Cybernetics • Regulation In Biological Systems • Discussion 3

Re: CyberneticsFaisal L. Kadri

Maybe it will help to say a few things about the way forward …

I’ll be getting back to Ashby’s text directly — it’s still the best guide I’ve found to the rudiments of cybernetics and the underlying logic of developing systems.  Once we’ve laid down a stable platform of basic ideas we’ll be equipped to explore many directions of application, extension, and generalization.

As far as the future goes …

The way I see it, scientific inquiry is a cybernetic process carried on at every scale from individual inquirers to whole communities of inquiry.  That’s the way forward for me, but it’s still a ways to go.

Reference

  • Ashby, W.R. (1956), An Introduction to Cybernetics, Chapman and Hall, London, UK.  Republished by Methuen and Company, London, UK, 1964.  Online.

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Higher Order Sign Relations • Discussion 1

Re: FB | Charles S. Peirce SocietyJohn Corcoran

Questions about the proper treatment of use and mention from the standpoint of Peirce’s theory of signs came up recently in discussions on Facebook.  In pragmatic semiotics the trade‑off between “signs-of-objects” and “signs-as-objects” opens up the wider space of higher order sign relations.  In previous work on Inquiry Driven Systems I introduced the subject in the following way.

When interpreters reflect on their use of signs they require an appropriate technical language in which to pursue their reflections.  They need signs referring to sign relations, signs referring to elements and components of sign relations, and signs referring to properties and classes of sign relations.  The orders of signs developing as reflection evolves can be organized under the heading of “higher order signs” and the reflective sign relations involving them can be referred to as “higher order sign relations”.

References

Resources

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Cybernetics • Regulation In Biological Systems • Selection 8

We want to understand how a species of organisms might evolve:  (1) organic means of storing formal structures capable of bearing information about an organism’s state in the world, and (2) faculties for developing artificial extensions of those means.  Keeping that goal in mind, let’s follow Ashby’s thesis about the mark of a good regulator as he applies it to higher forms of regulation.

Regulation In Biological Systems

Survival

Ashby Cybernetics Figure 10.5.2

10/6.[concl.]   The same argument will apply, with obvious modifications, to the automatic pilot.  If it is a good regulator the passengers will have a smooth flight whatever the gustiness outside.  They will, in short, be prevented from knowing whether or not it is gusty outside.  Thus a good pilot acts as a barrier against the transmission of that information.

The same argument applies to an air-conditioner.  If I live in an air-conditioned room, and can tell, by the hotness of the room, that it is getting hot outside, then that conditioner is failing as a regulator.  If it is really good, and the blinds are drawn, I shall be unable to form any idea of what the outside weather is like.  The good conditioner blocks the flow inwards of information about the weather.

The same thesis applies to the higher regulations achieved by such activities as hunting for food, and earning one’s daily bread.  Thus while the unskilled hunter or earner, in difficult times, will starve and will force his liver and tissues (the essential variables) to extreme and perhaps unphysiological states, the skilled hunter or earner will go through the same difficult times with his liver and tissues never taken to extremes.  In other words, his skill as a regulator is shown by the fact, among others, that it prevents information about the times reaching the essential variables.  In the same way, the skilled provider for a family may go through difficult times without his family realising that anything unusual has happened.  The family of an unskilled provider would have discovered it.

In general, then, an essential feature of the good regulator is that it blocks the flow of variety from disturbances to essential variables.

Reference

  • Ashby, W.R. (1956), An Introduction to Cybernetics, Chapman and Hall, London, UK.  Republished by Methuen and Company, London, UK, 1964.  Online.

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Cybernetics • Regulation In Biological Systems • Discussion 2

Re: Systems ScienceJack Ring

In the last selection we found Ashby making what may strike us initially as a surprising inference.  Starting from the assumption that “an essential function of F as a regulator is that it shall block the transmission of variety from disturbance to essential variable” he draws the conclusion that “the regulator’s function is to block the flow of information”.

Ashby’s reasoning at this point caused me to do a double take, because I normally think of information as a resource for reducing variety, in other words, the dispersive quality of entropy.  But a little reflection convinced me Ashby is making sense here, so long as we read him right.

