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Note: This paper was published in 1994 in New Ideas In Psychology
Vol. 12(2), pp. 153-167, Pergamon Press



        THE CARTESIAN THEORY:
     Unification of Eysenck and Gray


                   GEORGE HAMMOND

              

Abstract- This paper advances a new and comprehensive theory
of the biological basis of the Structural Model of
Personality.  The Cartesian geometry of the brain is proposed
as the origin of the Structural Model.  Eysenck's personality
model is identified with the Cartesian structure of the brain.
A decussation in the Papez loop serves to unite Gray's
personality model with Eysenck's model providing strong
experimental support. The theory explains the Big-5 model in
psychometry which is cited as a direct empirical confirmation.
The Cartesian Theory advances that the Structural Model of
Personality, contrary to prevailing opinion, is an axiomatic
"hard science" structure.



 I. INTRODUCTION: A PRIMER IN THEORETICAl  PHYSICS FOR
    PSYCHOLOGISTS



The author is a theoretical physicist although he has spent a decade working
in psychology.  For this reason it is necessary to bridge the
interdisciplinary gap between physics and psychology by explaining what is
meant by "Cartesian Theory", why it is "axiomatic", and to explain the novel
idea that psychometric structure should be identical to brain structure as
this theory proposes.
   In physics the word "Cartesian" means, and only means, an "orthogonal
three-axis structure".  The name derives from DesCartes' mathematical
studies.  DesCartes is also the author of numerous philosophical tracts, but
those works do not relate to this discussion.  Cartesian structure is unique
in that it is found that real space is Cartesian, the first axiom of
classical physics.  The Cartesian structure of space causes the common
rectangular shape of objects to be the most prevalent structure in science.
The bonding orbitals of the atoms themselves are Cartesian which imparts a
Cartesian structural influence on all material substance.  The Cartesian
structure of space imposes a physical law that all mechanical systems have
three degrees of freedom, which explains the shape of a house, a car, an
airplane; it is the first principle of all zoological formation and
axiomatically predetermines the anatomy of man.
   The human body is a three-axis Cartesian structure (Fig. 1a).  In the CNS
 Figure 1,a,b,c,d,e,f,g
the spinal cord is the first axis (neuraxis), and the Medial and Central
fissures the second and third axes; the latter two yielding a primary four-
lobed brain geometry.  This basic Cartesian geometry is derived from the
first three (Cartesian) cleavages of the egg in embryology (Fig. 1b).
   Of interest here is that each of these Cartesian axes exhibits a major
functional neurological differentiation, one on each axis; namely, the Triune
neuraxial formation (stem-limbic-cortex), the Bell-Magendie, and the
Sperrian.  This three-axis differentiation could produce three independent
psychometric factors.  thus we have at the outset, an axiomatic Cartesian
neurological structure associated with possibly three independent
psychometric factors.
   It happens that the reverse situation already exists in personality
theory.  Eysenck's three uncorrelated psychometric factors may be visually
represented by a Cartesian geometric structure (Cartesian coordinates).  This
simply because the location of a point in space is taken to be the standard
example of three independent variables  thus it is that we have psychometric
geometry linked to brain geometry.
   Now, we may also derive a further structural result from this.  If the
four main lobes of the brain (L-R motor and sensory) are the seat of four
contrasting personalities, we see that the contrast between the diagonally
situated lobes represents an extremum.  We therefore predict personality
conflict to be a diagonally organized neurological process.  This indeed
turns out to be the origin of Gray's neurologically based personality theory.
Gray's theory is a neurological connecting structure that links directly the
diagonally situated lobes of the brain, and causes, in addition to Eysenck's
three "normal" psychometric axes, a set of "diagonal" psychometric axes of
personality conflict (personality syndromes), once again geometrically
identical with their causal brain structure (Fig. 4).  This constitutes of
 Figure 4 

