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<p class=MsoNormal><font size=2 color=navy face="Lucida Sans Unicode"><span
style='font-size:11.0pt;font-family:"Lucida Sans Unicode";color:navy'>Dear
Friends and Colleagues,<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face="Lucida Sans Unicode"><span
style='font-size:11.0pt;font-family:"Lucida Sans Unicode";color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face="Lucida Sans Unicode"><span
lang=EN-GB style='font-size:11.0pt;font-family:"Lucida Sans Unicode";
color:navy'>The calls of Karl and Mark for a new narrative relative to the
Foundations of Information Science are auspicious and appropriate. Just a
couple of comments: we obviously need to avoid the target of a single new
narrative, thereby faithfully reproducing the problem we are trying to solve. In
the new logic that I have proposed, I have tried to be very careful to indicate
the domains to which it does <i><span style='font-style:italic'>not</span></i>
apply. <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face="Lucida Sans Unicode"><span
lang=EN-GB style='font-size:11.0pt;font-family:"Lucida Sans Unicode";
color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face="Lucida Sans Unicode"><span
lang=EN-GB style='font-size:11.0pt;font-family:"Lucida Sans Unicode";
color:navy'>For me, this means not seeking coherence as an end in itself, but
the proper relation between coherence and incoherence. The new book by the
French philosopher and sinologist François Jullien – <i><span
style='font-style:italic'>dé-coïncidence </span></i>(decoincidence) talks
directly to this relation.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face="Lucida Sans Unicode"><span
lang=EN-GB style='font-size:11.0pt;font-family:"Lucida Sans Unicode";
color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face="Lucida Sans Unicode"><span
lang=EN-GB style='font-size:11.0pt;font-family:"Lucida Sans Unicode";
color:navy'>I also would like to suggest a careful reading of Donne’s
negative statement that “all is just Relation” in the ‘new
philosophy’. Does this mean that looking at the world in terms of
relations is somehow incorrect? What does this imply for Chew’s bootstrap
theory, relational quantum mechanics and the idea of some, including Ladyman
and Lupasco that “everything is relations”?<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face="Lucida Sans Unicode"><span
lang=EN-GB style='font-size:11.0pt;font-family:"Lucida Sans Unicode";
color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face="Lucida Sans Unicode"><span
lang=EN-GB style='font-size:11.0pt;font-family:"Lucida Sans Unicode";
color:navy'>In Mark’s list of components of the new narrative, I see
several whose foundations may lack the necessary principles to change to a new
narrative and/or include some that may be incompatible with one. This should
come out in the discussion. As an example of a principle upon which we might
see if there is a consensus, however, I suggest the cosmology of Carlo Rovelli
which eliminates background spacetime. This is at the same time (!) a good
example of the principle of the dualism between reality and appearance, time
being a particularly powerful illusion.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face="Lucida Sans Unicode"><span
lang=EN-GB style='font-size:11.0pt;font-family:"Lucida Sans Unicode";
color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face="Lucida Sans Unicode"><span
lang=EN-GB style='font-size:11.0pt;font-family:"Lucida Sans Unicode";
color:navy'>Best wishes,<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face="Lucida Sans Unicode"><span
lang=EN-GB style='font-size:11.0pt;font-family:"Lucida Sans Unicode";
color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face="Lucida Sans Unicode"><span
lang=EN-GB style='font-size:11.0pt;font-family:"Lucida Sans Unicode";
color:navy'>Joseph<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-GB
style='font-size:10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<div>
<div class=MsoNormal align=center style='text-align:center'><font size=3
face="Times New Roman"><span lang=EN-US style='font-size:12.0pt'>
<hr size=3 width="100%" align=center tabindex=-1>
</span></font></div>
<p class=MsoNormal><b><font size=2 face=Tahoma><span lang=EN-US
style='font-size:10.0pt;font-family:Tahoma;font-weight:bold'>From:</span></font></b><font
size=2 face=Tahoma><span lang=EN-US style='font-size:10.0pt;font-family:Tahoma'>
Fis [mailto:fis-bounces@listas.unizar.es] <b><span style='font-weight:bold'>On
Behalf Of </span></b>Mark Johnson<br>
<b><span style='font-weight:bold'>Sent:</span></b> lundi, 29 octobre 2018 16:48<br>
<b><span style='font-weight:bold'>To:</span></b> Karl Javorszky<br>
<b><span style='font-weight:bold'>Cc:</span></b> fis<br>
<b><span style='font-weight:bold'>Subject:</span></b> Re: [Fis] Anticipatory
Systems</span></font><span lang=EN-US><o:p></o:p></span></p>
</div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>Wonderful, Karl - thank you!<o:p></o:p></span></font></p>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>I think o</span></font><font size=2 face=Calibri><span
style='font-size:11.0pt;font-family:Calibri'>ne of the most important stories
that we have to look at is the story about how we have come to think about
science. More pertinently, there is a question about whether we need a new
story – and whether a story with “information” (or perhaps
"redundancy") at its heart is that new story. From digital
