Information and Wittgenstein


We should keep the self-evident in focus and refrain from descending into a
philosophical nihilism. We are, after all, reasonable people, who are able
to use our intelligence while communicating, and usually we understand each
other quite well. The idea, that information is just a mental creation,
evades the point: conceding that information is only a mental image, then
what is that which determines, which amino acid comes to which place and is
apparently contained in the sequence of the DNA triplets? If information is
just an erroneous concept, then what is that what we receive as we ask at
the airport, which gate to go for boarding?

No, information does exist and we do use it day by day. Shannon has
developed a method of repeatedly bifurcating a portion of N until finding
that n of N that corresponds to the same n of which the sender encoded the
search pattern for the receiver. The task lies not in negating the
existence of the phaenomenon, but in proposing a more elegant and for
biology useful explanation of the phaenomenon. The object of the game is
still the same: identifying an n of N.

The same situation is here with gravitation. We have a name for it, can
measure it and integrate the concept - more or less seamlessly – into a
general explanation. We just do not know, in an epistemological sense, what
gravitation is. We have to take the normative power of the factual
seriously and admit that we may have problems in the naming of an observed
fact. This does not absolve us from the task of philosophers, that is, to
try to understand and find good explanations for the facts that we perceive
and to our thoughts about the perceptions and the facts.

Adorno summarised the critique on Wittgenstein’s Tractatus, by saying, that
W. apparently had not read the job description of a philosopher carefully
enough: the task is not to investigate that what can be said exactly about
a subject that is well known to all, but the task is to chisel away the
border separating that what can be only felt and that what can be expressed
understandably. This is the envy speaking of someone who suffered an
Oedipus tragedy. Socrates said that the perpetrator of a crime suffers more
than the victim, and post-war German philosophy understandably had no time
to be interested in rules of exact speech. The grammar of the logical
language, as a subject for serious study, was swept aside by historical
cataclysms, although Wittgenstein begot Frege and Carnap who begot von
Neumann and Boole who begot Shannon and Chomsky. That he in his later life
put aside his epoch-generating work is completely in the consequence of
what he had said. It is not disowning the ladder one has built to climb up
a level of abstraction while doing a cartography of what exact talking
really means, but a wise and truthful modesty of an artist who had
fabricated a tool for a specific project. No self-respecting artist would
want to be remembered for a practical tool he had assembled for a specific
task. Roughly citing, he says so much: those who have understood what is
written here, may throw [this book] away, like one has no need for a ladder
after one has climbed a level. Having found out how the technical people
speak (or should speak), he withdraws from that field, having clarified the
rules of exact thinking, closing the subject in a conclusive fashion for
about 4 generations, and acts in later life as if precognisant of Adorno’s
words.

Information is a connection of a symbol with a different symbol, if this
state of the world can have a background and alternatives. If something can
be otherwise, then the information is contained in the enumeration of the
cases of being otherwise.

By the use of computers, we can now create a whole topography and
dramaturgy of exact speech. Had we the creativity of the Greeks, we would
write a comedy, performed in public, by actors and narrators. The title
could be: “All acting dutifully, striving their right place, catharsia are
inevitable”. The best youth of Sparta, Athens etc. would compete for
prominent places in diverse disciplines, but the results are not
satisfactory, as the debate emerges, which of the disciplines are above the
others. The wise people of Attica have come up with a perpetual compromise,
its main points repeatedly summarised by the chorus, ruling that being
constantly underway between both correct positions: p1 in discipline d1 and
position p2 in discipline d2, is the divine sign of a noble character. If
every athlete follows the same rule, imagine the traffic jams on the stage
of the amphitheatre! The Greeks would have built an elaborate system of
philosophy about the predictable collisions among actors representing
athletes who have attended many of the concourses. They could have come up
with specific names for typical results and would have named the
agglomerations “elements” and “isotopes” that differ among each other on
how many of the actors are glued together for lack of space to pass
through, where too many paths cross, and on the form of the squeeze they
constitute. They would no doubt have categorised and sub-classified and
tabulated the inevitable melee that comes from having competing
requirements to serve, a subject not far from their preoccupations with
logic and predictable, consistent, rule observing behaviour by all, that by
its very nature creates cooperation and conflict, destruction and growth.

