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<p style="margin-top:0;margin-bottom:0"><span>Hi FISers,</span></p>
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</span></p>
<p style="margin-top:0;margin-bottom:0"><span>(<b>1</b>) Perhaps this has been discussed already either on this lsit or elsewhere, i.e, the possible connection between the <i>Irreducible Triadic Relation</i> (ITR) and <i>Plato's Allegory of the Cave </i>(PAC).
Regardless, I would like to propose below my own version of the relation between ITR and PAC.</span></p>
<p style="margin-top:0;margin-bottom:0"><span><br>
</span></p>
<p style="margin-top:0;margin-bottom:0"><span><br>
</span></p>
<p style="text-align: center; margin-top: 0px; margin-bottom: 0px;"><span><span style="font-variant-numeric: normal; font-variant-east-asian: normal; background-color: transparent; font-size: 11pt; font-family: Arial; vertical-align: baseline; white-space: pre-wrap;"> <img size="41919" contenttype="image/png" id="671564_rs|3" tabindex="0" style="user-select: none; width: 305px; height: 236.578px;" width="305" height="236" src="cid:5ffda82e-0661-4afd-8e02-6119cbe799d2"></span></span></p>
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<div style="text-align: center;"><a href="https://philosophyzer.wordpress.com/2012/09/21/the-allegory-of-the-cave-by-plato-summary-and-meaning/" class="OWAAutoLink" id="LPlnk680473" previewremoved="true" style="background-color: transparent; font-family: Arial; font-size: 11pt; white-space: pre-wrap;">https://philosophyzer.wordpress.com/2012/09/21/the-allegory-of-the-cave-by-plato-summary-and-meaning/</a></div>
<span style="font-size: 14.6667px; white-space: pre-wrap;">
<div style="text-align: center;"><font face="Arial"><br>
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<p></p>
<p style="margin-top:0;margin-bottom:0"><span><span style="font-variant-numeric: normal; font-variant-east-asian: normal; background-color: transparent; font-size: 11pt; font-family: Arial; vertical-align: baseline; white-space: pre-wrap;">(<b>2</b>) We can
represent ITR diagrammatically as shown in the legend to<b> Table 1 </b>which is also known as the
<i>commutative triangle</i> in category theory. As I summarized in the main body of
<b>Table 1</b>, the 3 nodes (A, B, & C) and 3 edges (f, g, & h) of the ITR diagram have specific examples in three different systems -- (i) Plato's cave, (ii) natural science, and (iii) semiotics.</span></span></p>
<p style="margin-top:0;margin-bottom:0"><span><span style="font-variant-numeric: normal; font-variant-east-asian: normal; background-color: transparent; font-size: 11pt; font-family: Arial; vertical-align: baseline; white-space: pre-wrap;"><br>
</span></span></p>
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<p style="margin-top:0;margin-bottom:0"><span id="docs-internal-guid-a8670926-cb31-9524-06be-eb597ff8e41e"></p>
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<colgroup><col width="97"><col width="76"><col width="75"><col width="73"><col width="72"><col width="87"><col width="86"></colgroup>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Table
1.</span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"> The Irreducible Triadic Relation (ITR) in Plato’s cave,
science , and semiotics.</span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"><br class="kix-line-break">
</span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"><br class="kix-line-break">
</span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-weight: 700; font-style: italic; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">f
g</span></p>
<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">A
--------> B --------> C</span></p>
<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"> |
^</span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"><br class="kix-line-break">
</span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"> | |</span></p>
<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"> |_________________|</span></p>
<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-weight: 700; font-style: italic; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">h</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"><i>Agent</i></span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">A</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">B</span></p>
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<td style="border-left:solid #b7b7b7 1pt;border-right:solid #b7b7b7 1pt;border-bottom:solid #b7b7b7 1pt;border-top:solid #b7b7b7 1pt;vertical-align:top;background-color:#cccccc;padding:5pt 5pt 5pt 5pt;">
<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">C</span></p>
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<td style="border-left:solid #b7b7b7 1pt;border-right:solid #b7b7b7 1pt;border-bottom:solid #b7b7b7 1pt;border-top:solid #b7b7b7 1pt;vertical-align:top;background-color:#cccccc;padding:5pt 5pt 5pt 5pt;">
<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-weight: 700; font-style: italic; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">f
</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-weight: 700; font-style: italic; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">g</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-weight: 700; font-style: italic; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">h</span></p>
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<td style="border-left:solid #b7b7b7 1pt;border-right:solid #b7b7b7 1pt;border-bottom:solid #b7b7b7 1pt;border-top:solid #b7b7b7 1pt;vertical-align:top;background-color:#cccccc;padding:5pt 5pt 5pt 5pt;">
<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-style: italic; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"><b>Plato’s
cavemen</b></span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"><b>
</b></span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Form</span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"><br class="kix-line-break">
</span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">(or Real world)</span></p>
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<td style="border-left:solid #b7b7b7 1pt;border-right:solid #b7b7b7 1pt;border-bottom:solid #b7b7b7 1pt;border-top:solid #b7b7b7 1pt;vertical-align:top;background-color:#cccccc;padding:5pt 5pt 5pt 5pt;">