course, a powerful experimental confirmation of the Cartesian theory of the
brain.  Finally, it turns out that Eysenck's three dimensions of P,E,N, and
Gray's two dimensions of AnxD and ImpD, are none other than the five factors
of the celebrated Big-5 Model in personality psychometry, yielding a unitary
psychometric confirmation of the theory.
   While the established facts are clearly sufficient to advance that the
Cartesian Theory is "axiomatic", there are some who will wonder about the
ultimate biological chain of causality.  In this regard I will here present
an illuminating heuristic argument.  We may presume that in the primitive
brain one of the first logical operations was coordination of the machine in
space.  This is a Cartesian operation (cf., pitch, roll, and yaw) and we
might assume that the organism simply utilized the isomorphic structural
relation of its brain to the surrounding Cartesian space to effect this.  The
R-brain controlled R-turns, the L-brain L-turns, the front brain down turns,
etc.  Data relating head and eye steering movements (LEMS) with Sperrian
lateralization are likely evidence of this.  As the primitive brain evolved
into the complex that it is today, mechanical navigation became logical
navigation and finally psychological navigation so that today the four lobes
of the brain are the location of four "personalities" of man.  Personality
structure and indeed personality conflict, has simply evolved from man's
primitive mechanical steering system.
   Now, a speculation such as this is, of course, absolutely unessential for
the present theory and I include it only as an interesting heuristic argument
which is more or less representative of a large class of circumstantial data
of this kind.
   Having now established a bridge between the fundamental structural
principles of classical physics and those of personality structure, we turn
to a necessarily faster paced and more formal exposition of the Cartesian
Theory.  it is to be remarked here that what follows is an extremely summary
treatment of the theory; little more than a theoretical note announcing its
discovery.  Hopefully a detailed exposition will be possible later on.  I am
indebted to New Ideas in Psychology for undertaking the publication of an
unusual scientific work and particularly to two of their reviewers who first
raised the issue of the 5-Factor theory.  Had they not done so that
significant development might still lay uncovered.


                   II.  The Cartesian Theory of Anatomy


   This theory is based on the authors observation that all vertebrate
animals possess Cartesian symmetry.  In the embryo this is marked by the
neuraxis, the bilateral symmetry, and the sulcus limitans (dorso-ventral
symmetry line, D-V), the latter separating the motor and sensory plates in
the embryo. The work of Roux (1888), Driesch, Spemann, Schmidt, and others
early in this century established that macroscopic anatomical geometry is
derived from the simple Cartesian cleavage of the egg (Fig. 1b).  This
Cartesian geometry of mitosis and embryology then is the origin of the
Cartesian symmetry of the brain, evidenced in the intersection of the
neuraxis, the Medial fissure, and the Central (Rolandic) fissures of the
brain- the three Cartesian axes of the brain.
   The entire body is a Cartesian construct.  The core of this structure is
the spine which is three-axis symmetric.  The skeleton is a Cartesian
structure, including the quadrupedal locomotion system of all higher animals.
All of the fundamental systems of the body are Cartesian: The vestibular
system, the oculomotor system, the visual cortex as evidenced by
quadrantanopia, the quadrature of the circulatory system, the cerebellum, the
primary musculature, the Cartesian symmetry of the teeth, the sutures of the
skull (bregmatic fontanel), etc. (Fig. 1).
  Figure 1a,b,c,d,e,f,g
   Historically, the first of the three Cartesian divisions of the brain to
be identified by neurophysiologists was the Bell-Magendie dichotomy situated
astride the Central fissure.  Over 100 years later it fell to Roger Sperry to
identify the neuropsychological function of the second axis, the celebrated
L-R axis.  Despite the fact that it is the oldest known structure in the
brain, the attachment of a neuropsychological label to the neuraxis itself
has been slow in developing and perhaps the best-known terminology and most
comprehensive theory of this structure is Paul MacLean's Triune Brain
(MacLean, 1973) (Fig. 2).  Figure 2 
Armed with these well-documented theses we turn now to the field of
psychology to search for the possible psychological correlates of this
Cartesian neurophysiological structure.

