<div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><p class="MsoNormal"><span lang="DE-AT">Dear
Krassimir, (DefInf
241206)<span></span></span></p>
<p class="MsoNormal"><span lang="DE-AT"> </span></p>
<p class="MsoNormal">Thank you for focusing on and confronting the Learned
Friends with the question:<span></span></p>
<p class="MsoNormal">“What is <u>your </u>{approach / idea / concept /
definition} of information?”<span></span></p>
<p class="MsoNormal">Mine is:<span></span></p>
<ol style="margin-top:0cm" start="1" type="1">
<li class="MsoNormal">Colloquially<span></span></li>
</ol>
<p class="MsoNormal"><b>Information is the extent of being otherwise.<span></span></b></p>
<p class="MsoNormal">This presupposes the existence of an <i>expected </i>value, relative
to which the <i>observed </i>value is in deviation: “otherwise”. This simple
and straightforward approach is widely used today in technical surroundings.
Shannon’s approach of a vector of <i>n</i> length, which is originally set to
the expected value <i>void</i> shows its application.<span></span></p>
<ol style="margin-top:0cm" start="2" type="1">
<li class="MsoNormal">In context<span></span></li>
</ol>
<p class="MsoNormal"><b>Information is
the difference between ideal and optimal.<span></span></b></p>
<p class="MsoNormal">(Maybe one wants to
refresh one’s Wittgenstein, TLP 2.0123, the thing is the totality of its
partaking in relations.) One uses the definition of a Gestalt as being “more
than the sum of its parts”. The Gestalt is the ideal-typical form of parts
relating together to generate one Whole. (E.g. a pictogram of a human.) In the
ideal, all proportions of constituents are included in such a way as to be the
best approximation of describing the common among all realizations of the
general idea of the thing. The ideal includes such properties of the thing
also that are mutually exclusive. (The pictogram of a human refers to both females
and males, the pictogram of a taxi refers to both Mercedes and Skoda.) Some of
the properties of the ideal version of a Whole are mutually exclusive. The
ideal Whole exists as a logical construct, but not as a physical reality. <span></span></p>
<p class="MsoNormal">The optimal arrangement
of parts is such that it contains no contradictory elements and yet comes the
closest possible to the general proportions embodied in the ideal. <span></span></p>
<p class="MsoNormal">There are several
optimal versions of a thing realizable, but it’s one and only ideal form is not
realizable.<span></span></p>
<ol style="margin-top:0cm" start="3" type="1">
<li class="MsoNormal">Numerically<span></span></li>
</ol>
<p class="MsoNormal"><b>Information is
the difference between sentences that say ‘=’ and that say ‘</b><b>≠’<span></span></b></p>
<p class="MsoNormal">The expressions <i>n!,
n? </i>are explained e.g. in Liaisons Among Symbols. The relevant Figure is
easily found by Googling ‘A242615’. <span></span></p>
<p class="MsoNormal">Taking the
explanations there, and doing <i>∫
1….137.03, </i><span></span></p>
<p class="MsoNormal"> <i> Ideal =
</i><i>∫ max (n!, n?)<span></span></i></p>
<p class="MsoNormal"><i> Optimal = </i><i>∫ min(n!, n?)<span></span></i></p>
<p class="MsoNormal"><i> Information = ∫ ∆ (n!, n?)<span></span></i></p>
<p class="MsoNormal">In this approach, information is a natural unit,
like π.<span></span></p></div></div></div></div>