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<p class="MsoNormal" style="margin:0cm 0cm 8pt;font-size:12pt;font-family:"Times New Roman",serif"><span lang="DE-AT">Patting on
the back<span></span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;font-size:12pt;font-family:"Times New Roman",serif"><span lang="DE-AT"><span> </span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;font-size:12pt;font-family:"Times New Roman",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></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;font-size:12pt;font-family:"Times New Roman",serif">It would be even better, if some of the intellectual content
that was transmitted, could be understood. <span></span></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;font-size:12pt;font-family:"Times New Roman",serif">Let me transmit once more, this time very-very placative, what
was a part of the intended message:<span></span></p>
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",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></p>
<p class="gmail-Sub-subtitle-1" style="margin:18pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif;font-weight:bold">1.1 The subject matter is traditionally seen as too
simple, below dignity<span></span></p>
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",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></p>
<p class="gmail-Sub-subtitle-1" style="margin:18pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif;font-weight:bold">1.2 Lacking the concepts and the words to discuss the subject-matter<span></span></p>
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",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></p>
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">Table 1: Position of the blind spot<span></span></p>
<table class="gmail-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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif"><b>Concept</b><b><span><span></span></span></b></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif"><b>Traditional Approach</b><b><span><span></span></span></b></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif"><b>New approach</b><b><span><span></span></span></b></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">Units<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">all alike<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">all different<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">Example<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">O O O O O O<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">ϗ ⅌ ϼ ж ѭ ԉ <span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">Distinguishable?<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">no<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">yes<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">Sorting makes sense?<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">no<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">yes<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">Different sequences can be seen?<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">no<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">yes<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">Ideas about sequences reasonable?<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">no, because there is nothing to talk about<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">yes<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">Ideas about different sequences reasonable?<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">no, because sequences are all alike<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">yes<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">Algorithm of resequencing worth thinking about?<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">no different sequences, so no re-sequencing thinkable<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">very much so<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif">Anything to see?<span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif"><span style="color:black">no</span><span><span></span></span></p>
</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">
<p class="gmail-Maintext" style="margin:12pt 0cm 0.0001pt;text-align:justify;line-height:14pt;break-after:avoid;font-size:10pt;font-family:"Times New Roman",serif"><i>oh, what a spectacle!</i><span><span></span></span></p>
</td>
</tr>
</tbody></table>
<p class="gmail-Figurecaption" style="margin:6pt 0cm 0.0001pt;text-align:center;line-height:10pt;break-after:avoid;font-size:8pt;font-family:"Times New Roman",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></p>
<p class="MsoNormal" style="margin:0cm 0cm 8pt;font-size:12pt;font-family:"Times New Roman",serif"><span> </span></p>
</div>