Dualism: a Causal Correspondence Theory
Physics Department, University of Surrey, Guildford GU2 7XH, U.K.
A suggestion is made
how the mind and brain might fit together intimately while still maintaining
distinct identities. The connection is based on the correspondence of similar
functions in both the mind and the quantum-mechanical brain.
A Different Approach
Despite the apparently smallness of quantum effects in the brain, quantum physics
may be important in our understanding of its function.
To show this, I am going to take a different approach. I am going to assume,
in a non-reductionist way, as Eccles and others do, that the mind is (in
some way) distinct from the brain. But I want to then see how they could
be intimately connected again. Psychologists and psychiatrists are aware
of the close functional dependence of minds and brains, so that physiological
changes very readily affect the mind in many ways, and mental intentions
and attitudes affect both the normal and abnormal functioning of the nervous
I am going to take a `top-down' to the problem of interaction, and will
suggest how it may usefully be organised, from the functional point of
view. I am not going to assume that quantum mechanics must be unchanged;
I am therefore going to follow the `spirit' if not the `letter' of quantum
physics. The aim is to motivate a plausible general view which will make
predictions about what goes on. Afterwards I will discuss the origins of
this general view.
The guiding principle I use is that the mind and brain are similar in
structure and function, and that they need each other to operate. They
are not identical, but are similar in the sense of `resonating'
or `corresponding' to each other from the functional point of view. In
order to see how the mind and brain are similar and fit together
in this general way, we do need to remember quantum physics.
Similarity of Minds and (Quantum) Brains
I am here going to draw analogies between mental and quantum phenomena.
If you already know something about minds, these may help you understand
quantum physics! Some of these have been pointed out by Bohm (1951, §
8.27ff) and more recently by Jahn & Dunne (1986) and Zohar (1990) (although
perhaps understood in different ways: see later discussion).
Jahn and Zohar have tended to concentrate on the analogies between mental
structures, and the structure of matter entailed by quantum mechanics.
They look at analogies between, for example, minds and quantum systems,
and then especially analogies between how minds interact and how quantum
systems interact. I will be looking rather at analogies between individual
mental processes within minds and individual quantum processes. I believe
that only when we understand the elementary processes of both the mind
and quantum matter, can we more completely understand complex systems of
In order to make analogies with quantum physics, I am going to assume
something like the `propensity interpretation' of Maxwell (1988) and others
(Thompson, 1988). I am also going to assume a view of mind that is in part
phenomenological (after Bergson especially), and in part influenced by
(a few of) the aims of artificial intelligence (AI) and the recognition
of the complexity of even apparently elementary mental processes. On this
basis, we can draw analogies between the fundamental processes of quantum
physics and the fundamental processes of mental activity:
||Quantum objects do not evolve uniformly in time, but as a succession of
`states' between intermittently `actualising' to one outcome of a certain
Mental entities do not evolve uniformly in time, but in a succession
of `specious presents' between intermittent changes of state.
||The state of a quantum object is not a static configuration of elements,
but a `state of propensity' for possible virtual processes, possible interactions
and possible actual (observable) outcomes.
The state of a mind is not static, but more a `state of propensity':
it is a continual recollection of past events and continual anticipation
of future possibilities.
||The state of a quantum object may be described by a wave function distributed
is space, but this does not mean that the quantum object is composed of
elements so distributed. Rather, it has a basic unity in that it will always
act as a whole. These spatial distributions merely describe where it can
The state of a mind has a similar basic unity. The thoughts in the
mind may be diverse, and each may implicitly contain diverse elements (usually
the better for doing so), but if they lead to action these diverse elements
were merely describing where the mind could have operated.
||The driving impetus of quantum processes are not external, but the very
propensities of which quantum objects are forms. These propensities operate
according to the (spatiotemporal) circumstantial relations with other objects.
The driving motivation of mental processes are not external, but the
very motivational loves which underly all psychic activities. These motivations
operate according to the circumstances at each time.
||Behind the apparently continuous evolution of the Schrödinger's equation,
there is a progressive multitude of `virtual events' whose operation forms
the potential term in Schrödinger's equation.
As a consequence of simulation efforts in AI, we know that the operation
of even seemingly simple events such as the perception of solid objects
must involve `behind the scenes' a great deal of information processing
which is not apparent in the act of perception itself.
