[Fis] Is information physical? A logical analysis

Burgin, Mark mburgin at math.ucla.edu
Thu May 31 04:24:38 CEST 2018


Dear Loet,
Only one remark. There is no Shannon-type information but there is 
Shannon's measure of information, which is called entropy.

Sincerely,
Mark



On 5/23/2018 10:44 PM, Loet Leydesdorff wrote:
> Dear Mark, Soren, and colleagues,
>
> The easiest distinction is perhaps Descartes' one between/res 
> cogitans/ and/res extensa/ as two different realities. Our knowledge 
> in each case that things could have been different is not out there in 
> the world as something seizable such as piece of wood.
>
> Similarly, uncertainty in the case of a distribution is not seizable, 
> but it can be expressed in bits of information (as one measure among 
> others). The grandiose step of Shannon was, in my opinion, to enable 
> us to operationalize Descartes'/cogitans/ and make it amenable to the 
> measurement as information.
>
> Shannon-type information is dimensionless. It is provided with meaning 
> by a system of reference (e.g., an observer or a discourse). Some of 
> us prefer to call only thus-meaningful information real information 
> because it is embedded. One can also distinguish it from Shannon-type 
> information as Bateson-type information. The latter can be debated as 
> physical.
>
> In the ideal case of an elastic collision of "billard balls", the 
> physical entropy (S= kB * H) goes to zero. However, if two particles 
> have a distribution of momenta of 3:7 before a head-on collision, this 
> distribution will change in the ideal case into 7:3. Consequently, the 
> probabilistic entropy is .7 log2 (.7/.3) + .3 log2 (.3/.7) =  .86 – 
> .37 = .49 bits of information. One thus can prove that this 
> information is not physical.
>
> Best,
> Loet
>
> ------------------------------------------------------------------------
>
> Loet Leydesdorff
>
> Professor emeritus, University of Amsterdam
> Amsterdam School of Communication Research (ASCoR)
>
> loet at leydesdorff.net <mailto:loet at 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 Fellow, Birkbeck <http://www.bbk.ac.uk/>, University of London;
>
> http://scholar.google.com/citations?user=ych9gNYAAAAJ&hl=en
>
>
> ------ Original Message ------
> From: "Burgin, Mark" <mburgin at math.ucla.edu 
> <mailto:mburgin at math.ucla.edu>>
> To: "Søren Brier" <sbr.msc at cbs.dk <mailto:sbr.msc at cbs.dk>>; "Krassimir 
> Markov" <markov at foibg.com <mailto:markov at foibg.com>>; 
> "fis at listas.unizar.es" <fis at listas.unizar.es 
> <mailto:fis at listas.unizar.es>>
> Sent: 5/24/2018 4:23:53 AM
> Subject: Re: [Fis] Is information physical? A logical analysis
>
>> Dear Søren,
>> You response perfectly supports my analysis. Indeed, for you only the 
>> Physical World is real. So, information has to by physical if it is 
>> real, or it cannot be real if it is not physical.
>> Acceptance of a more advanced model of the World, which includes 
>> other realities, as it was demonstrated in my book “Structural 
>> Reality,” allows understand information as real but not physical.
>>
>> Sincerely,
>>    Mark
>>
>> On 5/17/2018 3:29 AM, Søren Brier wrote:
>>>
>>> Dear Mark
>>>
>>> Using ’physical’ this way it just tends to mean ’real’, but that 
>>> raises the problem of how to define real. Is chance real? I Gödel’s 
>>> theorem or mathematics and logic in general (the world of form)? Is 
>>> subjectivity and self-awareness, qualia? I do believe you are a 
>>> conscious subject with feelings, but I cannot feel it, see it, 
>>> measure it. Is it physical then?? I only see what you write and your 
>>> behavior. And are the meaning of your sentences physical? So here we 
>>> touch phenomenology (the experiential) and hermeneutics (meaning and 
>>> interpretation) and more generally semiotics (the meaning of signs 
>>> in cognition and communication). We have problems encompassing these 
>>> aspects in the natural, the quantitative and the technical sciences 
>>> that makes up the foundation of most conceptions of information science.
>>>
>>>   Best
>>>
>>>                           Søren
>>>
>>> *Fra:*Fis <fis-bounces at listas.unizar.es> *På vegne af *Krassimir Markov
>>> *Sendt:* 17. maj 2018 11:33
>>> *Til:* fis at listas.unizar.es; Burgin, Mark <mburgin at math.ucla.edu>
>>> *Emne:* Re: [Fis] Is information physical? A logical analysis
>>>
>>> Dear Mark and FIS Colleagues,
>>>
>>> First of all. I support the idea of Mark to write a paper and to 
>>> publish it in IJ ITA.