ontology, quantum mechanics, biosemiotics, cybernetics, black hole cosmology
and the theology of people like Arthur Peacock and John Haught, it seems that
this indeed is the beginning of a new story for the world. We need it,
don’t we?!</span></font><o:p></o:p></p>
</div>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri'><o:p> </o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri'>I’m
reading David Wootton’s “The Invention of Science” at the
moment. It’s a wonderful scholarly account of the construction of
scientific narrative in the 17<sup>th</sup> century. Highlighting the invention
of concepts like “discovery”, “fact”,
“evidence”, “laws” and “experiment”,
Wootton points out that poets knew what was happening decades before the likes
of Bacon put it in more prosaic terms. This is John Donne, who Wotton quotes in
the first chapter:<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt;line-height:106%'><i><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri;
font-style:italic'>A new philosophy cals all in doubt,</span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt;line-height:106%'><i><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri;
font-style:italic'>The element of fire is quite put out;</span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt;line-height:106%'><i><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri;
font-style:italic'>The sunne is lost, and th’earth, and no mans wit</span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt;line-height:106%'><i><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri;
font-style:italic'>Can well direct him, where to looke for it.</span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt;line-height:106%'><i><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri;
font-style:italic'>And freely men confesse, that this world’s spent,</span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt;line-height:106%'><i><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri;
font-style:italic'>When in the Planets, and the firmament</span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt;line-height:106%'><i><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri;
font-style:italic'>They seeke so many new; they see that this</span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt;line-height:106%'><i><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri;
font-style:italic'>Is crumbled out againe to his Atomis. </span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt;line-height:106%'><i><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri;
font-style:italic'>‘Tis all in pieces, all cohaerence gone; </span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt;line-height:106%'><i><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri;
font-style:italic'>All just supply, and all Relation;</span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt;line-height:106%'><i><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri;
font-style:italic'>Prince, Subject, Father, Sonne are things forgot,</span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt;line-height:106%'><i><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri;
font-style:italic'>And every man alone thinks he hath got</span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt;line-height:106%'><i><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri;
font-style:italic'>To be a phoenix, and that then can bee</span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-left:36.0pt;line-height:106%'><i><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri;
font-style:italic'>None of that kind, of which he is, but hee.</span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri'> <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Calibri><span style='font-size:11.0pt;
font-family:Calibri'>Extraordinary, isn’t it? We have everything from
atoms to the individualism of capitalism. But Donne gets what was missing: it
was coherence. We’ve tried to put the pieces back together again. But it
doesn’t work. We need something else. To emphasise my earlier
point, there is a choice as to how we look at narrative: if we look through the
lens of the scientific revolution, we see the world broken down into constructions
and stories where “every man thinks he hath got to be a phoenix”
(or indeed, has no choice but to be one). I’d prefer to look through
Donne’s lens, and see the coherence we have lost. </span></font><o:p></o:p></p>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 face=Calibri><span style='font-size:11.0pt;
font-family:Calibri'>Best wishes,</span></font><o:p></o:p></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 face=Calibri><span style='font-size:11.0pt;
font-family:Calibri'>Mark</span></font><o:p></o:p></p>
</div>
</div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>On Mon, 29 Oct 2018 at 15:33, Karl Javorszky <<a
href="mailto:karl.javorszky@gmail.com">karl.javorszky@gmail.com</a>> wrote:<o:p></o:p></span></font></p>
</div>
<blockquote style='border:none;border-left:solid #CCCCCC 1.0pt;padding:0cm 0cm 0cm 6.0pt;
margin-left:4.8pt;margin-right:0cm'>
<div>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><u><font
size=2 face=Calibri><span lang=DE-AT style='font-size:11.0pt;line-height:106%;
font-family:Calibri'>Anticipation</span></font></u><font size=2 face=Calibri><span
style='font-size:11.0pt;line-height:106%;font-family:Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span lang=DE-AT style='font-size:11.0pt;line-height:106%;