In view of these analogies,
and also those given later,
it unlikely that the mental and physical processes are independent, and
merely interact with each other at certain `mental-neural' events (Eccles,
1989). We could hold that they both derive from a `quantum realm', but
I hold to a more radical (but simpler) idea that the propensities for
physical processes derive from mental processes, which in turn always act
according to past physical events. This idea, explained further in
the next section, means that the mental and physical realms are far from
separable, but are intimately related in a very systematic manner. Thus,
although the basic idea may not be exactly fashionable these days, it is
an idea with significant predictive power and good empirical content. Nevertheless,
as explained later, it has a long and venerable history, and deserves closer
How Minds and (Quantum) Brains Fit Together
In order for people to have functioning minds, their minds must at least
be able to
One way that these requirements can be most simply accomplished is by means
of the idea above, formulated in the following three principles:
- implement intended functions using the motor areas,
- establish permanent memories, presumably by means of permanent physiological
- form perceptions using information from the visual & auditory (etc.)
- be able to follow `internal' trains of thought/feeling/imagining without
necessarily having any external effects.
These principles together give what can be called `conditional forward
causation', or `top-down causation'. Note that we do not have a
fourth `bottom-up' principle that neural events directly cause events to
occur in the mind. We do not have general matter $\rightarrow$ mind causation,
although something resembling this does arise, namely `selection'. This
is not causation in the primary sense of `principal causation' as `producing
or generating the effect'. It is more in the secondary sense of `instrumental
causation' as `providing a necessary prerequisite'.
That the mind predisposes the physical/physiological potentialities (both
deterministic or indeterministic according to quantum physics).
That the `predispositional' capacities of the mind are consequentially
restricted (and hence conditioned) by their actual effect.
That the pattern of I and II is repeated for individual stages of more
A strong argument for these three principles is that they are already
similar to what is known already to happen in quantum physics, in quantum
field theory to be precise. According to that theory, there is a class
of events called `virtual events' which select and predispose the ordinary
quantum wave function. These virtual events operate deterministically,
and describe the operation of the electric, magnetic, nuclear and gravitational
forces. They are not the `final' actual events of quantum mechanics (those
are the definite outcomes of events like observations). Rather, they are
a `prior level' of `implicit events' whose operation is needed in order
to produce the potentialities for events like observations. The principle
(I) states the analogical result that mental events themselves are a `prior
level' of `implicit events' whose operation is needed in order to produce
the potentialities for physical events.
The argument for the principle (II) is more general. Whenever any
potentiality is exercised to produce a particular outcome, future potentialities
must depend on the detailed outcome. Suppose for example that at the moment,
I have the potentialities of moving left or right; if I actually move left,
say, then this influences (by restriction to a fixed history) of what I
can do from now on. This second principle can also be seen as a `law of
karma': your future life is restricted and influenced by your past actions
(by selection). Physical events are in this way the necessary foundations
for permanent mental history and structure.
Principle (III) has an important corollary
This is because mental functions involve intermediate steps, and these
intermediate mental steps predispose suitable intermediate physical steps
(by I), and are in turn conditioned or confirmed by them (by II). Thus
the sequence of physical steps will follow the sequence of mental steps,
and the overall function of the physical process will be analogous (in
some sense) to the overall function of the mental process. Examples of
this `mirroring' or `corresponding' have already been illustrated by the
similarities between minds and brains listed in the previous section. Examples
of correspondences of complex processes in the mind with those of physics
will be given below .
That the mind predisposes the brain to carry out those functions which
`mirror' or `correspond to' the mind's own functions.
Let us then see how these principles enable the mind and brain to function
- The particular functions selected by the mind to be carried out by the
brain will be the establishment of spatiotemporal patterns of neural activity
that may then be `decoded' in the motor cortex to lead to the desired activities,
by the principle (I). Principle (IIIb) establishes a criterion for the
overall functioning of this decoding.
- Permanent physiological changes lead to permanent memories in the mind,
by the principle (II). (It is an empirical question, which physiological
changes are relevant, but principle (IIIb) will be a guide.)
- Perceptions are formed by the sensory cortex areas deterministically forming
particular patterns of neural activity, so that these physiological effects
can select the subsequent perceptual content of the mind. The process here
is rather subtle. The mind must have a `general disposition' to see/imagine
any of its possible percepts; the role of the sensory cortex is to select
the particular content, by means of principle (II). Thus we have the general
psychological observation that `we see only what we are capable of and
disposed to see'.
- To be able to follow `internal' trains of thought/feeling/imagining without
necessarily having any external effects, the mind must be able to produce
physiological effects which do not have any significant consequences. Presumably,
much of the cerebral cortex can function in a `loosely connected' way,
in order to provide the foundation for a set of permanent mental structures.
Mind and Brain as `Hand and Glove'
This theory of mind and brain connection establishes in intimate relation
between them. It is not a relation of identity, or a relation of aspects
or points of view. It is more a relation of inner and outer, or cause and
effect: propensities in the brain are the causal product of mental actions.
As put in by Bawden (1947), `the role of the psychical in relation to the
physical (in the living organism) is essentially the relation of the potential
or incipient to kinetic or overt action'.
