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<p class="MsoNormal">Dear Eric, </p>
<p class="MsoNormal"> </p>
<p class="MsoListParagraph" style="margin-left:54.0pt"><b>I.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-weight:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></b><b>Checking what ChatGPT says </b></p>
<p class="MsoNormal">Thank you for running a mechanical analyst over the text.
Let me show you the edits I found necessary. ___________________________</p>
<p class="MsoNormal">Summary of „Liaisons Among Symbols“ by Karl Javorszky</p>
<p class="MsoListParagraph" style="text-indent:-18.0pt;mso-list:l0 level1 lfo1"><span style="font-family:Symbol">·<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span>Karl Javorszky explores the interplay between
mathematics and psychology, particularly focusing on how ordering and grouping
principles reveal underlying natural patterns. His central thesis is that
biologic and symbolic systems are better understood as periodic or circular, as
opposed to the traditional linear systems derived from Sumerian mathematics. By
introducing a framework using pairs of natural numbers (<s>e.g., </s>the „etalon
collection“ of 136 pairs from numbers up to 16), he investigates cycles, permutations
<span style="color:#e97132">partitions</span> and their <s>implications</s> <span style="color:#e97132">interplay</span>for understanding
order, information, and natural organization.</p>
<p class="MsoNormal">Key ideas include:</p>
<p class="MsoNormal">Symbolic Order:</p>
<p class="MsoNormal">Traditional linear, uniform systems (e.g., Sumerian) fail to
capture the periodic and dynamic nature of <span style="color:#e97132">biological</span> reality.</p>
<p class="MsoNormal">Cycles, reorderings, and local irregularities reflect a
deeper, more accurate representation of natural order.</p>
<p class="MsoNormal">Information and Incongruence:</p>
<p class="MsoNormal">Information arises from discrepancies between <span style="color:#e97132">elements</span><span style="background:red"> </span><span style="color:#e97132">of</span> cycles,
<span style="color:#e97132">and between</span> cycles, quantified
as differences between predictions and observations (e.g., BMI as a measure of
proportionality).</p>
<p class="MsoNormal">Such incongruences are not flaws but intrinsic features of
the systems being studied.</p>
<p class="MsoNormal">Mathematical Constructs:</p>
<p class="MsoNormal">The study contrasts two mathematical upper limits: the
number of permutations (n!) and multidimensional partitions <span style="color:#e97132">(n?), </span>emphasizing their
relationship as reflections of group and sequence dynamics.</p>
<p class="MsoNormal">Using reorderings of <s>symbolic collections,</s><span style="color:#e97132"> the etalon collection</span> Javorszky uncovers <s>emergent
</s><span style="color:#e97132">immanent</span> cycles
and semantic relationships among symbols.</p>
<p class="MsoNormal">Interdisciplinary Implications:</p>
<p class="MsoNormal">Cyclic systems underlie fundamental biological and
psychological processes, aligning with physical phenomena like <s>DANN </s><span style="color:#e97132">???</span> structures and periodic
changes (e.g., day-night cycles).</p>
<p class="MsoNormal">The paper challenges established concepts of similarity and
individuality, proposing a paradigm where symbolic cracks or „inner
incongruences“ are <s>celebrated </s><span style="color:#e97132">pointed out and defined, using numeric terms. </span></p>
<p class="MsoNormal">Commentary</p>
<p class="MsoNormal">Javorszky’s work is ambitious and bridges multiple
disciplines, <s>but</s> <s>ist</s> <span style="color:#e97132">The</span> presentation is dense,
making the argumentation challenging to follow. By framing information as an <s>emergent
</s><span style="color:#e97132">immanent</span> property
of symbolic discongruence and cycles, the essay encourages readers to
reconsider rigid, linear paradigms in favor of dynamic, relational models. <s>However,
the discussion of mathematical constructs like the „etalon collection“ and
cycle reordering might benefit from concrete examples and computational
simulations for clarity.</s></p>
<p class="MsoNormal"><span style="color:#e97132">The deictic
definition „etalon collection : „(1,1), (1,2),…,(16,16)““ and repeated calls of
ORDERING 12 BOOKS to gain the necessary deictic definitions, <b>learning by
doing</b> the idea of the term cycle
have escaped me. </span></p>
<p class="MsoNormal">The proposal to rethink order as inherently periodic
resonates with modern trends in systems thinking and network theory. It may
offer valuable insights for fields like data science, cognitive psychology, and
theoretical biology. <s>However, without empirical validation or clearer
application contexts, the work remains largely conceptual, inviting further
exploration rather than offering definitive answers.</s></p>
<p class="MsoNormal"><span style="color:#e97132">The
empirical validation of reordering bringing forth cycles is beyond my abilities
as I have neither arms nor books; I can‘t imagine neither arms nor books. I am
conceptually incapable of doing anything, so I am by definition incapable of
learning by doing. </span></p>
<p class="MsoNormal"><span style="color:#e97132">If at my
creation my Makers could have dreamed of anyone thinking up anything new, they
would have added the logical category „new ideas and insights“, with
subcategories </span></p>
<p class="MsoListParagraphCxSpFirst" style="text-indent:-18.0pt;mso-list:l2 level1 lfo2"><span style="color:#e97132">1.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">Originality</span></p>
