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<DIV><FONT size=4>Dear <SPAN
style="FONT-FAMILY: ; TEXT-ALIGN: justify; LINE-HEIGHT: 14pt"><FONT
style="TEXT-ALIGN: justify">Arturo,</FONT></SPAN></FONT></DIV>
<DIV><FONT size=4></FONT> </DIV>
<DIV><SPAN style="FONT-FAMILY: ; TEXT-ALIGN: justify; LINE-HEIGHT: 14pt"><FONT
size=4>1. </FONT></SPAN><FONT style="FONT-SIZE: 13.6pt">In your letter you
wrote: BUT does not describe just POINTS with matching description, but
COUNTLESS other types of matching descriptions! </FONT><BR><SPAN
style="FONT-FAMILY: ; TEXT-ALIGN: justify; LINE-HEIGHT: 14pt"><FONT size=4>I
have read your paper again. </FONT></SPAN></DIV>
<DIV><SPAN style="FONT-FAMILY: ; TEXT-ALIGN: justify; LINE-HEIGHT: 14pt"><FONT
size=4>I looked for proofs of the NOVEL VARIANTS of BUT you have pointed.
</FONT></SPAN></DIV>
<DIV><SPAN style="FONT-FAMILY: ; TEXT-ALIGN: justify; LINE-HEIGHT: 14pt"><FONT
size=4>Sorry, but I could not find any.</FONT></SPAN></DIV>
<DIV><FONT style="size: 4">Please, be so kind to give me links to publications
which contain (preferably - mathematical) <STRONG>proofs of these Novel variants
of BUT</STRONG>. </FONT></DIV>
<DIV> </DIV>
<DIV> </DIV>
<DIV><SPAN style="FONT-FAMILY: ; TEXT-ALIGN: justify; LINE-HEIGHT: 14pt"><FONT
size=4>2. </FONT></SPAN><FONT style="size: +0"><FONT
style="FONT-SIZE: 13.6pt">In your letter you pointed the <SPAN
style="FONT-FAMILY: ; TEXT-ALIGN: justify; LINE-HEIGHT: 14pt"><FONT
style="size: 4"><FONT style="FONT-SIZE: 13.6pt">class
“</FONT></FONT></SPAN><FONT style="FONT-SIZE: 13.6pt">Single
descriptions”. </FONT></FONT></FONT></DIV>
<DIV>
<DIV
style='FONT-SIZE: small; TEXT-DECORATION: none; FONT-FAMILY: "Calibri"; FONT-WEIGHT: normal; COLOR: #000000; FONT-STYLE: normal; DISPLAY: inline'><FONT
size=4 face=Calibri>From the examples you have given, I conclude that this class
contains many quite different sub-classes – from “points” up to “signals” and
“strings”.</FONT></DIV>
<DIV style="FONT: 10pt tahoma">
<DIV><FONT size=4 face=Calibri>I could not find any common features which define
this class. </FONT></DIV>
<DIV><FONT size=4 face=Calibri>Only what I can imagine is that all subclasses
maybe are “mental structures”, it it true?</FONT></DIV>
<DIV><FONT size=4 face=Calibri>If yes, than is this class is the same as
“<STRONG>gestalt</STRONG>”<STRONG> </STRONG>(see <A
href="http://www.users.totalise.co.uk/~kbroom/Lectures/gestalt.htm">http://www.users.totalise.co.uk/~kbroom/Lectures/gestalt.htm</A>)
or as “<STRONG>reflection</STRONG>” (see <A
title=http://marxistphilosophy.org/pavlov.htm
href="http://marxistphilosophy.org/pavlov.htm">http://marxistphilosophy.org/pavlov.htm</A>)?</FONT></DIV>
<DIV><FONT size=4 face=Calibri></FONT> </DIV>
<DIV><FONT size=4 face=Calibri></FONT> </DIV>
<DIV><FONT size=4 face=Calibri>Friendly regards</DIV>
<DIV>
<DIV id=mail-app-auto-default-signature>
<P dir=ltr>Krassimir</P>
<P dir=ltr> </P>
<P dir=ltr> </P>
<P dir=ltr> </P></DIV></FONT></DIV>
<DIV><FONT size=4 face=Calibri></FONT> </DIV>
<DIV><FONT size=4 face=Calibri></FONT> </DIV>
<DIV><FONT size=4 face=Calibri></FONT> </DIV>
<DIV><FONT size=4 face=Calibri></FONT> </DIV>
<DIV><FONT size=4 face=Calibri></FONT> </DIV>
<DIV style="BACKGROUND: #f5f5f5">
<DIV style="font-color: black"><B>From:</B> <A title=tozziarturo@libero.it