As long as the background and the alternatives to the statements, that
describe what is the case, are conceptually discouraged or disallowed, it
appears not very easy to use the term “information” in a consistent
fashion. Information describes that what is not the case. (The DNA
eliminates all the alternatives to that specific amino acid on that
specific place; we have received information by knowing all those gates
where we will not board the plane.)



Thank you for this enjoyable year.

Karl



2016-12-24 2:39 GMT+01:00 Louis H Kauffman <kauff...@uic.edu>:

> Dear Steve,
> You write
> "But in later years he eventually recognized that the possibility of
> relating propositions in language to facts concerning the world could not
> in itself be proved. Without proof, the house of cards collapses. Once the
> validity of using language to describe the world ini a rigorous and
> unambiguous way is questioned, not much is left.”
>
> I do not think that the issue of proof was foremost for Wittgenstein.
> Rather, he later understood that a pure mirroring of language and world was
> untenable and worked directly with language and its use to show how complex
> was the actuality. The result is that one can still read the Tractatus
> meaningfully, knowing that it states and discusses an ideal of (formal)
> language and a view of the world so created that is necessarily limited.
> Indeed the later Wittgenstein and the Tractatus come together at the point
> of the Tractatus showing how meagre is that ‘that can be said’ from its
> mirrored and logical point of view.
> The Tractatus indicates its own incompleteness, and in do doing
> invalidates its use by the logical positivists as a model for the
> performance of science. It was in this background that (through Goedel) the
> Incompleteness Theorem arose in the midst of the Vienna Circle. And here we
> are in a world generated by formal computer languages, facing the
> uncertainties of models that are sensitive enough (as in economics and
> social science) to cross the boundary and affect what is to be modeled.
> Best,
> Lou Kauffman
>
> On Dec 23, 2016, at 11:27 AM, steven bindeman <bindem...@verizon.net>
> wrote:
>
> I would like to contribute to the current ongoing discussion regarding the
> relation between information and meaning. I agree with Dai Griffiths and
> others that the term information is a problematic construction. Since it is
> often used as an example of fitting the details of a specific worldly
> situation into a linguistic  form that can be processed by a computer, this
> fact in itself introduces various distortions from the reality that is
> being represented.  The degree of distortion might even be an example of
> the degree of uncertainty.
>
> I believe that reference to the early work of Wittgenstein might be of use
> in this context, especially since his work in his Tractatus text on
> problems related to logical atomism influenced the design of the von
> Neumann computer, led to the creation of the Vienna Circle group and later
> inspired the philosophical movement of logical positivism. Alan Turing was
> also one of his students.
>
> In this early work Wittgenstein had believed that a formal theory of
> language could be developed, capable of showing how propositions can
> succeed in representing real states of affairs and in serving the purposes
> of real life. He believed that language is like a picture which is laid
> against reality like a measuring rod and reaches right out to it. But in
> later years he eventually recognized that the possibility of relating
> propositions in language to facts concerning the world could not in itself
> be proved. Without proof, the house of cards collapses. Once the validity
> of using language to describe the world ini a rigorous and unambiguous way
> is questioned, not much is left. Although propositions are indeed capable
> of modeling and describing the world with a rigor not unlike that of
> mathematical representations of physical phenomena, they cannot themselves
> describe how they represent this world without becoming self-referential.
> Propositions are consequently essentially meaningless, since their meaning
> consists precisely in their ability to connect with the world outside of
> language. A perfect language mirrors a  perfect world, but  since the
> latter is nothing more than a chimera so is the former.
>
> Here are some quotes (taken out of their original contexts) from
> Wittgenstein’s Tractatus that I believe are relevant to the discussion on
> information and meaning:
>
> The facts in logical space are the world. What is the case — a fact— is
> the existence of states of affairs.  A state of affairs (a state of things)
> is a combination of objects (things). It is essential to things that they
> should be possible constituents of states of affairs. If I know an object I
> also know all its possible occurrences in states of affairs.  Objects