>>>
>>> It will be nice to continue our common work this way.
>>>
>>> At the second place, I want to point that till now the discussion on
>>>
>>> *Is information physical?*
>>>
>>> was more-less chaotic – we had no thesis and antithesis to discuss 
>>> and to come to some conclusions.
>>>
>>> I think now, the Mark’s letter may be used as the needed thesis.
>>>
>>> What about the ant-thesis? Well, I will try to write something below.
>>>
>>> For me, physical, structural and mental  are one and the same.
>>>
>>> Mental means physical reflections and physical processes in the 
>>> Infos consciousness. I.e. “physical” include “mental”.
>>>
>>> Structure (as I understand this concept) is mental reflection of the 
>>> relationships “between” and/or “in” real (physical) entities as well 
>>> as “between” and/or “in” mental (physical) entities.
>>>
>>> I.e. “physical” include “mental” include “structural”.
>>>
>>> Finally, IF  “information is physical, structural and mental” THEN 
>>> simply the  “information is physical”!
>>>
>>> Friendly greetings
>>>
>>> Krassimir
>>>
>>> *From:*Burgin, Mark <mailto:mburgin at math.ucla.edu>
>>>
>>> *Sent:*Thursday, May 17, 2018 5:20 AM
>>>
>>> *To:*fis at listas.unizar.es <mailto:fis at listas.unizar.es>
>>>
>>> *Subject:*Re: [Fis] Is information physical? A logical analysis
>>>
>>>    Dear FISers,
>>>    It was an interesting discussion, in which many highly 
>>> intelligent and creative individuals participated expressing 
>>> different points of view. Many interesting ideas were suggested. As 
>>> a conclusion to this discussion, I would like to suggest a logical 
>>> analysis of the problem based on our intrinsic and often tacit 
>>> assumptions.
>>>
>>>    To great extent, our possibility to answer the question “Is 
>>> information physical? “ depends on our model of the world. Note that 
>>> here physical means the nature of information and not its substance, 
>>> or more exactly, the substance of its carrier, which can be 
>>> physical, chemical biological or quantum. By the way, expression 
>>> “quantum information” is only the way of expressing that the carrier 
>>> of information belongs to the quantum level of nature. This is 
>>> similar to the expressions “mixed numbers” or “decimal numbers”, 
>>> which are only forms or number representations and not numbers 
>>> themselves.
>>>
>>>   If we assume that there is only the physical world, we have, at 
>>> first, to answer the question “Does information exist? “ All FISers 
>>> assume that information exists. Otherwise, they would not 
>>> participate in our discussions. However, some people think 
>>> differently (cf., for example, Furner, J. (2004) Information studies 
>>> without information).
>>>
>>>    Now assuming that information exists, we have only one option, 
>>> namely, to admit that information is physical because only physical 
>>> things exist.
>>>    If we assume that there are two worlds - information is physical, 
>>> we have three options assuming that information exists:
>>> - information is physical
>>> - information is mental
>>> - information is both physical and mental
>>>
>>> Finally, coming to the Existential Triad of the World, which 
>>> comprises three worlds - the physical world, the mental world and 
>>> the world of structures, we have seven options assuming that 
>>> information exists:
>>> - information is physical
>>> - information is mental
>>> - information is structural
>>> - information is both physical and mental
>>> - information is both physical and structural
>>> - information is both structural and mental
>>> - information is physical, structural and mental
>>>
>>> The solution suggested by the general theory of information tries to 
>>> avoid unnecessary multiplication of essences suggesting that 
>>> information (in a general sense) exists in all three worlds but … in 
>>> the physical world, it is called *energy*, in the mental world, it 
>>> is called *mental energy*, and in the world of structures, it is 
>>> called *information* (in the strict sense). This conclusion well 
>>> correlates with the suggestion of Mark Johnson that information is 
>>> both physical and not physical only the general theory of 
>>> information makes this idea more exact and testable.
>>>    In addition, being in the world of structures, information in the 
>>> strict sense is represented in two other worlds by its 
>>> representations and carriers. Note that any representation of 
>>> information is its carrier but not each carrier of information is 
>>> its representation. For instance, an envelope with a letter is a 
>>> carrier of information in this letter but it is not its representation.