                  III.  The Eysenckian Personality Model

   The oldest theory of personality is that of the Four Humors advanced by
Hippocrates 25 centuries ago and Eysenck has stressed the relation of this
historical model to his empirical result (Eysenck & Eysenck, 1969, p. 13).
A general convergence of current research trends towards this result has
recently been advanced by Merenda (1987).  Implicit in the Cartesian Theory
of course, is that these four historical personalities now find a scientific
basis in the four lobes of the brain.  Moreover, Freud's celebrated
Structural Model consisting of the Ego, SrEgo, Id, and Libido is identified
by the present author with this result (Fig. 6).   Figure 6 
   Eysenck's empirical personality model (Eysenck 1947, 1952, 1970, 1976,
1981, 1990, 1992b) is one of the most cited theories in contemporary
personality literature and is, arguably, the leading theory in the field.
The model consisting of three psychometric dimensions named Extraversion,
Neuroticism, and Psychoticism (E,N,P) is well known as a three-axis
orthogonal theory.  Eysenck (1967) has also advanced a biological model
identifying the neurological basis of the psychometric result.
   Eysenck's theory is immediately reconciled with the Cartesian Theory by
identifying E,N,P with the three Cartesian axes of the brain outlined in
Section II (Fig. 2).  Fig 2  A large literature on lateralization of emotion
(Silberman & Weingartner, 1986) indicates that the +N, -N spectrum (positive
vs. negative emotion) is identified with Sperrian lateralization.
Extraversion is identified with the Bell-Magendie dichotomy, support for this
coming from Brebner (1983), Brebner and Cooper (1974,1978), and Stelmack
(Stelmack & Plouffe, 1983).  Stelmack has indicated that "the case can be
made" that E is associated with the Bell-Magendie dichotomy itself.
Psychoticism is identified with the remaining Cartesian axis (the neuraxis).
Both Claridge (1981a) and Gray (1981, p. 272) have suggested a vertical
neurological integration as the basis of P and this fits with my own opinion
that it represents a vertical pathology along the axis of MacLean's Triune
Brain.
   Eysenck's neurological model is also reconciled with the Cartesian
structure of the brain.  His model identifies E with cortical arousal and N
with Limbic activation (Eysenck, 1967).  Eysenck recently states "the theory
linking Arousal with the E dimension is relatively novel, whereas that
linking N and the limbic system has a long history" (Eysenck, 1990, p. 249).
While the Cartesian theory indicates simply lateralization of the limbic
system for N, it now explains the "novel" identification of cortical arousal
with E.  the Bell-Magendie dichotomy is most visible in the cortex (the
motor-sensory strip) which would lead to an identification of E with cortical
function.  It is also interesting to note that the neuraxial modulation via
the ARAS, the third element of this model, might be related to P.
   Summing up then, Eysenck's well established E and N dimensions are clearly
correlated neurophysiological, according to contemporary data, with the first
two Cartesian axes of the brain.  Of particular note is that the obvious
criticism of Eysenck's theory for not including Sperrian lateralization
(Powell, 1981, p. 69) has been handily solved in the process.  The support
for P is still largely a case of identification by default, but not entirely
by any means, and this is attributed largely to the fact that it is a
relatively recent development in Eysenckian theory and still undergoing
development (Claridge, 1981b; Eysenck, 1990, 1992b).

