sans-serif;font-size:13px;border-collapse:collapse">Alex Hankey M.A. (Cantab.) PhD</span><span style="font-family:arial,sans-serif;font-size:13px;border-collapse:collapse"> (M.I.T.)<br>Distinguished Professor of Yoga and Physical Science,<br>
SVYASA, Eknath Bhavan, 19 Gavipuram Circle<br>
Bangalore 560019, Karnataka, India <br>Mobile (Intn'l): +44 7710 534195 </span><span style="font-family:arial,sans-serif;font-size:13px;border-collapse:collapse"></span><div><span style="font-family:arial,sans-serif;font-size:13px;border-collapse:collapse">Mobile (India) +91 900 800 8789</span></div><div><span style="font-family:arial,sans-serif;font-size:13px;border-collapse:collapse"><div style="font-size:12.8px">____________________________________________________________</div><div style="font-size:12.8px"><span style="font-family:georgia,serif"><br></span></div><div style="font-size:12.8px"><span style="font-family:georgia,serif"><a href="http://www.sciencedirect.com/science/journal/00796107/119/3" style="color:rgb(17,85,204)" target="_blank">2015 JPBMB Special Issue on Integral Biomathics: Life Sciences, Mathematics and Phenomenological Philosophy</a></span></div></span></div></div></div></div>
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