>>>    Besides, it is possible to call all three faces of information by 
>>> the name energy - physical energy, mental energy and structural energy.
>>>
>>>    Finally, as many interesting ideas were suggested in this 
>>> discussion, may be Krassimir will continue his excellent initiative 
>>> combining the most interesting contributions into a paper with the title
>>> *Is information physical?*
>>>    and publish it in his esteemed Journal.
>>>
>>>    Sincerely,
>>>    Mark Burgin
>>>
>>> On 5/11/2018 3:20 AM, Karl Javorszky wrote:
>>>
>>>     Dear Arturo,
>>>
>>>     There were some reports in clinical psychology, about 30 years
>>>     ago, that relate to the question whether a machine can pretend
>>>     to be a therapist. That was the time as computers could newly be
>>>     used in an interactive fashion, and the Rogers techniques were a
>>>     current discovery.
>>>
>>>     (Rogers developed a dialogue method where one does not address
>>>     the contents of what the patient says, but rather the emotional
>>>     aspects of the message, assumed to be at work in the patient.)
>>>
>>>     They then said, that in some cases it was indistinguishable,
>>>     whether a human or a machine provides the answer to a patient's
>>>     elucidations.
>>>
>>>     Progress since then has surely made possible to create machines
>>>     that are indistinguishable in interaction to humans. Indeed,
>>>     what is called "expert systems ", are widely used in many
>>>     fields. If the interaction is rational,  that is: formally
>>>     equivalent to a logical discussion modi Wittgenstein, the
>>>     difference in: "who arrived at this answer, machinery or a
>>>     human", becomes irrelevant.
>>>
>>>     Artistry, intuition, creativity are presently seen as not
>>>     possible to translate into Wittgenstein sentences. Maybe the
>>>     inner instincts are not yet well understood. But!: there are
>>>     some who are busily undermining the current fundamentals of
>>>     rational thinking. So there is hope that we shall live to
>>>     experience the ultimate disillusionment,  namely that humans are
>>>     a combinatorial tautology.
>>>
>>>     Accordingly, may I respectfully express opposing views to what
>>>     you state: that machines and humans are of incompatible builds.
>>>     There are hints that as far as rational capabilities go, the
>>>     same principles apply. There is a rest, you say, which is not of
>>>     this kind. The counter argument says that irrational processes
>>>     do not take place in organisms, therefore what you refer to
>>>     belongs to the main process, maybe like waste belongs to the
>>>     organism's principle. This view draws a picture of a functional
>>>     biotope, in which the waste of one kind of organism is raw
>>>     material for a different kind.
>>>
>>>     Karl
>>>
>>>     <tozziarturo at libero.it> schrieb am Do., 10. Mai 2018 15:24:
>>>
>>>         Dear Bruno,
>>>         You state:
>>>         "IF indexical digital mechanism is correct in the cognitive
>>>         science,
>>>         THEN “physical” has to be defined entirely in arithmetical
>>>         term, i.e. “physical” becomes a mathematical notion.
>>>         ...Indexical digital mechanism is the hypothesis that there
>>>         is a level of description of the brain/body such that I
>>>         would survive, or “not feel any change” if my brain/body is
>>>         replaced by a digital machine emulating the brain/body at
>>>         that level of description".
>>>
>>>         The problem of your account is the following:
>>>         You say "IF" and "indexical digital mechanism is the
>>>         HYPOTHESIS".
>>>         Therefore, you are talking of an HYPOTHESIS: it is not
>>>         empirically tested and it is not empirically testable.  You
>>>         are starting with a sort of postulate: I, and other people,
>>>         do not agree with it.  The current neuroscience does not
>>>         state that our brain/body is (or can be replaced by) a
>>>         digital machine.
>>>         In other words, your "IF" stands for something that possibly
>>>         does not exist in our real world.  Here your entire building
>>>         falls down.
>>>
>>>         --
>>>         Inviato da Libero Mail per Android
>>>
>>>         giovedì, 10 maggio 2018, 02:46PM +02:00 da Bruno Marchal
>>>         marchal at ulb.ac.be <mailto:marchal at ulb.ac.be>:
>>>
>>>
>>>             (This mail has been sent previously , but without
>>>             success. I resend it, with minor changes). Problems due
>>>             to different accounts. It was my first comment to Mark
>>>             Burgin new thread “Is information physical?”.
