[Fis] definitions of information by Theil (1972) derived from Shannon (1948); back to the basics?

Mariusz Stanowski stanowskimariusz at wp.pl
Tue Jan 24 14:00:25 CET 2023


Hello,

> I would like to take the opportunity to share a definition of 
> information that is general enough to reconcile existing definitions 
> and understandings of information, including ontological and 
> epistemological information. I would appreciate Your questions and 
> comments.
>
> *Information is anything that can be distinguish in any way*(both in 
> and out of the mind and also in a mind-dependent and mind-independent 
> way).
>
>  Examples of information:
>
> Information as a feature - size (e.g. of a tree)
>
> Information as form - shape (e.g. of a stone)
>
> Information as an object - a stone
>
> Information as an abstract concept - e.g. whiteness
>
> Information as structure - e.g. any distinguishable regularity in a 
> binary structure
>
>  Any information interacts, so it must have energy. E.g. a binary 
> structure must have ones-impulses of energy and their absence - 
> zeros.Structures in our mind are also equipped with energy.
>
>
Best regards

Mariusz Stanowski







W dniu 24.01.2023 o 10:59, joe.brenner at bluewin.ch pisze:
> Dear All,
>
> The last two messages, taken together, make a lot of sense: Howard's 
> definition has the merit of simplicity, and Konstantin's necessary 
> extension introduces the question of quality.
>
> The only way I have found to answer it is to relax several abusive 
> absolute dichotomies, in particular, that between 1) subjective and 
> objective and 2) of their total separation.
>
> In any specific case, I assume that the terms differ in degree of 
> actuality and potentiality, not only, say, information and noise, 
> relevancy and non-relevancy and similar pairs.
>
> This approach excludes, however, talking about information at the 
> level of quarks and their "associations" since nothing is added to the 
> basic physics.
>
> Thank you and best wishes,
> Joseph
>
>     ----Original Message----
>     From : lidinkl at hotmail.com
>     Date : 24/01/2023 - 08:33 (E)
>     To : fis at listas.unizar.es, loet at leydesdorff.net, howlbloom at aol.com
>     Subject : Re: [Fis] definitions of information by Theil (1972)
>     derived from Shnnon (1948); back to the basics?
>
>     Thank you, Howard.
>     Your definition of information practically coincides with
>     Shannon's definition, only elementary (sub-elementary) particles
>     act as inductors and recipients.
>     In the next step, however, this approach leads us to the notion of
>     information quality. A message can contain both a signal (relevant
>     information) and noise. But the notion of relevance of information
>     is subjective. Relevance is compliance with the goals that the
>     inductor-recipient pair sets when exchanging information.
>     Do you think quarks and protons have goals and free will?
>     This is a very important question, because in most areas, except
>     for the Shannon theory of communication, the quality of
>     information is ignored. The subjectivity of this parameter looks
>     too shocking to include it in a decent academic model (about the
>     same way the Heisenberg uncertainty principle is still perceived)
>     ------------------------------------------------------------------------
>     *From:* Howard Bloom <howlbloom at aol.com>
>     *Sent:* 24 January 2023 08:21
>     *To:* lidinkl at hotmail.com <lidinkl at hotmail.com>;
>     fis at listas.unizar.es <fis at listas.unizar.es>; loet at leydesdorff.net
>     <loet at leydesdorff.net>
>     *Subject:* Re: [Fis] definitions of information by Theil (1972)
>     derived from Shnnon (1948); back to the basics?
>     the definition of information in my book The God Problem: How a
>     Godless Cosmos Creates:
>
>         information is anything a sender emits that a receiver can
>         interpret.
>
>
>     the first information appears when the first quarks emerge in the
>     first 10-34 of a second of the big bang. quarks read each other's
>     social signals of attraction or repulsion and acted on them to
>     gang up in groups of two or three, thus forming protons and
>     neutrons, which also gave off social signals and agglomerated in
>     proton-neutron teams.
>
>     with warmth and oomph--howard
>
>
>     -----Original Message-----
>     From: konstantin lidin <lidinkl at hotmail.com>