> contain the possibility of all situations. The configuration of objects
> produces states of affairs. The totality of existing states of affairs is
> the world. The existence and non-existence of states of affairs is reality.
> States of affairs are independent of one another.  A picture is a model of
> reality. A picture is a fact.  Logical pictures can depict the world. A
> picture depicts reality by representing a possibility of existence and
> non-existence of states of affairs. Situations can be described but not
> given names. (Names are like points; propositions like arrows — they have
> sense.)  Only propositions have sense; only in the nexus of a proposition
> does  a name have meaning.
>
> Finally, with regards to the problems about information, I would add that
> Alfred Korzybski (and later Marshall McLuhan) once wrote that “the map is
> not the territory.” The map is merely a picture of something that it
> represents. Increasing the amount of information may reduce the granularity
> of the picture, but it remains a picture. This means that accumulation
> greater and greater amounts of information can never completely replace or
> represent the infinite complexity of any real-lilfe situation — and this is
> an insight that Wittgenstein realized only in his later philosophical work.
>
> Steve Bindeman
>
>
> On Dec 22, 2016, at 7:37 AM, fis-requ...@listas.unizar.es wrote:
>
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> Today's Topics:
>
>   1. Re: What is information? and What is life? (Dai Griffiths)
>
>
> ----------------------------------------------------------------------
>
> Message: 1
> Date: Wed, 21 Dec 2016 12:44:59 +0000
> From: Dai Griffiths <dai.griffith...@gmail.com>
> To: fis@listas.unizar.es
> Subject: Re: [Fis] What is information? and What is life?
> Message-ID: <dbbfa511-b4e1-79b5-f800-bad1c231b...@gmail.com>
> Content-Type: text/plain; charset="utf-8"; Format="flowed"
>
> Information is not ?something out there? which ?exists? otherwise
>
> than as our construct.
>
> I agree with this. And I wonder to what extent our problems in
> discussing information come from our desire to shoe-horn many different
> phenomena into the same construct. It would be possible to disaggregate
> the construct. It be possible to discuss the topics which we address on
> this list without using the word 'information'. We could discuss
> redundancy, variety, constraint, meaning, structural coupling,
> coordination, expectation, language, etc.
>
> In what ways would our explanations be weakened?
>
> In what ways might we gain in clarity?
>
> If we were to go down this road, we would face the danger that our
> discussions might become (even more) remote from everyday human
> experience. But many scientific discussions are remote from everyday
> human experience.
>
> Dai
>
> On 20/12/16 08:26, Loet Leydesdorff wrote:
>
>
> Dear colleagues,
>
> A distribution contains uncertainty that can be measured in terms of
> bits of information.
>
> Alternatively: the expected information content /H /of a probability
> distribution is .
>
> /H/is further defined as probabilistic entropy using Gibb?s
> formulation of the entropy .
>
> This definition of information is an operational definition. In my
> opinion, we do not need an essentialistic definition by answering the
> question of ?what is information?? As the discussion on this list
> demonstrates, one does not easily agree on an essential answer; one
> can answer the question ?how is information defined?? Information is
> not ?something out there? which ?exists? otherwise than as our construct.
>
> Using essentialistic definitions, the discussion tends not to move
> forward. For example, Stuart Kauffman?s and Bob Logan?s (2007)
> definition of information ?as natural selection assembling the very
> constraints on the release of energy that then constitutes work and
> the propagation of organization.? I asked several times what this
> means and how one can measure this information. Hitherto, I only
> obtained the answer that colleagues who disagree with me will be
> cited. JAnother answer was that ?counting? may lead to populism. J
>
> Best,
>
> Loet
>
> ------------------------------------------------------------------------
>
> Loet Leydesdorff
>
> Professor, University of Amsterdam
> Amsterdam School of Communication Research (ASCoR)
>
> l...@leydesdorff.net <mailto:l...@leydesdorff.net>;
> http://www.leydesdorff.net/
> Associate Faculty, SPRU, <http://www.sussex.ac.uk/spru/>University of
> Sussex;
>
> Guest Professor Zhejiang Univ. <http://www.zju.edu.cn/english/>,
> Hangzhou; Visiting Professor, ISTIC,
> <http://www.istic.ac.cn/Eng/brief_en.html>Beijing;
>
> Visiting Professor, Birkbeck <http://www.bbk.ac.uk/>, University of
> London;
>
> http://scholar.google.com/citations?user=ych9gNYAAAAJ&hl=en
>
> *From:*Dick Stoute [mailto:dick.sto...@gmail.com]
> *Sent:* Monday, December 19, 2016 12:48 PM
> *To:* l...@leydesdorff.net