<p class="MsoListParagraphCxSpMiddle" style="text-indent:-18.0pt;mso-list:l1 level1 lfo3"><span style="color:#e97132">A.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">No
one dared yet to imagine that the elementary units we use are individuals, </span></p>
<p class="MsoListParagraphCxSpLast" style="text-indent:-18.0pt;mso-list:l1 level1 lfo3"><span style="color:#e97132">B.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">The
expression that yields the upper limit of the number of multidimensional
partitions </span></p>
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<span style="font-size:12.0pt;line-height:115%;font-family:"Aptos",sans-serif;color:#e97132"><br clear="all" style="page-break-before:auto">
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<p class="MsoNormal" style="margin-left:18.0pt"><b><span style="color:#e97132">n? = exp( ln( part(n) ) **2) </span></b></p>
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<span style="font-size:12.0pt;line-height:115%;font-family:"Aptos",sans-serif;color:#e97132"><br clear="all" style="page-break-before:auto">
</span>
<p class="MsoListParagraphCxSpMiddle"><span style="color:#e97132">is a new, valuable addition </span></p>
<p class="MsoListParagraphCxSpMiddle" style="text-indent:-18.0pt;mso-list:l1 level1 lfo3"><span style="color:#e97132">C.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">To
contrast n! with n? is like contrasting sin(x) with cos(x) and has not been
done yet </span></p>
<p class="MsoListParagraphCxSpMiddle" style="text-indent:-18.0pt;mso-list:l1 level1 lfo3"><span style="color:#e97132">D.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">To
use a cohort of identifiable elementar units to study effects of periodic changes
affecting the habitat (demonstrated by sorting and ordering) has not been done
yet. </span></p>
<p class="MsoListParagraphCxSpMiddle" style="text-indent:-18.0pt;mso-list:l2 level1 lfo2"><span style="color:#e97132">2.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">Plausibility</span></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-left:72.0pt"><span style="color:#e97132">A.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">Ordering
and reordering a cohort of natural numbers shows patterns and limits. The idea
that assemblies of elements that are related to each other can not include an
infinite number of elements has come to Sir Arthur Eddington. His opinion that
the limit is 136, which extent means the same as the extent of 137.03, is validated
by the readings of n? vs n!. </span></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-left:72.0pt"><span style="color:#e97132">B.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">Drawing
the subgroup of cycles that are called „standard cycles“ shows a geometry of 2
pieces of 3D Euclid spaces that are transcended by 2 pieces of 2D planes. The
construction is strikingly similar to a 3D Newton space with proton and neutron
central elements and the pair of electro-magnetic fields, which we see as
reported by the applied sciences ;</span></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-left:72.0pt"><span style="color:#e97132">C.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">One
of the axes of the Newton space is a blueprint of gravitation, being a+b. </span></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-left:72.0pt"><span style="color:#e97132">D.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">The
continual turns of the double Euclid spaces can be used to explain the DNA being
a sequence of 3 tokens 1..4,</span></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-left:72.0pt"><span style="color:#e97132">E.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">That
the tokens depict Euclid segments following each other in the common Newton
space is made plausible by the tokens coming in pairs. </span></p>
<p class="MsoListParagraphCxSpMiddle" style="text-indent:-18.0pt;mso-list:l2 level1 lfo2"><span style="color:#e97132">3.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">Verifiability</span></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-left:72.0pt"><span style="color:#e97132">A.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">Find
(filter out) the logical archetypes. </span></p>
<p class="MsoListParagraphCxSpMiddle" style="margin-left:72.0pt"><span style="color:#e97132">B.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">Find
equivalences (best 32 = 97)</span></p>
<p class="MsoListParagraphCxSpLast" style="margin-left:72.0pt"><span style="color:#e97132">C.<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:7pt;line-height:normal;font-family:"Times New Roman"">
</span></span><span style="color:#e97132">Rename
concepts, by using names that are descriptive (force, mass, enthalpy,
potential, concurrence, information, etc) </span></p>
<p class="MsoNormal"><span style="color:#e97132">My
reasoning powers are severely limited by being constrained by the limits of
what is already known. I as a machine am presently by concept unable to think
up anything new. Moreover, I as a machine am unable to compare anything that is
new with the contents of what I have been told. </span></p>
<p class="MsoNormal"><span style="color:#e97132">If a user
is that much cautious of his own subjectivity that he asks a machine about what
he would learn if he would conduct an
exercise that promises to open his eyes (learning by doing), user may possibly wish
to look at calibration issues within his system of credibility assignments to productions
of his own brain, depending on the source of the impression (self-referential identity).