>>>
>>>             Dear Mark, Dear Colleagues,
>>>
>>>             Apology for not answering the mails in the chronological
>>>             orders, as my new computer classifies them in some
>>>             mysterious way!
>>>
>>>             This is my first post of the week. I might answer
>>>             comment, if any, at the end of the week.
>>>
>>>                 On 25 Apr 2018, at 03:47, Burgin, Mark
>>>                 <mburgin at math.ucla.edu> wrote:
>>>
>>>                 Dear Colleagues,
>>>
>>>                 I would like to suggest the new topic for discussion
>>>
>>>                 Is information physical?
>>>
>>>             That is an important topic indeed, very close to what I
>>>             am working on.
>>>
>>>             My result here is that
>>>
>>>             *_IF_*indexical digital mechanism is correct in the
>>>             cognitive science,
>>>
>>>             *_THEN_*  “physical” has to be defined entirely in
>>>             arithmetical term, i.e. “physical” becomes a
>>>             mathematical notion.
>>>
>>>             The proof is constructive. It shows exactly how to
>>>             derive physics from Arithmetic (the reality, not the
>>>             theory. I use “reality” instead of “model" (logician’s
>>>             term, because physicists use “model" for “theory").
>>>
>>>             Indexical digital mechanism is the hypothesis that there
>>>             is a level of description of the brain/body such that I
>>>             would survive, or “not feel any change” if my brain/body
>>>             is replaced by a digital machine emulating the
>>>             brain/body at that level of description.
>>>
>>>             Not only information is not physical, but matter, time,
>>>             space, and all physical objects become part of the
>>>             universal machine phenomenology. Physics is reduced to
>>>             arithmetic, or, equivalently, to any Turing-complete
>>>             machinery. Amazingly Arithmetic (even the tiny
>>>             semi-computable part of arithmetic) is Turing complete
>>>             (Turing Universal).
>>>
>>>             The basic idea is that:
>>>
>>>             1) no universal machine can distinguish if she is
>>>             executed by an arithmetical reality or by a physical
>>>             reality. And,
>>>
>>>             2) all universal machines are executed in arithmetic,
>>>             and they are necessarily undetermined on the set of of
>>>             all its continuations emulated in arithmetic.
>>>
>>>             That reduces physics to a statistics on all computations
>>>             relative to my actual state, and see from some first
>>>             person points of view (something I can describe more
>>>             precisely in some future post perhaps).
>>>
>>>             Put in that way, the proof is not constructive, as, if
>>>             we are machine, we cannot know which machine we are. But
>>>             Gödel’s incompleteness can be used to recover this
>>>             constructively for a simpler machine than us, like Peano
>>>             arithmetic. This way of proceeding enforces the
>>>             distinction between first and third person views (and
>>>             six others!).
>>>
>>>             I have derived already many feature of quantum mechanics
>>>             from this (including the possibility of quantum
>>>             computer) a long time ago.  I was about sure this would
>>>             refute Mechanism, until I learned about quantum
>>>             mechanics, which verifies all the most startling
>>>             predictions of Indexical Mechanism, unless we add the
>>>             controversial wave collapse reduction principle.
>>>
>>>             The curious “many-worlds” becomes the obvious (in
>>>             arithmetic) many computations (up to some equivalence
>>>             quotient). The weird indeterminacy becomes the simpler
>>>             amoeba like duplication. The non-cloning of matter
>>>             becomes obvious: as any piece of matter is the result of
>>>             the first person indeterminacy (the first person view of
>>>             the amoeba undergoing a duplication, …) on infinitely
>>>             many computations. This entails also that neither matter
>>>             appearance nor consciousness are Turing emulable per se,
>>>             as the whole arithmetical reality—which is a highly non
>>>             computable notion as we know since Gödel—plays a key
>>>             role. Note this makes Digital Physics leaning to
>>>             inconsistency, as it implies indexical computationalism
>>>             which implies the negation of Digital Physics (unless my
>>>             “body” is the entire physical universe, which I rather
>>>             doubt).
>>>
>>>
>>>
>>>                 My opinion is presented below:
>>>
>>>                    Why some people erroneously think that
>>>                 information is physical
>>>
>>>                    The main reason to think that information is
>>>                 physical is the strong belief of many people,
>>>                 especially, scientists that there is only physical
>>>                 reality, which is studied by science. At the same
>>>                 time, people encounter something that they call
>>>                 information.
