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karl, you actually have three critical elements in your short piece. not just categorizing vs counting, but categorizing, counting, and <b>ranking</b>.
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<div>you've pointed to pecking orders and preferences as the root of individuality. very insightful.</div>
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<div><span style="font-size: 13.3333px;">with warmth and oomph--howard</span><br>
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<div style="font-family:arial,helvetica;font-size:10pt;color:black">-----Original Message-----<br>
From: Karl Javorszky <karl.javorszky@gmail.com><br>
To: fis <fis@listas.unizar.es><br>
Sent: Mon, Jan 20, 2020 6:45 am<br>
Subject: [Fis] pats on the back<br>
<br>
<div id="yiv3182478207">
<div dir="ltr">
<div class="yiv3182478207MsoNormal" style="margin:0cm 0cm 8pt;font-size:12pt;font-family:New serif;"><span lang="DE-AT">Patting on
the back<span></span></span></div>
<div class="yiv3182478207MsoNormal" style="margin:0cm 0cm 8pt;font-size:12pt;font-family:New serif;"><span lang="DE-AT"><span> </span></span></div>
<div class="yiv3182478207MsoNormal" style="margin:0cm 0cm 8pt;font-size:12pt;font-family:New serif;">It is already a first step, if someone who one has patted on
the back recognises this and give a feedback: „he has patted me on the back”.<span></span></div>
<div class="yiv3182478207MsoNormal" style="margin:0cm 0cm 8pt;font-size:12pt;font-family:New serif;">It would be even better, if some of the intellectual content
that was transmitted, could be understood. <span></span></div>
<div class="yiv3182478207MsoNormal" style="margin:0cm 0cm 8pt;font-size:12pt;font-family:New serif;">Let me transmit once more, this time very-very placative, what
was a part of the intended message:<span></span></div>
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">There is a psychological, cultural and dogmatic tradition of
distinguishing simple <i>sorting and
ordering</i> against <i>counting and
calculating</i>. We have to touch on it, as tradition builds, traditionally, a
powerful resistance against taking new ideas seriously. <span></span></div>
<div class="yiv3182478207gmail-Sub-subtitle-1" style="margin:18pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;font-weight:bold;">1.1 The subject matter is traditionally seen as too
simple, below dignity<span></span></div>
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">Animals performing phototaxis, children grabbing the most fascinating
toy, statesmen opting for the least harmful alternative: they all perform
operations of <i>ranking, sorting</i> <i>and ordering</i>. Children entering school
will look down on those who can only distinguish on intensity, loudness, color,
taste etc., but lack the ability to abstract from the properties of the things
compared. Ranking, e.g. between what is desirable, usual or inacceptable, is a
faculty of the subject, who maintains his individuality by maintaining his own
set of preferences, that is, ways of sequencing mental images. The rule<i> de gustibus non est disputandum</i><span> </span>has led to avoiding the topic of
sequencing in learned discourse. <span></span></div>
<div class="yiv3182478207gmail-Sub-subtitle-1" style="margin:18pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;font-weight:bold;">1.2 Lacking the concepts and the words to discuss the subject-matter<span></span></div>
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">For reasons of simplicity and practicality, the Sumerians
have come up with a concept of a unit which has none of the properties of the
object it can stand for. The concept became formalised by Kant into the <i>object as such</i>. Our methodology of counting
is based on the understanding that objects that are to be counted are
represented by logical tokens, symbols, which are basically of uniform make,
form, appearance. This rule severely restricts the access to ideas related to
sequencing. The following Table shows the position of the <i>blind spot (marked)</i>:<span></span></div>
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">Table 1: Position of the blind spot<span></span></div>
<table class="yiv3182478207gmail-MsoNormalTable" style="border-collapse:collapse;border:medium none;" cellspacing="0" cellpadding="0" border="1">
<tbody><tr>
<td style="width:189.7pt;border:1pt solid windowtext;padding:0cm 5.4pt;" width="253" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;"><b>Concept</b><b><span><span></span></span></b></div>
</td>
<td style="width:134.65pt;border-color:windowtext windowtext windowtext currentcolor;border-style:solid solid solid none;border-width:1pt 1pt 1pt medium;padding:0cm 5.4pt;" width="180" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;"><b>Traditional Approach</b><b><span><span></span></span></b></div>
</td>
<td style="width:140.05pt;border-color:windowtext windowtext windowtext currentcolor;border-style:solid solid solid none;border-width:1pt 1pt 1pt medium;padding:0cm 5.4pt;" width="187" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;"><b>New approach</b><b><span><span></span></span></b></div>
</td>
</tr>
<tr>
<td style="width:189.7pt;border-color:currentcolor windowtext windowtext;border-style:none solid solid;border-width:medium 1pt 1pt;padding:0cm 5.4pt;" width="253" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">Units<span><span></span></span></div>
</td>
<td style="width:134.65pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="180" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">all alike<span><span></span></span></div>
</td>
<td style="width:140.05pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="187" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">all different<span><span></span></span></div>
</td>
</tr>
<tr>
<td style="width:189.7pt;border-color:currentcolor windowtext windowtext;border-style:none solid solid;border-width:medium 1pt 1pt;padding:0cm 5.4pt;" width="253" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">Example<span><span></span></span></div>
</td>