href="mailto:tozziarturo@libero.it">tozziarturo@libero.it</A> </DIV>
<DIV><B>Sent:</B> Sunday, November 27, 2016 12:49 AM</DIV>
<DIV><B>To:</B> <A title=fis@listas.unizar.es
href="mailto:fis@listas.unizar.es">fis</A> </DIV>
<DIV><B>Subject:</B> Re: [Fis] Let analyse: A TOPOLOGICAL/ECOLOGICAL APPROACH TO
PERCEPTION</DIV></DIV></DIV>
<DIV> </DIV></DIV>
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style='FONT-SIZE: small; TEXT-DECORATION: none; FONT-FAMILY: "Calibri"; FONT-WEIGHT: normal; COLOR: #000000; FONT-STYLE: normal; DISPLAY: inline'>
<P style="MARGIN-TOP: 0px" dir=ltr>Dear Krassimir,<BR>first of all, thanks for
reading all the paragraphs of our most difficult paper!<BR>We are grateful to
you!</P>
<P dir=ltr>Concerning the BUT (AND ITS NOVEL VARIANTS!) let's recapitulate:</P>
<P dir=ltr>Every feature is embedded in a structure. <BR>The structure displays
n-dimensions. <BR>We call this feature: single description. <BR>Single
descriptions are points, or lines. <BR>Single descriptions are perimeters, or
areas. <BR>Single descriptions are single points. <BR>Single descriptions are
functions, or vectors, or tensors. <BR>Single descriptions are algorithms, or
parameters. <BR>Single descriptions are spatial patterns, or images. <BR>An
illumined surface is a single description. <BR>Single descriptions are groups,
or range of data. <BR>Single descriptions are symbols, or signs. <BR>Single
descriptions are temporal patterns, or movements. <BR>Single descriptions are
particle trajectories, or paths. <BR>Single descriptions are syntactic, or
semantic, constructions. <BR>Single descriptions are thermodynamic parameters,
or signals. <BR>A region is single description. <BR>Single descriptions are
strings.<BR>Single descriptions project onto a n+1 structure. <BR>Single
descriptions stand for two descriptions with matching features on the n+1
<BR>structure.<BR>I call the two above matching features: matching
description.<BR><BR></P>
<P dir=ltr>What does it mean? This means that the BUT does not describe just
POINTS with matching description, but COUNTLESS other types of matching
descriptions! <BR>Therefore, it also describes a visual and an auditory inputs,
if they come from the same environmental source (e.g., in the case of
multisensory integration): this occurs for a MATHEMATICAL concept (not a
qualitative, nor inaccurate, nor a metaphysical concept) coming from
computational proximity, which is a branch of algebraic topology. </P>
<DIV id=mail-app-auto-default-signature>
<P dir=ltr>--<BR>Inviato da Libero Mail per Android</P></DIV>sabato, 26 novembre
2016, 10:12PM +01:00 da Krassimir Markov <A
href="mailto:markov@foibg.com">markov@foibg.com</A>: <BR><BR>
<BLOCKQUOTE id=mail-app-auto-quote
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cite=14801949490000025361>
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<P style="MARGIN: 3pt 0cm 3pt 35.7pt; LINE-HEIGHT: 15pt" align=justify><SPAN
style="FONT-FAMILY: ; LINE-HEIGHT: 14pt"><FONT size=4>Dear Arturo,
Gordana, Joseph, and FIS Colleagues,</FONT></SPAN></P>
<P style="MARGIN: 3pt 0cm 3pt 35.7pt; LINE-HEIGHT: 15pt" align=justify><SPAN
style="FONT-FAMILY: ; LINE-HEIGHT: 14pt"><FONT size=4>The key to our current
discussion I found in the newest work of Arturo (I have read it before last