Jack Ring’s suggestion, “Consider that the regulator blocks information that is detrimental to the system mission”, serves to point us in the right direction.  Strictly speaking, though, it is not the information about temperature variation that is detrimental to the system’s mission but the temperature variation itself.  The regulator acts in such a way as to block the information about variation, but solely as a side effect of damping the real variation.

But we need to keep one thing in mind.  When we speak of the regulator blocking the flow of information, we are talking about the whole system (D, F, E) as a “black box”, where the net information flow from input to output is as low as possible.  When we turn to a finer-grained analysis of regulated systems we will see that all sorts of information has to be processed inside the system in order to achieve its mission.

Reference

  • Ashby, W.R. (1956), An Introduction to Cybernetics, Chapman and Hall, London, UK.  Republished by Methuen and Company, London, UK, 1964.  Online.

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Cybernetics • Regulation In Biological Systems • Selection 7

Let’s pick up the observation Ashby made at the end of the last selection, regarding the job of a regulator, and continue with his text from there.

Regulation In Biological Systems

Survival

Ashby Cybernetics Figure 10.5.2

10/6.[cont.]   If F is a regulator, the insertion of F between D and E lessens the variety that is transmitted from D to E.  Thus an essential function of F as a regulator is that it shall block the transmission of variety from disturbance to essential variable.

Since this characteristic also implies that the regulator’s function is to block the flow of information, let us look at the thesis more closely to see whether it is reasonable.

Suppose that two water-baths are offered me, and I want to decide which to buy.  I test each for a day against similar disturbances and then look at the records of the temperatures;  they are as in Fig. 10/6/1.

Ashby Cybernetics Figure 10.6.1

Fig. 10/6/1

There is no doubt that \mathrm{Model}~ B is the better;  and I decide this precisely because its record gives me no information, as does A\text{'s}, about what disturbances, of heat or cold, came to it.  The thermometer and water in bath B have been unable, as it were, to see anything of the disturbances D.

Reference

  • Ashby, W.R. (1956), An Introduction to Cybernetics, Chapman and Hall, London, UK.  Republished by Methuen and Company, London, UK, 1964.  Online.

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Cybernetics • Regulation In Biological Systems • Selection 6

Regulation In Biological Systems

Survival

Ashby Cybernetics Figure 10.5.2

10/6.   Regulation blocks the flow of variety.   On what scale can any particular mechanism F be measured for its value or success as a regulator?  The perfect thermostat would be one that, in spite of disturbance, kept the temperature constant at the desired level.  In general, there are two characteristics required:  the maintenance of the temperature within close limits, and the correspondence of this range with the desired one.  What we must notice in particular is that the set of permissible values, \eta, has less variety than the set of all possible values in E;  for \eta is some set selected from the states of E.  If F is a regulator, the insertion of F between D and E lessens the variety that is transmitted from D to E.  Thus an essential function of F as a regulator is that it shall block the transmission of variety from disturbance to essential variable.

Reference

  • Ashby, W.R. (1956), An Introduction to Cybernetics, Chapman and Hall, London, UK.  Republished by Methuen and Company, London, UK, 1964.  Online.

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Cybernetics • Regulation In Biological Systems • Discussion 1

Re: Ontolog ForumJon AwbreyPaola Di Maio

JA:
We continue in pursuit of a system-theoretic answer to the question:  What are formalisms and all their embodiments in brains and computers good for?
PDM:
Could you also provide a brief answer to the question, through your analysis of the text you reference — we all suffer from attention deficit and may forget what you were trying to say at the beginning.

I know what you mean.  Brevity is the soul of wit, but the brief lives of mortal attention spans struggle to embody half of it.  I personally have trouble remembering what I was thinking a few days ago unless I wrote it down somewhere I can easily find again.

My question about the good of embodied formalisms was intended to call attention to a natural connection between Pragmatic Truth and Cybernetic Purpose.  Pragmatic ways of thinking about the role of representations in relating interpreters to objective realities naturally harmonize with systems thinking about the role of information in achieving the objectives of agents.  In either mode of thinking we tend to become quickly dissatisfied with disembodied abstractions, detached from dynamic context and meaningful purpose.

Reference

  • Ashby, W.R. (1956), An Introduction to Cybernetics, Chapman and Hall, London, UK.  Republished by Methuen and Company, London, UK, 1964.  Online.