>     To: fis at listas.unizar.es <fis at listas.unizar.es>; Loet Leydesdorff
>     <loet at leydesdorff.net>
>     Sent: Mon, Jan 23, 2023 1:31 pm
>     Subject: Re: [Fis] definitions of information by Theil (1972)
>     derived from Shnnon (1948); back to the basics?
>
>     Unfortunately, Shannon's definition can only be used in a very
>     narrow class of cases. When we consider any process other than the
>     transmission of a message from the inductor to the recipient, this
>     definition does not work.
>     The most authoritative researchers of the philosophy of
>     information admit that there is still no general definition. The
>     concepts of information in different spheres differ significantly
>     and cannot be combined into something commonly used
>     Baumgaertner, B., Floridi, L. Introduction: The Philosophy of
>     Information. /Topoi/ *35*, 157–159 (2016).
>     https://urldefense.com/v3/__https://doi.org/10.1007/s11245-016-9370-7__;!!D9dNQwwGXtA!Ti86Yl43IeD1E9HU7CvRnJAQCbeAGNaJBLq8gucY4ZMGNJbdrm-cebGglYD8dRsQOo8DGHS4dp0LDpcE6eIVjpGe2Oj6$ 
>     <https://urldefense.com/v3/__https://doi.org/10.1007/s11245-016-9370-7__;!!D9dNQwwGXtA!SXg13tbkdIexlHicpgmmFoFwIcpgeHl3c2rgtD9HsQHuKRQodSQhjWMYAL-3r-YyBOXRc3vMzQUkPXSVFHs$>
>
>     ------------------------------------------------------------------------
>     *From:* Fis <fis-bounces at listas.unizar.es> on behalf of Loet
>     Leydesdorff <loet at leydesdorff.net>
>     *Sent:* 23 January 2023 23:29
>     *To:* fis at listas.unizar.es <fis at listas.unizar.es>
>     *Subject:* [Fis] definitions of information by Theil (1972)
>     derived from Shnnon (1948); back to the basics?
>     Theil (1972) pp. 1 and 2:
>     */1.1. /* */Information/*
>     Consider an event /E /with probability /p; / the nature of the
>     event is irrele­vant. At some point in time we receive a reliable
>     message stating that /E /in fact occurred. The question is: How
>     should one measure the amount of information conveyed by this
>     message?
>     /Information/
>     Since the question is vague, we shall try to answer it in an
>     intuitive manner. Suppose that /p /is close to 1 (e.g., /p =
>     /.95). Then, one may argue, the message conveys very little
>     information, because it was virtually certain that /E w/ould take
>     place. But suppose that /p = .01, /so that it is almost certain /E
>     /will not occur. If /E /nevertheless does occur, the message
>     stating this will be unexpected and hence contains a great deal of
>     information.
>
>     These intuitive ideas suggest that, if we want to measure the
>     information derived from a message in terms of the probability /p
>     / that prevailed before or to the arrival of the message, we
>     should select a /decreasing / function. The function proposed by
>     SHANNON (1948) is when the probability prior to the message is
>     zero) to 0 (zero information when the probability is one).
>
>     The unit of information is determined by the base of the
>     logarithm. Frequently 2 is used as a base, which implies that any
>     message concerning a 50-50 event has unit information: h() = log
>     _2 2 = 1, and information is then said to be measured in binary
>     digits or, for short, /bits. / When natural logarithms are used,
>     the information unit is a /nit. /
>     /
>     /
>     /best, loet/
>     /
>     /
>     *_______________*
>     *Loet Leydesdorff*
>     *
>     *
>     *"The Evolutionary Dynamics of Discusive Knowledge"
>     <https://urldefense.com/v3/__https://link.springer.com/book/10.1007/978-3-030-59951-5__;!!D9dNQwwGXtA!UCpI3A8EWvaVDmOuc9hvIQ63G4mDCTSSAo-msd5Fp1s28PF75NWu969e_W5KiezGFeMPMGFtXsQLLuhNS00$>(Open
>     Access)*
>     Professor emeritus, University of Amsterdam
>     Amsterdam School of Communication Research (ASCoR)
>     loet at leydesdorff.net ; https://urldefense.com/v3/__http://www.leydesdorff.net/__;!!D9dNQwwGXtA!Ti86Yl43IeD1E9HU7CvRnJAQCbeAGNaJBLq8gucY4ZMGNJbdrm-cebGglYD8dRsQOo8DGHS4dp0LDpcE6eIVjhEiBZef$ 
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>
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>
>     ORCID: https://urldefense.com/v3/__http://orcid.org/0000-0002-7835-3098__;!!D9dNQwwGXtA!Ti86Yl43IeD1E9HU7CvRnJAQCbeAGNaJBLq8gucY4ZMGNJbdrm-cebGglYD8dRsQOo8DGHS4dp0LDpcE6eIVjguDZXh5$ 
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>
>
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