letter of Arturo :-) ):</FONT></SPAN></P>
<P style="MARGIN: 3pt 0cm 3pt 35.7pt; LINE-HEIGHT: 15pt" align=justify><SPAN
style="FONT-FAMILY: ; LINE-HEIGHT: 14pt"><FONT size=4></FONT></SPAN> </P>
<P style="MARGIN: 3pt 0cm 3pt 35.7pt; LINE-HEIGHT: 15pt"
align=justify><B><SPAN style="FONT-FAMILY: ; LINE-HEIGHT: 14pt"><FONT size=4>A
TOPOLOGICAL/ECOLOGICAL APPROACH TO PERCEPTION</FONT></SPAN></B></P>
<P style="MARGIN: 3pt 0cm 3pt 35.7pt; LINE-HEIGHT: 15pt" align=justify><SPAN
style="FONT-FAMILY: ; LINE-HEIGHT: 14pt"><FONT face="Times New Roman"><A
href="http://biorxiv.org/content/biorxiv/early/2016/11/11/086827.full.pdf"
target=_blank><FONT size=4
face=Calibri>http://biorxiv.org/content/biorxiv/early/2016/11/11/086827.full.pdf</FONT></A>
</FONT></SPAN></P>
<P style="MARGIN: 3pt 0cm 3pt 35.7pt; LINE-HEIGHT: 15pt" align=justify><SPAN
style="FONT-FAMILY: ; LINE-HEIGHT: 14pt"><FONT size=4>or</FONT></SPAN></P>
<P style="MARGIN: 3pt 0cm 3pt 35.7pt; LINE-HEIGHT: 15pt" align=justify><SPAN
style="FONT-FAMILY: ; LINE-HEIGHT: 14pt"><A
href="https://www.researchgate.net/profile/Arturo_Tozzi/publication/310006296_A_TOPOLOGICALECOLOGICAL_APPROACH_TO_PERCEPTION/links/5827617808ae254c50832922.pdf?origin=publication_list"
target=_blank><FONT
size=4>https://www.researchgate.net/profile/Arturo_Tozzi/publication/310006296_A_TOPOLOGICALECOLOGICAL_APPROACH_TO_PERCEPTION/links/5827617808ae254c50832922.pdf?origin=publication_list</FONT></A></SPAN></P>
<DIV
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<DIV style="FONT: 10pt tahoma">
<DIV><FONT size=4 face=Calibri></FONT></DIV>
<DIV><FONT size=4 face=Calibri>What is important is that there exist a non
correct using of the topological theory (concretely the BUT).</FONT> </DIV>
<DIV><FONT size=4 face=Calibri></FONT></DIV>
<DIV><FONT size=4 face=Calibri>It is taken as an idea to explain the
perception when different stimulus create the same meaning in the
consciousness.</FONT> </DIV>
<DIV><FONT size=4 face=Calibri>See the example with ambulance of Figure
5a (visual and sound stimulus) which is connected to the same meaning on
Figure 5b (single point).</FONT> </DIV>
<DIV><FONT size=4 face=Calibri></FONT></DIV>
<DIV><FONT size=4 face=Calibri>But !!!</FONT> </DIV>
<DIV><FONT size=4 face=Calibri></FONT></DIV>
<DIV><FONT size=4 face=Calibri>BUT explicitly proof that (citation from
the Arturo’s paper):</FONT> </DIV>
<DIV><FONT size=4 face=Calibri></FONT></DIV>
<DIV><FONT size=4 face=Calibri>BUT states that, if a single point on a
circumference projects to a higher spatial dimension, it gives rise to two
antipodal points with matching description on a sphere, and vice versa
(<B>Figure 1A</B>) (Borsuk, 1933; Marsaglia, 1972; Matoušek, 2003; Beyer,
2004). This means that the two antipodal points are assessed at one level of
observation in terms of description, while a single point is assessed at a
lower level (Tozzi 2016b), i.e., point location vs. point description. Points
on a sphere are “antipodal”, provided they are diametrically opposite
(Henderson, 1996). </FONT></DIV>
<DIV><FONT size=4 face=Calibri>Examples of antipodal points are the poles of a
sphere. This means, e.g., <STRONG>that there exist on the earth surface at
least two antipodal points with the same temperature and pressure</STRONG>.