               IV.  Eysenck's Quadrature in Social Attitudes

   Historically, Hans Eysenck's personality model is derived from his
research in social psychology, particularly his two-axis model of social
attitudes (Eysenck, 1944).  He proposed and has subsequently established
(Eysenck, 1951, 1954, 1975; Eysenck & Wilson, 1978) that there is a second
axis (T), orthogonal to the well-known Left-Right political axis (R),in
social attitudes.
   Despite Eysenck's insistence that the primary mooring in social attitudes
must be the historical L-R axis, there is the undeniable appearance of a
diagonal theory, rotated 45 degrees from his model.  Adorno's theory is a
famous example of this (Adorno, Frenkel-Brunswick, Levinson & Sanford, 1950).
This theory consists of a single diagonal dimension (Eysenck & Wilson, 1978,
p. 4; Ray, 1986, p. 157) which I shall call the "left diagonal".  Both
diagonals make an appearance in Ferguson's (1939, 1973) well-known result;
discussed at length by Eysenck (Eysenck, 1954, 1971; Eysenck & Wilson, 1978).
A summary of this normal vs. diagonal controversy is given by Brand (1981, p.
22) who points out that this same peculiarity appears in personality
psychometry as well as in social attitudes.
   As a matter that might shed some intuitive light on the relation of
"normal" to "diagonal" structure, I will mention my belief that Eysenck's
model is the origin of the Bicameral/Two-Party System (BI/2P), and that my
analysis of the Roll Call voting record in the U.S. Congress has detected the
existence of a diagonal "X" pattern in the voting statistics.  This suggests
that while social structure is normal, social conflict is diagonal, as it
were.
   Now, an axiomatic Cartesian theory, if proven true, would manifestly
indicate that Eysenck's social attitude model cannot be anything other than
a direct social manifestation of his personality model.  This indicates the
existence of a third axis, likewise, in social attitudes.  Eysenck has
successively tried to show that the personality dimensions E, and then P,
underlies the social dimension T (Ray, 1986, pp. 167-168).  The existence of
a third axis then, would indicate that they both probably do and that the P
component of T is actually the third axis, while the E component is probably
then, his time honored second axis.  this would complete the suspected
identity, indicated by the Cartesian theory, between the Structural Model of
Personality and the structure of social attitudes.
   The established existence however, of a diagonal structure in both social
attitudes and personality theory has been introduced here specifically for
the purpose of  providing a general backdrop for the introduction of Jeffrey
A. Gray's diagonal personality model.  In the next section it is then
demonstrated how the Cartesian Theory of the brain unifies his diagonal model
with Eysenck's model, thus yielding a powerful experimental confirmation of
the correctness of the Cartesian Theory itself, which serves to unite them.

                  V.  The Unification of Eysenck and Gray

   Gray's personality model (Gray, 1970, 1972, 1981, 1982, 1987a, 1987b,
1987c, 1988, 1991a, 1991b, 1991c) is referred to as an alternative to
Eysenck's theory, the difference being a 45 degree rotation from Eysenck's
model.  Gray's theory is based on two decades of experimental research on
Anxiety with a recent, and by comparison, rather tentative proposal
concerning the origin of Impulsivity (Gray, 1991a, 1991b, 1991c).
   The thrust of Gray's research however, is that his diagonal theory
represents a structure that is closer to biological causation than Eysenck's
theory.  Gray states: "A number of arguments suggest that the axes labelled
'anxiety' and 'impulsivity'...have a better claim to...biologically real
lines of causation than any other...including the original rotation used by
Eysenck" (Gray, 1987a, p. 352).  On the other hand we have Eysenck's opinion
of Gray's theory:  "Interesting and important as Gray's contributions have
been on the physiological side...correlational studies suggest that the
picture Gray gives is essentially wrong...on the whole it would seem more
appropriate to relate (his biological theory) to (Introversion) rather in
line with my own earlier theories" (Eysenck, 1990, p. 248).  Judging from
this, at both the biological and psychometric levels, a normal and diagonal
model are well entrenched in the literature and in fundamental disagreement.
As a further disturbing observation, it is noted that neither of these
established theories deals with the now immense topic of Sperrian
lateralization (Powell, 1981, p. 69).
   It is at this point that the Cartesian Theory happens on its first major
success.  Gray's theory is seen as the neurological structure that controls
interaction and conflict, diagonally, between the four principle lobes (L-R
motor and sensory) of the brain, which underlie Eysenck's model (Fig. 4).
Figure 4
Now, Eysenck has shown that the distribution of E and N is isotropic and
normally distributed (Burt, 1941, p. 438; eysenck, 1947, pp. 50 and 59) (Fig.
3b); while Gray advances that "Anxiety" is a sum of E and N (Gray, 1970).
Taking Anxiety = |E|+|N| we have a polar diagram of personality strength
(Fig. 3c).