font-family:Calibri'> </span></font><font size=2 face=Calibri><span
style='font-size:11.0pt;line-height:106%;font-family:Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span lang=DE-AT style='font-size:11.0pt;line-height:106%;
font-family:Calibri'>Learned Friends,</span></font><font size=2 face=Calibri><span
style='font-size:11.0pt;line-height:106%;font-family:Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span lang=DE-AT style='font-size:11.0pt;line-height:106%;
font-family:Calibri'> </span></font><font size=2 face=Calibri><span
style='font-size:11.0pt;line-height:106%;font-family:Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri'>We
deal with the observation, that biologic organisms anticipate what will happen
next. Some concentrate on the narrative of the anticipation, some on the
phenomena that are anticipated. As a human faculty, anticipation can range from
intuition, guess, instinct, to prediction and certitude. Science has more or
less dealt with certitude (b follows from a) and has understood prediction (if
a then p(b) ~ x). Now we work our way towards understanding instinctive
prediction.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri'>The
utility and efficacy of the narrative version of anticipation varies also
greatly: we have the wish formulae, where faith and belief causes anticipating
an effect (if I say “please” they will give that to me), magical
incantations with powerful words, inputting arguments of an algorithm in the
hope of receiving a result, and the classical case of the words of the
narrative being one and inseparable from the facts that are the case (the DNA
is a narrative of what will happen, and its predictions are in the closest
possible way related to the facts of the matter the narrative talks about).
(Interactive online reporting, where the narration is a part of the process.)<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri'>We
do have some difficulties with a running narration, because such a thing as
telling the future has no place in classical, Wittgenstein logic and the
corresponding narrative about the proceedings. That, what will come into
existence is presently not the case. Whichever way we turn it, we are not
supposed to talk about things that are not the case. <o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri'> <o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri'>Foretelling
the future (anticipating correctly) is a task that humans can despair of. This
problem being with us since the beginning of time, it has been addressed by
many generations using diverse lexica. Bruno’s suggestion that we have no
shy using words and concepts of theology is a wise one: Our forefathers
expressed themselves in allegories involving divine figures. This has given me
courage to present to you an Allegory on the Seduction of Arithmetica by Amor,
with a bow to Martianus Capella. May your serene judgement of this non-polished
draft be softened by magnanimous mercy extended against a beginner.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri'><o:p> </o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri'>-----------------------<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri'>Seduction
of Arithmetica by Amor (20181028)<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri'> <o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Amor</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'>: <i><span style='font-style:italic'>(enters scene of idyllic Elysian
character)</span></i> Oh All you Gods! Your help is needed now that I have lost
my way in my quest for my beloved second-sister Arithmetica, and now I am in
unknown terrain, where no human intelligence had shed any light so far. Where
are you, oh Arithmetica?!<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Arithmetica</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'>: <i><span style='font-style:italic'>(enters from behind a tree)</span></i>
Here I am my Amor, never far from you. You have a desire to talk to me<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Amor:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> Please help. I have a problem I cannot solve on my own. You know,
Zeus has gone more mercantilist, in the wealth-generating mood, and he tasks
each of us to prepare reports the end of every quarter. How many arrows fired,
how many hits, and among these how many with operational achievement. Now what
is a success I know: if I hit with my arrow the heart of one individual. What
they want to know is, however, how many couples I generate and how fruitful the
resulting fornications will turn out to become. They are in population
management up there and are obviously scheming to make me less industrious or
less precise, but first they want the numbers. How can you tell me, my dear
second-sister, how many healthy offspring are generated per arrow shot of mine?<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Arithmetica:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> You, my dear second-brother, like so many others, want to know
whether we can foretell the future by our dexterous fingers, using
distinguishable objects which we count. The answer is: theoretically no,
practically yes. You may at first not understand this reply. To help to open up
your mind, let me tell you in all confidence a sordid part of my life.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Amor:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> Ah, my dearest Arithmetica? How come you have suffered indignities?