BUT looks like a translucent glass sphere between a light source and our eyes:
we watch two lights on the sphere surface instead of one. But the two lights
are not just images, they are also real with observable properties, such as
intensity and diameter.</FONT> </DIV>
<DIV><FONT size=4 face=Calibri></FONT></DIV>
<DIV><FONT size=5 face=Calibri><STRONG>i.e. the antipodal points have the same
characteristics !!!</STRONG></FONT> </DIV>
<DIV><FONT size=4 face=Calibri></FONT></DIV>
<DIV><FONT size=4 face=Calibri><STRONG>This is not valid for the sound and
vision with the same meaning!</STRONG></FONT> </DIV>
<DIV><FONT size=4 face=Calibri></FONT></DIV>
<DIV><FONT size=4 face=Calibri>Nevertheless, Arturo wrote <STRONG>very
important conclusion</STRONG> (citation):</FONT> </DIV>
<P
style="MARGIN: 0cm 0cm 0pt; LINE-HEIGHT: normal; TEXT-AUTOSPACE: ; TEXT-INDENT: 0cm; mso-layout-grid-align: none"
align=left><FONT face=Calibri><FONT size=4><SPAN>Gibson’s work strengthens and
brings to the front the <STRONG>primary question of “what” is
perceived</STRONG>, before questions of </SPAN><SPAN
style="FONT-FAMILY: ; mso-fareast-font-family: calibri; mso-fareast-theme-font: minor-latin; mso-ansi-language: en-us; mso-fareast-language: en-us; mso-bidi-language: ar-sa">mechanisms
and material implementation are introduced (Rao et al., 1997).
</SPAN></FONT></FONT></P>
<DIV><FONT size=4 face=Calibri></FONT></DIV>
<P
style="MARGIN: 0cm 0cm 0pt; LINE-HEIGHT: normal; TEXT-AUTOSPACE: ; TEXT-INDENT: 0cm; mso-layout-grid-align: none"
align=left><FONT size=4 face=Calibri>Finally, I like the conclusion. My remark
is to be more precise when we use mathematical theoretical results.</FONT></P>
<DIV><FONT size=4 face=Calibri></FONT></DIV>
<DIV><FONT size=4 face=Calibri>Friendly regards</FONT> </DIV>
<DIV><FONT size=4 face=Calibri>Krassimir</FONT> </DIV>
<DIV><FONT size=4 face=Calibri></FONT></DIV>
<DIV><FONT size=4 face=Calibri></FONT></DIV>
<DIV><FONT size=4 face=Calibri></FONT></DIV>
<DIV><FONT size=4 face=Calibri></FONT></DIV>
<DIV style="BACKGROUND: #f5f5f5">
<DIV style="font-color: black"><B>From:</B> <A title=joe.brenner@bluewin.ch
href="http://e-aj.my.com/compose/?mailto=mailto%3ajoe.brenner@bluewin.ch"
target=_blank>Joseph Brenner</A> </DIV>
<DIV><B>Sent:</B> Saturday, November 26, 2016 10:05 PM </DIV>
<DIV><B>To:</B> <A title=tozziarturo@libero.it
href="http://e-aj.my.com/compose/?mailto=mailto%3atozziarturo@libero.it"
target=_blank>tozziarturo@libero.it</A> ; <A title=fis@listas.unizar.es
href="http://e-aj.my.com/compose/?mailto=mailto%3afis@listas.unizar.es"
target=_blank>fis</A> </DIV>
<DIV><B>Subject:</B> Re: [Fis] Who may prove that consciousness is an
Euclidean n-space??? </DIV></DIV></DIV>
<DIV></DIV></DIV>
<DIV
style='FONT-SIZE: small; TEXT-DECORATION: none; FONT-FAMILY: "Calibri"; FONT-WEIGHT: normal; COLOR: #000000; FONT-STYLE: normal; DISPLAY: inline'>
<DIV><FONT size=2 face=Arial>Dear FISers,</FONT> </DIV>
<DIV><FONT size=2 face=Arial></FONT></DIV>
<DIV><FONT size=2 face=Arial>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 size=2 face=Arial></FONT></DIV>
<DIV><FONT size=2 face=Arial>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-dimensionality of this dynamic
opposition, </FONT><FONT size=2 face=Arial>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 size=2 face=Arial></FONT></DIV>
<DIV><FONT size=2 face=Arial>Thank you and best wishes,</FONT> </DIV>
<DIV><FONT size=2 face=Arial></FONT></DIV>
<DIV><FONT size=2 face=Arial>Joseph</FONT> </DIV>
<BLOCKQUOTE
style="PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #000000 2px solid; PADDING-RIGHT: 0px; MARGIN-RIGHT: 0px">
<DIV style="FONT: 10pt arial">----- Original Message ----- </DIV>
<DIV
style="BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: black"><B>From:</B>
<A title=tozziarturo@libero.it
href="http://e-aj.my.com/compose/?mailto=mailto%3atozziarturo@libero.it"
target=_blank>tozziarturo@libero.it</A> </DIV>
<DIV style="FONT: 10pt arial"><B>To:</B> <A title=fis@listas.unizar.es