Fig 3

From the quadrupole distribution of this figure, we see how a
diagonal conflict structure arises from eysenck's normal dimensions of E and
N.  Conflict is implicated, both from the bipolar structure of the dimensions
and from the classic social Left-Right conflict which exists on the
horizontal axis.  Moreover, at the biological level, we now have a four-lobed
brain structure which is suggestive in itself of a diagonal
neuropsychological extremum.  All of this suggests that Gray's model must
consist of a diagonal neurological link connecting the diagonally opposed
lobes, or personalities, of the brain.
   Gray's biological model consists of the septohippocampal system (SHS)
controlling Anxiety, a behavioral activation system (BAS) underlying
Impulsivity and a Fight/Flight system yielding a new third dimension,
suggested by Gray as possibly Eysenck's P (Gray, 1987a, 1991a, 1991b, 1991c).
Here I will simply state that the Cartesian Theory indicates that any
dimensions normal to the E-N plane has to correlate with Eysenck's P whether
controlled by a Fight/Flight or some other neurological system.  Regarding
the BAS, the Cartesian Theory indicates that there is a far more fundamental
neurophysiological origin of Impulsivity than "goal oriented motor
programming" (BAS) as recently advanced by Gray (1991a, 1991b, 1991c).  In
fact, it is a decussation in the SHS that indicates that it is the SHS once
again, which Gray has spent 20 years developing, that not only controls
Anxiety, but in a diagonally symmetric mode of operation, actually controls
both Anxiety and Impulsivity.
   the SHS (Gray, 1991a, p. 275) (Fig. 5) Fig 5 consists of a comparator located in
the hippocampus.  this compares periodically the real world of sensory input
to a predicted or expected world generated by sensory input traversing the
Papez circuit.  If the comparator detects a significant deviation from
expected events it activates a neurophysiological state of Anxiety as a
reactive mechanism.  the theory is well established in the literature and has
a broad foundation in experimental neurophysiology.
   The SHS is centered in the fornix which connects the dorsal sensory area
(hippocampus) to the ventral motor region (hypothalamus).  the SHS is also
bilaterally symmetric.  We immediately see heretofore a D-V and L-R geometry
in Gray's SHS.  The four endpoints of this "X" as it were, being the left and
right hippocampi and the left and right mammillary bodies; the septal area
being the center of the "X".  In short, the four arms of the fornix appear as
the likely neuroanatomical candidate for the diagonal connecting structure
which would underlie Gray's diagonal personality model (Fig. 4).
   A direct examination of the neurocircuitry of this system confirms that
this is the case: The SHS contains a significant decussation.  this
decussation takes place in the Papez loop, between the hippocampus and the
mammillary bodies, most of it probably in the supramammillary decussation but
some of it probably in the body of the fornix or even the septal area.
Swanson and Cowen state: "the dorsal subiculum projects through the
descending column of the fornix to the mammillary complex where its efferents
end bilaterally" and "The pre- and/or parasubicular input to the mammillary
complex terminates bilaterally in both the medial and lateral mammillary
nuclei," and finally "it is presumably through these...mammillary projections
that the 'return loop, of the so-called Papez circuit is completed" (Swanson
& Cowen, 1977, pp. 64, 71, and 82).  This is irrefutable evidence of a
decussation in the Papez loop.  Simply put, the right hippocampus projects
significantly to the left mammillary body, and vice versa for the left
hippocampus.  While this is a decussation in the forward half of the Papez
loop, in order for the loop to be diagonal, there must be a decussation in
the return half of the circuit.  Classically the return half of the Papez
loop is through the cingulate cortex.  the left and right cingulate cortex of
course is cross connected at all points by the corpus callosum.  a major
crossed return path is therefore readily available.
   Now how does this decussation in the Papez loop diagonally connect the
four major lobes of the brain?  Gray tells us that the SHS needs sensory
input on the state of the environment and motor input concerning the nature
of motor programs or plans (Gray, 1987a, pp. 298-299).  the first is input
from the entorhinal area in the dorsal sensory half of the brain, and the
second is input to the cingulate cortex in the ventral motor half of the
brain.  But the motor-sensory (Bell-Magendie) division is one of the two
Cartesian axes.  the other axis is the bilateral (L-R) symmetry of the SHS.
A prediction then, made by traversing the Papez loop diagonally is a
prediction based on the comparison of multimodal input from the diagonally
situated lobes of the brain.  It is because of this that the generated
prediction is an expression of diagonal personality interaction and as a
result, it is seen that the comparator in the L-hippocampus controls Gray's
Anxiety dimension while the comparator in the R-hippocampi controls
Impulsivity.  the mystery of Gray's long missing Impulsivity lies in the fact
that his SHS contains a decussation.
   In several places gray (1987a, pp. 333 and 335, 1988) mentions the
findings of Rieman, Raichle, Robins, Butler, Herscovitch, Fox and Perlmutter
(1986), using PET scans of human panic attack patients, as a strong piece of
evidence supporting his theory.  While rieman found higher activity in the
SHS, "unexpectedly" according to Gray, this activity is found to be much
higher in the R-hippocampus.  Now, panic attack is a high E, high N syndrome,
as are the phobias, and therefore lie on Gray's Impulsivity axis.  Rieman's
finding is seen therefore not only to confirm Gray's theory generally, as he
claims it does, it strongly confirms this major prediction of the present
theory, in particular.
   In summary then, Gray tells us that there is a comparator which compares
reality with expectation, but it turns out from the Cartesian Theory that
expectation depends upon four opinions.  The four personalities defined by
the intersection of Eysenck's E and N axes are shown by the cartesian theory
to reside in the four primary lobes defined by the intersection of the Medial
and Central fissures of the brain.  These four lobes input highly processed
multimodal information into the four extremities of the Papez-Gray fornical
system and there is a strong diagonal component of circulation in this
system.  Thus it is that the generation of expectations is composed of a
diagonal balance of opinion between the diagonally opposed lobes, or
personalities, of the brain.  Gray's diagonal system is the mediator of
personality conflict and as such, is a functional corollary to the underlying
Eysenckian structure of personality. Finally, it is seen, that it is the
Cartesian principle of structure which unifies these two heretofore
conflicting models and gives the resulting unified model the status of an
axiomatic theory, the first such theory in the history of psychology.
 