Surely by the acts of the mortals?<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Arithmetica:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> Yes, the bipeds have kidnapped me from the Gardens of Olymp and
pressed me into their service. This would have not been necessary, first of
all, but for the cruel circumstances of that rendition into the realm of the
humans, the shame of it has kept my forced adoption for a long time in the
dark. Everybody knows that my 6 sisters and I are of a cooperative, willing,
pleasing character, because we find pleasure in what we do. No one needs to
force Music to be the essence of Music, there is no need to coerce Geometry
into doing geometry! We are the far relatives of the Muses, in the technical,
applicational fields. We like what we do, otherwise we could not embody the
spirit of that what we are. But what happened to me was of an otherworldly
brutality. All the bipeds agree in praising our diligence and competence, in my
case my speciality, exactitude. There is no need to subject a person of our
divine breed to such indignities.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Amor:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> What, oh Arithmetica, what did they did to you?<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Arithmetica:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> That subgroup of the bipeds which calls itself the Quadrivials have
captured me and keep me locked up in a place with rectangular axes on which
identically spaced units are measuring distances. You cannot imagine a less
creative surroundings for a young girl. It is pure sensory deprivation, the
intellectual equivalent of a solitary confinement. I have no permission to have
anything in hand that is not of a uniform make, as such indistinguishable from
any other unit element. They just eliminated all diversity from their castle.
These are very strict people.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Amor:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> what a sad story! You with all your talents and you love of glitzy
things to be left on your own among grey uniform units that have no relations
among each other! You always loved arranging and re-arranging your manifold
glitzy things according to their inner connections among each other. You always
knew that there is a system of a-priori relations among the things: this is
what their differing ways of being glitzy expresses.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Arithmetica:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> You, my beloved, understand my pain. It is all right if those of
strong faith require that one serves them according to their beliefs and
rituals, but it is not right, if these well-educated rulers discourage any
parallel way of looking at things, which in my case means counting them. <o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Amor:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> As far as I know you, my dear Arithmetica, you will never give up.