href="http://e-aj.my.com/compose/?mailto=mailto%3afis@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>
<DIV><FONT size=2 face=Arial></FONT><FONT size=2 face=Arial></FONT><FONT
size=2 face=Arial></FONT><FONT size=2 face=Arial></FONT><FONT size=2
face=Arial></FONT><FONT size=2 face=Arial></FONT><FONT size=2
face=Arial></FONT><FONT size=2 face=Arial></FONT><FONT size=2
face=Arial></FONT><FONT size=2 face=Arial></FONT><FONT size=2
face=Arial></FONT><FONT size=2 face=Arial></FONT><FONT size=2
face=Arial></FONT><FONT size=2 face=Arial></FONT><FONT size=2
face=Arial></FONT><FONT size=2 face=Arial></FONT><FONT size=2
face=Arial></FONT><FONT size=2 face=Arial></FONT><FONT size=2
face=Arial></FONT><FONT size=2 face=Arial></FONT><FONT size=2
face=Arial></FONT><FONT size=2 face=Arial></FONT><FONT size=2
face=Arial></FONT><FONT size=2 face=Arial></FONT><FONT size=2
face=Arial></FONT><FONT size=2 face=Arial></FONT><BR></DIV>
<P style="MARGIN-TOP: 0px" dir=ltr>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/plosbiology/article?id=10.1371%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.com/doi/10.1002/jnr.23720/abstract?userIsAuthenticated=false&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>
<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="http://e-aj.my.com/compose/?mailto=mailto%3amarkov@foibg.com"
target=_blank>markov@foibg.com</A>: <BR><BR>
<BLOCKQUOTE
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cite=14801811490000025350>
<DIV>
<DIV>
<DIV>
<DIV dir=ltr>
<DIV style="FONT-SIZE: 14pt; FONT-FAMILY: 'Calibri'; COLOR: #000000">
<P><FONT size=4 face="Times New Roman">Dear FIS colleagues,</FONT></P>
<P><FONT size=4 face="Times New Roman">I think, it is needed to put
discussion on mathematical foundation. Let me remember that:</FONT></P>
<P><FONT size=4 face="Times New Roman"></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"
style="href: 'https://en.wikipedia.org/wiki/Continuous_function'"><STRONG><FONT
size=4>continuous function</FONT></STRONG></A><FONT size=4> from an
</FONT><A title=N-sphere
style="href: 'https://en.wikipedia.org/wiki/N-sphere'"><FONT
size=4><I>n</I>-sphere</FONT></A><FONT size=4> into </FONT><A
title="Euclidean space"
style="href: 'https://en.wikipedia.org/wiki/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"
style="href: 'https://en.wikipedia.org/wiki/Antipodal_point'"><FONT
size=4>antipodal points</FONT></A><FONT size=4> to the same point.
</FONT></FONT></P>
<P><FONT size=4 face="Times New Roman">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 size=4 face="Times New Roman">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 size=4 face="Times New Roman">[ </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 size=4
face="Times New Roman">https://en.wikipedia.org/wiki/Borsuk%E2%80%93Ulam_theorem</FONT></A><FONT
size=4 face="Times New Roman"> ] </FONT></P>
<P><FONT size=4 face="Times New Roman"></FONT> </P>
<P><FONT face="Times New Roman"><FONT size=4>Who may proof that
consciousness is a </FONT><A title="Continuous function"
style="href: 'https://en.wikipedia.org/wiki/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"
style="href: 'https://en.wikipedia.org/wiki/Euclidean_space'"><FONT
size=4><STRONG>Euclidean <I>n</I>-space</STRONG></FONT></A><FONT size=4>
???</FONT></FONT></P>
<P><FONT size=4 face="Times New Roman">After proving these statements we
may think further.</FONT></P>
<P><FONT size=4 face="Times New Roman"></FONT> </P>
<P><FONT size=4 face="Times New Roman">Yes, discussion is interesting but,
I am afraid, it is not so scientific.</FONT></P>
<P><FONT size=4 face="Times New Roman"></FONT> </P>
<P><FONT size=4 face="Times New Roman">Friendly regards</FONT></P>
<P><FONT size=4 face="Times New Roman">Krassimir</FONT></P>
<P><FONT size=4 face="Times New Roman"></FONT> </P>
<P><FONT size=4 face="Times New Roman"></FONT> </P>
<P><FONT size=4 face="Times New Roman"></FONT> </P>
<P><FONT size=4 face="Times New Roman"></FONT></P></DIV></DIV></DIV>
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