                          VI. THE 5-FACTOR THEORY

   Recently, there has been a surprising movement in personality psychometry
toward a 5-Factor model (Costa & McCrae, 1992; Costa, McCrae, & dye, 1991;
Zuckerman, Kuhlman, Thronquist, & Kiers, 1991).  this movement has left
theorists, notably Eysenck, in some consternation (Eysenck, 1992a).  In a
urprising development then, it appears that the Cartesian theory is to
provide the resolution to yet another scientific conundrum.
   The Cartesian Theory in unifying Eysenck and Gray, says that there are
three neuropsychologically based axes in the Structural Model proper
(Eysenck's P,E,N) and that there are two allied neurologically based axes of
personality conflict, relating the diagonally opposed lobes of the Structural
Model, in the E-N plane (Gray's Anxiety- AnxD and Impulsivity- ImpD).  By
simple addition then, we have 3+2=5 neurologically based dimensions
associated with the Structural Model of Personality.  Gray's neurological
discovery has taken us into the realm of diagonal personality dimensions in
Eysenckian 3-space, according to the Cartesian Theory.
   The problem is that Gray's dimensions are not exactly personality
dimensions like P, E and N.  They are personality conflict (or syndrome)
dimensions.  Since personality reactions depend not only on predisposition
(personality) but also on exposure (see Eysenck, 1947, pp. 45-51 on multiple
causation), the correlation with E and N is expected to be less than .707
(the cosine of 45 degrees), say something around .5.  It is probably this
reduced correlation that has lead personality psychologists to presume that
these factors beyond E,N,P are also orthogonal.  In fact they are not, they
are symmetrically and moderately, correlated with E,N,P.
   As Eysenck points out, Costa and McCrae (1992) show a correlation of c=-
.49 with N and o=+.43 with E, and further that he thinks a is simply "the
obverse of P" (Eysenck, 1992a).  While the correlation of c/-N and o/E are
not symmetrical they are of the right magnitude, for us to make the
identification between the 5-Factor model and the Eysenck-Gray unification
listed in Table 1.  This identification is based not only on the correlations
reported but also on a comparison of the description of these factors of o,
c, and AnxD, ImpD (see Costa & McCrae, 1992; Gray, 1970).
   Having found this origin of the 5-Factor model we explore a bit further.
Eysenckian 3-space contains not two but in fact four "diagonals" (Fig. 7).

