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cybernetic system). But the engineers who design such systems benefit enormously from knowing the
mathematics of such systems. In the same way I trust that if academics and experimenters can give us a
more detailed understanding of the way in which the various systems of the mind and body which are
involved in Hypnosis and Hypnotherapy interact, then we will all acquire a clearer idea of what
Hypnotherapy is about, and also be able to refine and improve our strategies in given cases.
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Principles of Hypnosis (25). Mathematics applied to Hypnotic Processes!
I hope that no one feels that this approach takes all the poetry out of the subject. Think rather that just as
the discipline of a strict metre is what has given us the glory of the greatest poetry, just so does the
discipline of thinking clearly and accurately about a problem lead to the best therapy.
If the poetry of a body lies in the lines of the flesh, it nevertheless needs the inner strength of the bones to
keep those lines firm.
This book on the principles of our subject provides the bones on which its fair form may display its
beauty.
SUMMARY
The mathematical modelling of organic systems is a rich and growing field. The principles of this book
lead to a description of the methods of Hypnotherapy in terms of the dynamics of organic systems. It is
therefore in a far better position than all other theories of Hypnosis or, indeed, of Psychotherapy to take
advantage of mathematical modelling to strengthen and illuminate the subject.
In this chapter some simple examples have been presented for the benefit of readers with a little
mathematics to illustrate something of what can be achieved by applying mathematical processes to a
situation.
Important practical conclusions which have come out of it are the following:
It is NOT the case that the existence of a positive feedback loop inevitably means a massive increase in
the activity of the component processes. The increase may be very mild if the coupling constants are
small.
It is NOT the case that a negative feedback loop inevitably means a return to the original value of the
activities after a disturbance. The new values can generally be different. Furthermore in an
over-controlled situation, the negative feedback loop may even lead to increasingly LARGE swings in
the activity of the variables, and so the situation can be UNSTABLE.
In attempting either to use or to remove either positive or negative feedback loops, the Hypnotherapist
will be typically working on the coupling constants between the systems involved.
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