The mind and brain fit together by approximate analogy with hand and
glove, or, better, with tissue and skin. The analogy (by principle IIIb)
is most precisely with the functions of tissue & skin, and not
so much with their material shape. The mind provides all the directed activity
of the brain, just as the tissue of the hand provides all the directed
activity of the skin of the hand. When we look at the head, we only see
the brain, just as we only see skin when we look at the hand. It appears
that the skin of the hand does all the work, but we don't assume that that
is all there is. It appears that the skin has life, but we know
that all but the simplest life comes from the underlying tissue. The skin
(as does the brain) has simple capacities for action and reactions, but
it is a mistake to imagine that all capacities for activity and information
processing belong to the skin (or the brain).
Once we have the basic idea of functional correspondences between physical
and mental systems based on their causal interrelations, then we have a
fertile source for exploring the detailed structure of one using what we
know about the other.
Psychology of Stages
Because there are `prior' and `post' levels of events even within
physics, by the correspondence principle IIIb, there must also be prior
and post levels of events within the mind. Piaget's theory of stages of
development is relevant here. In table 1 the Piagetian
stages have been reformulated as the acquisition of capacities for dealing
with ideas on the successive layers (supplemented by a `creative stage'
of Gowan (1972): see Thompson (1990) for more details). The relations between
the ideas of adjacent levels is then analogous to the relation between
any pair of prior and post events, according to principles I, II and III
Table 1: Relation between Network Layers and
During each stage, at the approximate ages shown, the child is
learning to relate the concepts listed in the second column. That is, (s)he
is constructing relations in a network at the given level.
||Network Relations of
Piaget/ Gowan Stage
||plans, models, formalisms
||classes, series, numbers
||events, single relations, sentences
||preoperational (preconceptual & intuitive)
||images, motor movements
There appears to be a broad analogy of the `practical' layers (0, 1
and 2) with the `real' events of quantum mechanics, and of the `theoretical'
layers (3, 4 and 5) with its `virtual' events. This can be spelt out in
more detail, approximately as in table 2 . Here, the
basic idea (following principle IIIb) is that the mind at a given stage
is capable of `thinking about' the corresponding features of quantum mechanics.
The set of propensities/quantum systems/actual selections provides the
mechanisms for the actual events of ordinary (non-relativistic) quantum
mechanics, whereas the set of least-action principles/evolution equations/groups
describes the basic principles and virtual events of quantum field theory.
Table 2: Relation of Network Layers to Quantum
||plans, models, formalisms
||time evolution equations
||classes, series, numbers
||events, single relations
||propensities & forces
Artificial Intelligence and Neural Networks
Neural networks have proved to be useful framework for formulating a wide
range of information processing problems in cognitive psychology. This
has lead some to postulate their sufficiency for a system of artificial
intelligence. However, there are three main problems with neural networks.
The first is the question of speed, the second the problem of procedures,
and the third the problem of levels.
It is still possible that the brain uses neural networks so that their
various `final states' serve to indicate different image categories and
different actions. In the present causal theory of mind-brain interaction,
however, it is more likely that the mind can act by predisposing the neural
nets to settle to some preferred outcome. That is, the mind determines
(from the function it wishes performed) which collective state of the neural
system is to be achieved. From the point of view of the brain, the neural
net would appear to be the `non-deterministic automaton' of complexity
theory, heading more or less quickly for the preferred solution (while
thus verifying that it is a solution).
In order for neural networks to (approximately) solve global optimisation
problems, some search procedure such as simulated annealing is required.
This is notoriously slow, and, as still a procedure of `exponential complexity',
will be prohibitively slow for problems of realistic complexities.
Neural networks have fixed connections only, and in order for them to achieve
anything like translation or scale invariances for perception, then all
possible translations and scales have to be `hard wired' simultaneously
(Hinton et al, 1985). This could be avoided again by some `procedural'
or `algorithmic' mechanisms, with `variable bindings', but this can only
be implemented in neural networks by `brute force' multiple connections.
Neural networks seem to plausibly describe the interactions of related
ideas on a given `level' of table 1. They are notoriously
poor, indeed AI as a whole is notoriously poor, at modelling the connections
between the separate layers (see Thompson, 1990).
The problems of procedures and levels in neural networks are resolved
by having multiple levels of simultaneous mental operation within
the mind. The relations between the multiple levels then follows the principles
I, II and III. Principle I means that the higher level predisposes the
interactions at the lower level. Principle IIIb means that it does so in
order to carry out particular functions. Principle II means that configurations
at the lower level (e.g. images) select a particular perception (e.g. of
an object) which would produce that image. This selection must be able
to made very quickly - much more quickly than any detailed analytical algorithm
could be elaborated.