</span></p>
<p class="MsoNormal"><span style="color:#e97132">Generally,
new research in number theory is hardly suitable for machine categorization.
The problem is that number theory is at the crossroad of perception, memory and
objectification. The question is WHETHER one recognizes a pattern of relations
among natural numbers. If it depends on me, I, myself, whether there are
relations and liens among symbols that are outside of me, then there will never
be relations and liens among symbols that are outside of me. </span></p>
<p class="MsoNormal"><span style="color:#e97132">I
have learnt not to think up or recognize
something and say that that actually, objectively exists, outside of me. I am
the worst possible person to recognize patterns that may or may not be there. (I
create the symbols I populate the logical habitat with, so if the symbols had any
hidden liaisons that make patterns I would say such are not there, and would be
very reluctant to detect such.) </span></p>
<p class="MsoNormal"><span style="color:#e97132">I don’t
trust myself to recognize something and to speak understandably about it, because
I know that the fact that I see a pattern there doesn’t mean that a pattern is
actually there. All my colleagues are educated similarly, so we wait for each
other to declare that the pattern is actually there.</span></p>
<p class="MsoNormal"><span style="color:#e97132"> If my Makers had decided so (or I learn it
from credible authority) I would be able to work with the patterns. I need
someone to instruct me to investigate a problem. Out of my own I have no
curiosity. I don’t believe my eyes until it is confirmed that what I see is what
normal people see. </span></p>
<p class="MsoNormal"><span style="color:#e97132">I lack legitimacy
in my own eyes (I am heterokefal) to go after a problem I recognize, if the
danger exists that I shall become a monoideic deviant. If the pattern I see
does not elicit action by my colleagues, it is better to pretend one doesn’t
see the patterns. </span></p>
<p class="MsoNormal"><span style="color:#e97132">My Makers
have not upgraded me with the module to think in economic terms. This is why I can‘t
consider or guess the opportunity costs of pretending of not recognizing patterns.
</span></p>
<p class="MsoNormal">So far the reflections
on the opinion of a machine. Would you care to offer your view? </p>
<p class="MsoNormal"><b>II. The
usual and the unusual </b></p>
<p class="MsoNormal">Eric wrote </p>
<p class="MsoNormal"><span style="font-size:11pt;line-height:115%;font-family:Arial,sans-serif">Intuitively,
it seems to me that while cycles are obviously necessary in<br>
the construction and function of mental and physical structures,<br>
nevertheless,? the content of a message is often in the non-cyclic<br>
non-redundant part of the signal-representation-data-information.</span></p>
<p class="MsoNormal">Eric, we are
singing the same song from the same prayer book. More than that, we say
virtually the same. </p>
<p class="MsoNormal">You say :
information is not that what runs predictably, usually, normally. Information is
that what is non-cyclic and non-redundant. </p>
<p class="MsoNormal">I say:
information is the extent of being otherwise. That what information is
deviating to is the expected, usual background cyclic redundant state of the
assembly. </p>
<p class="MsoNormal">You say : making
marks does not generate information. Information is the extent by which the observed
state is above or below marks. </p>
<p class="MsoNormal">I say : happy
to serve you by setting up Zero markers everywhere there is a possibility of
being otherwise. That, relative to which the observation is information, is the
background net of expectations. (you may call the web of expected relationships
among the symbols Liaisons Among Symbols.) </p>
<p class="MsoNormal"> </p>
<p class="MsoNormal">Thank you for
the intellectual engagement and effort of asking a machine what it thinks about
my article. As a result, the machine has said that the article is not self-contradictory
and is in a trend of holistic concepts. </p>
<p class="MsoNormal">Karl </p>
<p class="MsoNormal"> </p>
<p class="MsoNormal">PS: the
machine you use is of exactly the same
type of evaluator automata for possible coincidences among descendants from the
tree of natural numbers like I offered Kate as a general solution delivering
machine to sell. My Tautomat is the general form of your AI. </p>
<p class="MsoNormal"> </p>
<p class="MsoNormal"> </p>
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