Every day, the efforts of deciphering the original creativity of Zeus and his
ancestors will bring up new details about the world, where your unerring
faculties are needed. The bipeds rejoice in thy works and bring you many
spectacles and offerings, I understand?<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Arithmetica:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> Indeed, I am not without resources. Evading the intrusive
surveillance of my quadrivial masters, this maiden has imagined up her beloved
glitzy things, which she so much enjoyed arranging about during chaste
childhood, playing with the frolicking centaurs, naiads and nymphs. To evade
any malign attention, I have replaced the actual form of the glitziness with a
number, and only worked on the first few natural numbers.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Amor:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> Indeed, I have been hearing you muttering to yourself: <o:p></o:p></span></font></p>
<p class=MsoNormal align=center style='margin-bottom:8.0pt;text-align:center;
line-height:106%'><i><font size=2 face=Calibri><span style='font-size:11.0pt;
line-height:106%;font-family:Calibri;font-style:italic'>Position ( (a,b), d,
(b,a) ) = b * (b+1)/2 + a,</span></font></i><font size=2 face=Calibri><span
style='font-size:11.0pt;line-height:106%;font-family:Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal align=center style='margin-bottom:8.0pt;text-align:center;
line-height:106%'><i><font size=2 face=Calibri><span style='font-size:11.0pt;
line-height:106%;font-family:Calibri;font-style:italic'>Position ( (a,b), d,
(a,b) ) = d * (d+1)/2 – (d-a+1) * (d-a+2)/2 + (b-a+1)</span></font></i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri'>the
other day.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Arithmetica:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> That was the x,y coordinates on a plane of pairs (a,b) which can have
any of d degrees of glitziness. These coordinates can be grouped into what is
called cycles by lines that connect elements that change places with each other
in a sequence of push-aways. The concurrent running of several cycles creates
rhythms. This is pure arithmetic, no one can deny that. Still, the Lords
distrust the idea of order, as long as it comes from ordering by one’s
own free will. They learned well, how Poseidon orders water, how Helios throws
his bolts, but they would never think of sequencing just for the sake of it, to
see how far they get until they overdo it. They do not believe that if you
generate all of the possible alternatives, the reasonable ones will turn up
among these and will be recognised. The a-priori relations that exist in the
world, do have something to do with order, or am I mistaken on this point? What
mortal people don’t notice is that you can stick axes into each other in
a rectangular fashion and completely valid Descartes spaces emerge, just on the
glitzy properties of the first 16 numbers. They haver a deep revulsion against
considering objects that are different to each other.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Amor:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> So, you can build rectangular spaces just from natural numbers? Just
by re-ordering them? You can demonstrate what is called gravitation by the
bipeds to be an implication of linear order (of the Peano axioms)?<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Arithmetica:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> Now we come to the answer to the question you have started out with.
Can we foretell Future? Only the Gods can do that in a full sense, but we are
catching up. The problem is that my overlords, the Quadrivials, do not like
conflicts and unpredictable outcomes. As if an unpredictable outcome would be
on average any better or worse than a predictable one. It is the subjective
tension they do not like, and this is why they discourage a relaxed, rational
view of predictability.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Amor:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> Well, I was always an admirer of your countless fingers, tentacles
and other appendices that you can bend to a high number of distinct degrees
each, but do your arithmetic calculations allow me to foretell the number of
living births per woman between 15 and 45 years of age?<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Arithmetica:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> That detail can be solved, once the Lords of Quadriviality encourage
the industrious bipeds to base their calculations on recurrences and their
predictability. The problem is, they officially have no concept for a future:
everything in classical logic happens in the moment; classical logic is as
such: timeless. They have to laboriously calculate around the concept of
cycles, because to use cycles as the basis of all calculations would admit to
the existence of alternatives. If alternatives a priori exist, the whole
edifice of classical logic turns out to be a special case, riding the wave,
surfing along a moment of truth, being in the air while running in jumps.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Amor:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> This might be the curse by the descendants of <b><i><span
style='font-weight:bold;font-style:italic'>Cheiron</span></i></b> the wise
centaur. Being as well a horse and as well a man teaches one some insight into
biology and its relation to rational thinking. The Quadrivials have decided
that theirs is the rational way to determine the greenness of grass and could
not suffer <b><i><span style='font-weight:bold;font-style:italic'>Cheiron</span></i></b>’s
frequent intermissions: is maybe the grass indeed greener the other side of the
road? Before getting too much disturbed in their picture of the world, they
have eliminated <b><i><span style='font-weight:bold;font-style:italic'>Cheiron</span></i></b>
and all of his folk. They could not stomach the common-sense approach a
half-horse brings to counting. He could argue his case as eloquently as he
wanted. He was all for predictability and a natural web of relationships among
the parts of the world. He could have argued to electrically powered
Wittgenstein machines for all the understanding and sympathy he got. They do
not wish to be engaged in ambiguities. That, what can be resolved by finding
the one, correct solution, that is quadrivial. That, what can be discussed, put
in different lights, can have several solutions, none of which is completely
right: this delineates a subject the quadrivials make a wide berth around.