>>>
>>>                    When people receive a letter, they comprehend
>>>                 that it is information because with the letter they
>>>                 receive information. The letter is physical, i.e., a
>>>                 physical object. As a result, people start thinking
>>>                 that information is physical. When people receive an
>>>                 e-mail, they comprehend that it is information
>>>                 because with the e-mail they receive information.
>>>                 The e-mail comes to the computer in the form of
>>>                 electromagnetic waves, which are physical. As a
>>>                 result, people start thinking even more that
>>>                 information is physical.
>>>
>>>                    However, letters, electromagnetic waves and
>>>                 actually all physical objects are only carriers or
>>>                 containers of information.
>>>
>>>                    To understand this better, let us consider a
>>>                 textbook. Is possible to say that this book is
>>>                 knowledge? Any reasonable person will tell that the
>>>                 textbook contains knowledge but is not knowledge
>>>                 itself. In the same way, the textbook contains
>>>                 information but is not information itself. The same
>>>                 is true for letters, e-mails, electromagnetic waves
>>>                 and other physical objects because all of them only
>>>                 contain information but are not information. For
>>>                 instance, as we know, different letters can contain
>>>                 the same information. Even if we make an identical
>>>                 copy of a letter or any other text, then the letter
>>>                 and its copy will be different physical objects
>>>                 (physical things) but they will contain the same
>>>                 information.
>>>
>>>                    Information belongs to a different (non-physical)
>>>                 world of knowledge, data and similar essences. In
>>>                 spite of this, information can act on physical
>>>                 objects (physical bodies) and this action also
>>>                 misleads people who think that information is physical.
>>>
>>>             OK. The reason is that we can hardly imagine how
>>>             immaterial or non physical objects can alter the
>>>             physical realm. It is the usual problem faced by dualist
>>>             ontologies. With Indexical computationalism we recover
>>>             many dualities, but they belong to the phenomenologies.
>>>
>>>
>>>
>>>                    One more misleading property of information is
>>>                 that people can measure it. This brings an erroneous
>>>                 assumption that it is possible to measure only
>>>                 physical essences. Naturally, this brings people to
>>>                 the erroneous conclusion that information is
>>>                 physical. However, measuring information is
>>>                 essentially different than measuring physical
>>>                 quantities, i.e., weight. There are no “scales” that
>>>                 measure information. Only human intellect can do this.
>>>
>>>             OK. I think all intellect can do that, not just he human
>>>             one.
>>>
>>>             Now, the reason why people believe in the physical is
>>>             always a form of the “knocking table” argument. They
>>>             knocks on the table and say “you will not tell me that
>>>             this table is unreal”.
>>>
>>>             I have got so many people giving me that argument, that
>>>             I have made dreams in which I made that argument, or
>>>             even where I was convinced by that argument … until I
>>>             wake up.
>>>
>>>             When we do metaphysics with the scientific method, this
>>>             “dream argument” illustrates that seeing, measuring, …
>>>             cannot prove anything ontological. A subjective
>>>             experience proves only the phenomenological existence of
>>>             consciousness, and nothing more. It shows that although
>>>             there are plenty of strong evidences for a material
>>>             reality, there are no evidences (yet) for a primitive or
>>>             primary matter (and that is why, I think, Aristotle
>>>             assumes it quasi explicitly, against Plato, and
>>>             plausibly against Pythagorus).
>>>
>>>             Mechanism forces a coming back to Plato, where the
>>>             worlds of ideas is the world of programs, or
>>>             information, or even just numbers, since very elementary
>>>             arithmetic (PA without induction, + the predecessor
>>>             axiom) is already Turing complete (it contains what I
>>>             have named a Universal Dovetailer: a program which
>>>             generates *and* executes all programs).
>>>
>>>             So I agree with you: information is not physical. I
>>>             claim that if we assume Mechanism (Indexical
>>>             computationalism) matter itself is also not *primarily*
>>>             physical: it is all in the “head of the universal
>>>             machine/number” (so to speak).
>>>
>>>             And this provides a test for primary matter: it is
>>>             enough to find if there is a discrepancy between the
>>>             physics that we infer from the observation, and the
>>>             physics that we extract from “the head” of the machine.
>>>             This took me more than 30 years of work, but the results
>>>             obtained up to now is that there is no discrepancies. I
>>>             have compared the quantum logic imposed by
>>>             incompleteness (formally) on the semi-computable
>>>             (partial recursive, sigma_1) propositions, with most
>>>             quantum logics given by physicists, and it fits rather well.
>>>
>>>             Best regards,
>>>
>>>             Bruno
>>>
>>>             _______________________________________________
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