> *Cc:* James Peters; u...@umces.edu; Alex Hankey; FIS Webinar
> *Subject:* Re: [Fis] What is information? and What is life?
>
> List,
>
> Please allow me to respond to Loet about the definition of information
> stated below.
>
> 1. the definition of information as uncertainty is counter-intuitive
> ("bizarre"); (p. 27)
>
> I agree.  I struggled with this definition for a long time before
> realising that Shannon was really discussing "amount of information"
> or the number of bits needed to convey a message.  He was looking for
> a formula that would provide an accurate estimate of the number of
> bits needed to convey a message and realised that the amount of
> information (number of bits) needed to convey a message was dependent
> on the "amount" of uncertainty that had to be eliminated and so he
> equated these.
>
> It makes sense to do this, but we must distinguish between "amount of
> information" and "information".  For example, we can measure amount of
> water in liters, but this does not tell us what water is and likewise
> the measure we use for "amount of information" does not tell us what
> information is. We can, for example equate the amount of water needed
> to fill a container with the volume of the container, but we should
> not think that water is therefore identical to an empty volume.
> Similarly we should not think that information is identical to
> uncertainty.
>
> By equating the number of bits needed to convey a message with the
> "amount of uncertainty" that has to be eliminated Shannon, in effect,
> equated opposites so that he could get an estimate of the number of
> bits needed to eliminate the uncertainty.  We should not therefore
> consider that this equation establishes what information is.
>
> Dick
>
> On 18 December 2016 at 15:05, Loet Leydesdorff <l...@leydesdorff.net
> <mailto:l...@leydesdorff.net>> wrote:
>
> Dear James and colleagues,
>
> Weaver (1949) made two major remarks about his coauthor (Shannon)'s
> contribution:
>
> 1. the definition of information as uncertainty is counter-intuitive
> ("bizarre"); (p. 27)
>
> 2. "In particular, information must not be confused with meaning." (p. 8)
>
> The definition of information as relevant for a system of reference
> confuses information with "meaningful information" and thus sacrifices
> the surplus value of Shannon's counter-intuitive definition.
>
> information observer
>
> that integrates interactive processes such as
>
> physical interactions such photons stimulating the retina of the eye,
> human-machine interactions (this is the level that Shannon lives on),
> biological interaction such body temperature relative to touch ice or
> heat source, social interaction such as this forum started by Pedro,
> economic interaction such as the stock market, ... [Lerner, page 1].
>
> We are in need of a theory of meaning. Otherwise, one cannot measure
> meaningful information. In a previous series of communications we
> discussed redundancy from this perspective.
>
> Lerner introduces mathematical expectation E[Sap] (difference between
> of a priory entropy [sic] and a posteriori entropy), which is
> distinguished from the notion of relative information Iap (Learner,
> page 7).
>
> ) expresses in bits of information the information generated when the
> a priori distribution is turned into the a posteriori one . This
> follows within the Shannon framework without needing an observer. I
> use this equation, for example, in my 1995-book /The Challenge of
> Scientometrics/ (Chapters 8 and 9), with a reference to Theil (1972).
> The relative information is defined as the /H///H/(max).
>
> I agree that the intuitive notion of information is derived from the
> Latin ?in-formare? (Varela, 1979). But most of us do no longer use
> ?force? and ?mass? in the intuitive (Aristotelian) sense. JThe
> proliferation of the meanings of information if confused with
> ?meaningful information? is indicative for an ?index sui et falsi?, in
> my opinion. The repetitive discussion lames the progression at this
> list. It is ?like asking whether a glass is half empty or half full?
> (Hayles, 1990, p. 59).
>
> This act of forming forming an information process results in the
> construction of an observer that is the owner [holder] of information.
>
> The system of reference is then no longer the message, but the
> observer who provides meaning to the information (uncertainty). I
> agree that this is a selection process, but the variation first has to
> be specified independently (before it can be selected.
>
> And Lerner introduces the threshold between objective and subjective
> observes (page 27).   This leads to a consideration selection and
> cooperation that includes entanglement.
>
> I don?t see a direct relation between information and entanglement. An
> observer can be entangled.
>
> Best,
>
> Loet
>
> PS. Pedro: Let me assume that this is my second posting in the week
> which ends tonight. L.
>
>
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