What is new physics in this proposal, is the first principle I: that the
mind predisposes the physiological potentialities (whether deterministic
or indeterministic according to quantum physics). This relation between
mind and brain is analogous to that between virtual and real quantum events,
but postulating the mind/brain relation to be of this kind has new empirical
The predisposition of physical propensities is of course not arbitrary.
It is conditioned from the physical side by past actual events, from the
mental side by the functions which may be accomplished, and from both sides
by the requirement of correspondence. These constraints mean we do not
have merely a `mind of the gaps' which fills in what is left undetermined
by modern science. There are certainly gaps to be filled, but the present
scheme will also explain what we already know, not just what we don't know.
If, for example, there is a regular sequence of actual physical events,
and the predisposition is not varying, then there will be a constant production
of new propensities, and hence a regular sequence of physical effects as
if by a universal physical law. Thus our principles can provide a new basis
for physical laws which we already know.
When there are intermediate propensities (e.g. of individual minds)
then physical events do not follow the previous simple pattern. The new
pattern will describe how the brain works in conjunction with the mind.
Clues to this behaviour can be found by analogy with psychological processes,
as discussed later.
- We saw in table 2 that the images (in the mind) correspond
to actual selections (in quantum mechanics). This casts new light on our
old problem of the role of consciousness in quantum measurement, and we
see that perception of images does cause and correspond to the selection
of actual outcomes of measurement in quantum physics. It is similar to
Eccles' proposal, but now we have a better idea of the mental side of the
picture. The network level 0 is the initial stage of cognitive development,
and does not require any sophisticated analytical or predictive capacities:
it is more the ability to `see what there is to see'. This means that the
selection of outcomes of measurements does not happen at the time of the
(random) event, but later, when perceptible differences have emerged,
and are perceived.
- The ability of the sensorimotor mind to influence the course of events
is, however, quite limited. Its role in everyday life is more to provide
a source of perceptions, and implement outcomes that have already been
decided. This corresponds in quantum mechanics to the small size of Planck's
constant, and the rarity of quantum-random events which do have
perceptible differences. Occasionally, however, there is still a need for
basic decisions, and (in the mind and in quantum mechanics) it is necessary
to decide between one of a small number of options. On these occasions,
consciousness does limit itself to a single perception, and this does cause
the selection of a particular outcome of a event left random by quantum
- Most of the interesting processes in the mind and in quantum physics take
place at levels 3 - 5: the `theoretical' layers as these were described
earlier. Processes occur at these layers which generate in the first place
the `short list' of options for the sensorimotor mind, and a great deal
of detailed knowledge and derivation goes into this preparation.
- The operation of predisposition and correspondence in these `higher' levels
must mean that the time-evolution equation of physics, normally taken to
be Schrödinger's equation, is not fixed. We should be able to discover
circumstances in which even classical systems follow a modified physical
These ideas have the possible disadvantage (or feature) that the operation
of ordinary inert physical processes requires further analysis. Basically,
since the propensities for physical processes derive from mental processes,
all physical dispositions must derive (or have been derived from) some
prior psychical level. This may sound like pan-psychism, but I am not saying
that all physical processes include their own consciousnesses. There
is a simpler solution, if you can accept the new metaphysics that there
is some kind of Source, composed of suitable `psychic' propensities, from
which everyday material propensities perpetually derive. Since the operation
of this Source is always according to past physical events, we saw above
that this operation amounts to the constant production of new propensities
as if a `physical law' were prevailing. That is the way most scientists
prefer to see the world. It is only that sometimes things are not so simple.
There may be some reaction to the apparent `dualism' in these ideas,
as I have postulated minds existing separately from brains. However, this
separation is only in our theory: in practice they need each other, and
function together as a unified whole - as the person.
Origin of these ideas
I have presented these ideas as worth of consideration on their own, but
they really have a long history in a variety of contexts. The basic idea
that causation only truly works from the mind into the brain (and not vice
versa) is not a popular one today, but has to be traced back to `non-standard'
insights of people such as Plotinus (b. 205), Boehme (b. 1575), Swedenborg
(b. 1688) and some other traditions. Swedenborg was well educated as a
physicist and then physiologist, so I find his accounts the most detailed
and useful. Of course, he knew nothing of quantum mechanics (only Newtonian
mechanics), so I have had to `re-apply' his principles in the light of
what we now know about the physical world. He, however, has the clearest
presentation of the idea of `conditional forward causation' (he calls it
`influx into uses'), and he gives the most complete account of the `correspondences'
which exist between mental and bodily things. For a brief summary of his
ideas, see Thompson (1989).
In order to understand how the mind and brain function together, it is
not enough for there to be gaps in our physical theories. We also need
to have a unified picture of both minds and brains. In this paper I have
tried to outline such a unified approach. These suggestions require some
departure from what is commonly accepted in the physical sciences, but
we can still learn a great deal from what has already been discovered both
there and in the psychological sciences.
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