Fig 7

This indicates immediately that Eysenck's 3-Normals plus the 4-Diagonals,
represents the general solution of the Structural Model, 3+4=7 general
factors.  The 5-Factor model is then the special case where the four
diagonals are collapsed into two fictitious diagonals which lie in the E-N
plane (Fig. 8). Fig 8  In this regard, it is of considerable interest that
Zuckerman has found that the 7-,5- and 3-Factor models are the most
significant (Zuckerman, Kuhlman, & Camac, 1988; Zuckerman et al., 1991).
Zuckerman then, has actually identified the general solution, as well as
confirmed the existence of the robust 5-Factor model.  Finally, we note that
Gray has recently tilted his two basic diagonals out of the E-N plane into
the third dimension (Fig. 9) which argues very strongly for the 7-Factor
model as the general solution.
   This development ends the controversy of 2, 3, 4, 5, 7 or 16 dimensions in
the Structural Model.  The answer is "axiomatically" three.  Three
personality dimensions plus four diagonals of conflict (personality
syndromes) make up the Structural Model (Fig. 7).  All psychometric models
must be projections or redactions of this General Solution and there are half
a dozen or more.  In principle the Cartesian Theory has explained, reconciled
and confirmed all of the existing psychometric models of personality.
   In conclusion, while the 7-Factor model is indicated as the general
solution, we don't know how robust it is, and it may be that the 5-Factor
theory is so much more robust that it will turn out to be a more useful
clinical tool.  However, for the purposes of this paper, it is the resolution
of this multifactor problem and the explanation of the Big-5 result, which
lends considerable support now, to the empirical proof of the Cartesian
Theory advanced in this paper.
 

                             VII.  Conclusion

   In the opinion of the author the first conclusion of this paper can only
be, that the long-awaited scientific discovery of the Structural Model of
Perrsonality has finally occurred.  We finally have an answer to the simple
question "Where does the Structural Model come from?".  The answer to that
question is "The Cartesian structure of the brain".  The scientific model
turns out to be the three-axis empirical result established by Hans Eysenck
and now brilliantly confirmed by Gray's experimental research.  Looking back
at a more urgent age of psychological research moreover, this scientific
discovery is seen to confirm the historical incidence of the Structural
Model.  The equivalence of the Freudian and Eysenckian models is thus
suggested in Fig. 6. Figure 6
   One cannot leave off, however, without mentioning the impact that the
discovery of the Cartesian basis of the structural model is going to have on
other fields of research and how other fields of research are in turn, going
to help confirm the Cartesian Theory,  The Cartesian basis of the BI/2P
system has already been mentioned in section IV.  In addition the author has
researched the notion that the Four Gospel Canon of the Bible is in fact the
theological identification of the Structural Model. Indeed, the Cross of
Christianity itself is quite likely the symbolic representation of the
Cartesian structure of the mind (Hammond, 1988, 1989).  The effects of this
discovery on science, religion and government can be expected to be far
reaching.
 
 

Note added in proof- As this paper goes to press, the author has discovered
that Raymond b. Cattell's 7-second order factors, as numerically reported by
Krug & Johns, mathematically and rigorously confirm, the 7-Factor General
Solution advanced in Fig. 7.  this significant development is reported in an
upcoming paper by the author; coauthored by Professor Peter F. Merenda (URI).
An interim report of this discovery is available from the author upon
request.
 

Acknowledgements- The author wishes to thank Professors Hans Eysenck, Michael
W. Eysenck, Paul D. MacLean, Jeffrey A. Gray, Chris R. Brand, Marvin
Zuckerman, Robert M. Stelmack, Raymond B. cattell, and Peter F. Merenda past
president of the New England Psychological Association, for their helpful
comments, during the recent years of a decade of research of this theory.
 
 

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