Conflicts are trivial. Centaurs are creating conflicts, they are as such, in
themselves a conflict, so they get radically removed from the quadrivial world.
How will they now try to understand what makes centaurs function, let alone
reason? They were not able to understand that axiomatics begins with axiom 1:
there must be recurrent feeding. Till today, they burn holy weeds in their
offices if the word “recurrent” is uttered. These people are beyond
the point of no return. The divine retribution for the extermination of the
centaurs is presently taking place. Our ruling elite is unable to think it
terms of recurrent states of a set, because they have deep feelings of guilt
and emptiness for having expelled the animal spirits from their
reasoning-thinking part of the brain.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Arithmetica:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> Is it so, that fertility rates are sinking in those parts of the
world, where you induce pairing, depressive as you sound, Amor? Do not paint my
overlords in such a harsh light, my friend. Rigid they may appear, but some of
them are flexible and clever. Let me continue whispering in as many ears as
stand open, in the low voice of reason, that working on uniform things during
the day does not prohibit one from working with glitzy things, in off time.
Perhaps, some of the quadrivials do like engineering, puzzles and the building
of kaleidoscopes. Do not give up hope yet, my beloved Amor. So, we shall
part for a time now, but we shall meet again. Your arrow has touched me in my
inner being, and our chaste meeting of minds has resulted in the creation of a
new baby girl, of which you are the father, my beloved Amor.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-style:italic'>(Enter young child, growing on stage into young
woman)</span></font></i><font size=2 face=Calibri><span style='font-size:11.0pt;
line-height:106%;font-family:Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Amor:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> Sacre bleu! A nice conversation about predictions turns out to be a
love affair, with consequences, and here she is, the consequence: one maiden,
quite becoming, who seems to be fully enjoying all feelings of vibes. She is
the fruit of our love? What a divine end to this story!<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><b><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-weight:bold;font-style:italic'>Arithmetica:</span></font></i></b><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri'> Yes, your longings have awakened in my heart the desire to be a well
behaving daughter of Philosophia and, like my respected Mother, from time to
time to give birth to a baby Science. Please meet your sweet daughter <b><i><span
style='font-weight:bold;font-style:italic'>Rhythmonomia</span></i></b>, who
will help you and all bipeds to give different names to different rhythms and
make a great work of it, deriving much pleasure from finding the correct
answers to some of their questions. My Quadrivial Lords will surely forgive me
for getting impregnated by an idea, once they see how pleasingly helpful <b><i><span
style='font-weight:bold;font-style:italic'>Rhythmonomia</span></i></b> will be
in their everyday household tasks or in their great campaigns to achieve
intellectual brilliancy.<o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><i><font
size=2 face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:
Calibri;font-style:italic'>(Exeunt)</span></font></i><font size=2 face=Calibri><span
style='font-size:11.0pt;line-height:106%;font-family:Calibri'><o:p></o:p></span></font></p>
<p class=MsoNormal style='margin-bottom:8.0pt;line-height:106%'><font size=2
face=Calibri><span style='font-size:11.0pt;line-height:106%;font-family:Calibri'><o:p> </o:p></span></font></p>
</div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>_______________________________________________<br>
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</blockquote>
</div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><br clear=all>
<o:p></o:p></span></font></p>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
</div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>-- <o:p></o:p></span></font></p>
<div data-smartmail="gmail_signature">
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>Dr. Mark William Johnson<br>
Institute of Learning and Teaching<br>
Faculty of Health and Life Sciences<br>
University of Liverpool<br>
<br>
Phone: 07786 064505<br>
Email: <a href="mailto:johnsonmwj1@gmail.com" target="_blank">johnsonmwj1@gmail.com</a><br>
Blog: <a href="http://dailyimprovisation.blogspot.com" target="_blank">http://dailyimprovisation.blogspot.com</a><o:p></o:p></span></font></p>
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