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Cybernetics • Regulation In Biological Systems • Selection 5

Regulation In Biological Systems

Survival

Ashby Cybernetics Figure 10.5.2

10/5.[concl.]   To make the assumptions clear, here are some simple cases, as illustration.  (Inanimate regulatory systems are given first for simplicity.)

(1) The thermostatically-controlled water-bath.  E is its temperature, and what is desired (\eta) is the temperature range between, say 36° and 37°C.  D is the set of all the disturbances that may drive the temperature outside that range — addition of cold water, cold draughts blowing, immersion of cold objects, etc.  F is the whole regulatory machinery.  F, by its action, tends to lessen the effect of D on E.

(2) The automatic pilot.  E is a vector with three components — yaw, pitch, and roll — and \eta is the set of positions in which these three are all within certain limits.  D is the set of disturbances that may affect these variables, such as gusts of wind, movements of the passengers in the plane, and irregularities in the thrusts of the engines.  F is the whole machinery — pilot, ailerons, rudder, etc. — whose action determines how D shall affect E.

(3) The bicycle rider.  E is chiefly his angle with the vertical.  \eta is the set of small permissible deviations.  D is the set of those disturbances that threaten to make the deviation become large.  F is the whole machinery — mechanical, anatomical, neuronic — that determines what the effect of D is on E.

Many other examples will occur later.  Meanwhile we can summarise by saying that natural selection favours those gene-patterns that get, in whatever way, a regulator F between the disturbances D and the essential variables E.  Other things being equal, the better F is as a regulator, the larger the organism’s chance of survival.

Reference

  • Ashby, W.R. (1956), An Introduction to Cybernetics, Chapman and Hall, London, UK.  Republished by Methuen and Company, London, UK, 1964.  Online.

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Cybernetics • Regulation In Biological Systems • Selection 4

Regulation In Biological Systems

Survival

10/5.[cont.]   Now regard the system as one of parts in communication.  In the previous section the diagram of immediate effects (of cat and mouse) was (or could be regarded as)

Ashby Cybernetics Figure 10.5.1

We are now considering the case in which the diagram is

Ashby Cybernetics Figure 10.5.2

in which E is the set of essential variables, D is the source of disturbance and dangers (such as C) from the rest of the world, and F is the interpolated part (shell, brain, etc.) formed by the gene-pattern for the protection of E.  (F may also include such parts of the environment as may similarly be used for E\text{'s} protection — burrow for rabbit, shell for hermit-crab, pike for pike-man, and sword (as defence) for swordsman.)

For convenience in reference throughout Part III, let the states of the essential variables E be divided into a set \eta — those that correspond to “organism living” or “good” — and \text{not-}\eta — those that correspond to “organism not living” or “bad”.  (Often the classification cannot be as simple as this, but no difficulty will occur in principle;  nothing to be said excludes the possibility of a finer classification.)

Reference

  • Ashby, W.R. (1956), An Introduction to Cybernetics, Chapman and Hall, London, UK.  Republished by Methuen and Company, London, UK, 1964.  Online.

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Cybernetics • Regulation In Biological Systems • Selection 3

Regulation In Biological Systems

Survival

10/5.   What is it survives, over the ages?  Not the individual organism, but certain peculiarly well compounded gene-patterns, particularly those that lead to the production of an individual that carries the gene-pattern well protected within itself, and that, within the span of one generation, can look after itself.

What this means is that those gene-patterns are specially likely to survive (and therefore to exist today) that cause to grow, between themselves and the dangerous world, some more or less elaborate mechanism for defence.  So the genes in Testudo cause the growth of a shell;  and the genes in Homo cause the growth of a brain.  (The genes that did not cause such growths have long since been eliminated.)

Reference

  • Ashby, W.R. (1956), An Introduction to Cybernetics, Chapman and Hall, London, UK.  Republished by Methuen and Company, London, UK, 1964.  Online.

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Posted in Adaptive Systems, Ashby, C.S. Peirce, Communication, Control, Cybernetics, Evolution, Information, Inquiry Driven Systems, Learning, Logic, Mathematics, Peirce, Purpose, Regulation, Survival, Truth Theory, W. Ross Ashby | Tagged , , , , , , , , , , , , , , , , , | 6 Comments