<td style="width:134.65pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="180" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">O O O O O O<span><span></span></span></div>
</td>
<td style="width:140.05pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="187" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">ϗ ⅌ ϼ ж ѭ ԉ <span><span></span></span></div>
</td>
</tr>
<tr>
<td style="width:189.7pt;border-color:currentcolor windowtext windowtext;border-style:none solid solid;border-width:medium 1pt 1pt;padding:0cm 5.4pt;" width="253" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">Distinguishable?<span><span></span></span></div>
</td>
<td style="width:134.65pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="180" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">no<span><span></span></span></div>
</td>
<td style="width:140.05pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="187" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">yes<span><span></span></span></div>
</td>
</tr>
<tr>
<td style="width:189.7pt;border-color:currentcolor windowtext windowtext;border-style:none solid solid;border-width:medium 1pt 1pt;padding:0cm 5.4pt;" width="253" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">Sorting makes sense?<span><span></span></span></div>
</td>
<td style="width:134.65pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="180" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">no<span><span></span></span></div>
</td>
<td style="width:140.05pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="187" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">yes<span><span></span></span></div>
</td>
</tr>
<tr>
<td style="width:189.7pt;border-color:currentcolor windowtext windowtext;border-style:none solid solid;border-width:medium 1pt 1pt;padding:0cm 5.4pt;" width="253" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">Different sequences can be seen?<span><span></span></span></div>
</td>
<td style="width:134.65pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="180" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">no<span><span></span></span></div>
</td>
<td style="width:140.05pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="187" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">yes<span><span></span></span></div>
</td>
</tr>
<tr>
<td style="width:189.7pt;border-color:currentcolor windowtext windowtext;border-style:none solid solid;border-width:medium 1pt 1pt;padding:0cm 5.4pt;" width="253" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">Ideas about sequences reasonable?<span><span></span></span></div>
</td>
<td style="width:134.65pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="180" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">no, because there is nothing to talk about<span><span></span></span></div>
</td>
<td style="width:140.05pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="187" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">yes<span><span></span></span></div>
</td>
</tr>
<tr>
<td style="width:189.7pt;border-color:currentcolor windowtext windowtext;border-style:none solid solid;border-width:medium 1pt 1pt;padding:0cm 5.4pt;" width="253" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">Ideas about different sequences reasonable?<span><span></span></span></div>
</td>
<td style="width:134.65pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="180" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">no, because sequences are all alike<span><span></span></span></div>
</td>
<td style="width:140.05pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="187" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">yes<span><span></span></span></div>
</td>
</tr>
<tr>
<td style="width:189.7pt;border-color:currentcolor windowtext windowtext;border-style:none solid solid;border-width:medium 1pt 1pt;padding:0cm 5.4pt;" width="253" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">Algorithm of resequencing worth thinking about?<span><span></span></span></div>
</td>
<td style="width:134.65pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="180" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">no different sequences, so no re-sequencing thinkable<span><span></span></span></div>
</td>
<td style="width:140.05pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="187" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">very much so<span><span></span></span></div>
</td>
</tr>
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<td style="width:189.7pt;border-color:currentcolor windowtext windowtext;border-style:none solid solid;border-width:medium 1pt 1pt;padding:0cm 5.4pt;" width="253" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;">Anything to see?<span><span></span></span></div>
</td>
<td style="width:134.65pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;background:rgb(217,217,217) none repeat scroll 0% 0%;padding:0cm 5.4pt;" width="180" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;"><span style="color:black;">no</span><span><span></span></span></div>
</td>
<td style="width:140.05pt;border-color:currentcolor windowtext windowtext currentcolor;border-style:none solid solid none;border-width:medium 1pt 1pt medium;padding:0cm 5.4pt;" width="187" valign="top">
<div class="yiv3182478207gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;font-size:10pt;font-family:New serif;"><i>oh, what a spectacle!</i><span><span></span></span></div>
</td>
</tr>
</tbody></table>
<div class="yiv3182478207gmail-Figurecaption" style="margin:6pt 0cm 0.0001pt;text-align:center;line-height:10pt;font-size:8pt;font-family:New serif;"><b><span>Table 1</span></b><span>: We wish to talk about the subject of patterns
observed while reordering relatively small collections of the simplest logical
objects: numeric realisations of <i>a+b=c, </i>with <i>a,b </i></span><i><span>≤</span></i><i><span> 16, a </span></i><i><span>≤</span></i><i><span> b.<span></span></span></i></div>
<div class="yiv3182478207MsoNormal" style="margin:0cm 0cm 8pt;font-size:12pt;font-family:New serif;"><span> </span></div>
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