<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Shadows</span></p>
<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">on
the wall</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Thought</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Physical
laws</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Perception</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Universal
causality</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-style: italic; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"><b>Scientists</b></span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">4-D
structure of enzymes</span></p>
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<td style="border-left:solid #b7b7b7 1pt;border-right:solid #b7b7b7 1pt;border-bottom:solid #b7b7b7 1pt;border-top:solid #b7b7b7 1pt;vertical-align:top;background-color:#cccccc;padding:3.6pt 3.6pt 3.6pt 3.6pt;">
<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">3-D
structure of enzymes</span></p>
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<td style="border-left:solid #b7b7b7 1pt;border-right:solid #b7b7b7 1pt;border-bottom:solid #b7b7b7 1pt;border-top:solid #b7b7b7 1pt;vertical-align:top;background-color:#cccccc;padding:5pt 5pt 5pt 5pt;">
<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Scientific
model</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">measurement</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Interpretation</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Correlation</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-style: italic; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"><b>semioticians</b></span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Object</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Sign</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Interpretant</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Sign
production</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Sign
interpretation</span></p>
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<p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Grounding
</span><span style="background-color: transparent; font-family: Arial; font-size: 11pt; white-space: pre-wrap;">Correlation</span></p>
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<p dir="ltr" style="line-height:1.38;margin-top:0pt;margin-bottom:0pt;"><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"> </span><span style="font-size: 11pt; font-family: Arial; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;"></span></p>
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<span style="background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-size: 11pt; font-family: Arial; vertical-align: baseline;">(<b>3</b>) I am assuming that Plato’s cavemen divide into two groups -- (i) the
</span><span style="background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-size: 11pt; font-family: Arial; font-style: italic; vertical-align: baseline;">common cavemen
</span><span style="background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-size: 11pt; font-family: Arial; vertical-align: baseline;">who think (and believe) that the shadows are
</span><span style="background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-size: 11pt; font-family: Arial; font-style: italic; vertical-align: baseline;">real,
</span><span style="background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-size: 11pt; font-family: Arial; vertical-align: baseline;">and (ii) the
</span><span style="background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-size: 11pt; font-family: Arial; font-style: italic; vertical-align: baseline;">enlightened cavemen
</span><span style="background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-size: 11pt; font-family: Arial; vertical-align: baseline;">whose intellect distinghishes between shadows and the real objects casting them.
It may be justified to describe the difference between the way the common cavemen think and the way the enlightened cavemen think as the ‘dyadic thinking’ (i.e, Step f reversed, or A <----- B only) and ‘the triadic thinking’ (i.e., the entire commutative
triangle), respectively. </span></p>
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<span style="background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-size: 11pt; font-family: Arial; vertical-align: baseline;">(<b>4</b>) I liken to the common cavemen defined above the many briliant and hardworking
scientists who believe that studying the static 3-dimensional structures of all the enzymes and proteins in the mitochondrion will eventually solve the mystery of how the organell works in living cells. In this sense, I believe that Plato's allegory of the
cave applies to contemproary science. </span><br>
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<span style="background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-size: 11pt; font-family: Arial; vertical-align: baseline;">(<b>5</b>) If it can be validated that there are indeed two types of Plato's cavemen and
in modern science, it may also apply to information science, leading to the prediction that there will be two kinds of information scientists -- (i) dyadic thinking information scientis and (ii) and triadic thinking information scientis.
</span></p>
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<span style="background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-size: 11pt; font-family: Arial; vertical-align: baseline;">(<b>6</b>) Finally, One interesting spinoff of
<b>Table 1</b> may be that its Column A sheds new light on what Plato might have meant by his
<i>Form</i> or <i>Idea, </i>thus contributing to solving the Plato-Aristotle debate on the Form-Matter dualtiy.</span></p>
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<span style="background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-size: 11pt; font-family: Arial; vertical-align: baseline;">Any questions or commens are welcome as always.</span></p>
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<span style="background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-size: 11pt; font-family: Arial; vertical-align: baseline;">Sung</span></p>
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