Monday, March 23, 2020

8. Levels as States: Levels as Structures (A)

Introduction


Q We now move on to the second of the key distinctions as between the major stages (i.e. levels) of development which relates to states and structures. Can you briefly explain?


PC As we have seen the distinction regarding levels of self(hood) and levels of reality relates to the first of the three key polar distinctions applying to all stages i.e. external and internal respectively.
These operate mainly within levels with respect to the physical and psychological aspects of understanding respectively. So at all stages of development we have the (internal) self in relation - to what is initially perceived as - the (external) world.

In more precise holistic mathematical terms this first set of polarities is governed by Type 1 complementary (relating to horizontal polarities that are directly opposite each other).

One of the problems however with reconciliation of opposites in relation to this first type of complementarity is that it does not distinguish properly as between two other key aspects (that apply to all stages). Thus every stage is also characterised by a general state (which is formless) and a particular manner of structuring experience (resulting in manifest phenomena).  And this relationship as between states and structures is inherently of a dynamic nature enabling flexible interchange as between the different stages.

Now the key point is that whereas states (of themselves) tend to be somewhat unstable leading to rapid fluctuation as between the various levels of development, structures by contrast tend to be rigid confining development to a particular stage.

For example this is very evident in terms of the conventional scientific approach.
Here interpretation is firmly rooted in the understanding that mainly characterises the middle band of development. Though the (conscious) waking state is implicitly required for such science, its interpretations solely relate to the structural forms compatible with the middle stages. So the very neglect here of the necessary interaction as between structures and states enables a more rigid type of understanding conforming to a very narrow band of the overall spectrum.


By contrast the experience of earliest infancy - because of the lack of developed structures - is largely characterised by the rapid fluctuation as between immature states (so that pre is directly confused with trans experience).

So a balanced relationship as between states and structures is vitally necessary.

With insufficient development of the (phenomenal) structures associated with the various levels, experience will tend to be unduly unstable and states led, rapidly fluctuating as between various stages.

On the other hand with insufficient development of the (formless) states associated with these same levels, experience will tend to become unduly rigid, consolidating within a narrow band of the overall spectrum.

As we have seen this problem is very much true of the conventional scientific worldview, which is formally based on the mere structural interpretation of the phenomenal forms associated with linear type understanding. 


Q How would you define states? I must say I find the term somewhat confusing!


PC Yes! the term can indeed be used in a number of different ways. However - as befits this holistic approach - I am using it in a universal sense. So in this context it refers to the general background spiritual disposition informing the fundamental nature of phenomenal understanding, which then unfolds as structures, corresponding to each of the main stages (i.e. levels) of development.

Of course the term states can be used in a much more specific manner relating to the variety of ways - affective, cognitive and volitional - through which everyday experience is filtered.

For example one can have various states of pleasure and pain relating to the affective aspect. Other states could be more cognitively based such as concentration and discipline and yet others corresponding more directly to the volitional aspect e.g. meaning and good will. And these states are in now way exclusive with respect to each aspect. So for example a state of joy could relate in various ways to the manner in which the affective, volitional and cognitive aspects intermingle in experience.

Also the term “states” can be used to refer to the more visible manifestations of behaviour with no direct correlation to the three modes (affective, cognitive and volitional) just mentioned.
For example one could be in a state of drunkenness which relates largely to the physiological effects of too much alcohol. However, as we shall see, the corresponding psychological changes induced can bear an interesting relationship with the holistic definition of states that we will be using in these articles! Also one’s home could be left in an untidy state which again relates more to a direct physical impression.

So once again the manner in which I use the term refers to the general spiritual disposition that characterises each of the major levels of development. This state is then associated with a basic holistic structural pattern of phenomenal organisation appropriate to the level in question.

Thus the key point that I would emphasise is the inherently dynamic nature of structures and states, which characterises experience within each level and that furthermore enables movement as between the various levels.


Q So you would not accept the usual approach in development studies where states are considered somewhat independent of the structural forms characterising the various levels?


PC No! I would see this unduly static approach as a major problem which reflects very much the structural understanding that informs the middle levels. Unfortunately even when the experience of other levels - especially higher - is recognised in such an approach, the predominant method of intellectual interpretation still remains largely rooted in the understanding of the middle levels.

So as we have seen with conventional science, formal interpretation of phenomena, under its various manifestations, is based solely on the structural understanding of the middle levels. Though clearly a characteristic conscious state i.e. waking is necessary to comprehend such science, it is not believed to influence the structures arising.

Thus though implicitly - even here - we have a dynamic interaction comprising structure and state, explicitly the state is considered neutral with respect to the structural interpretation (and thereby ignored).  Even with vision-logic, which is the highest form of middle level understanding, this divorce of structure and state is still in evidence. Put another way such vision-logic by its very nature is unable to handle the inherent dynamic interaction as between both aspects that occurs throughout development.



Q So you are saying that both states and structures are inherently in dynamic interaction throughout development and that therefore the stages of development e.g. the major levels thereby must necessarily entail an appropriate interaction as between both these aspects.



PC Precisely! The rapid fluctuation of states can indeed lead - for example - to an experience of higher levels that remains somewhat immature (due to the lack of sufficient development of corresponding structures). However, a temporary manifestation of the appropriate structure is still required to accommodate the corresponding state!

So in dynamic terms, prepersonal and transpersonal (and transpersonal and prepersonal) are always in dynamic interaction with each other. However, when development is especially immature, the trans element remains unstable and therefore cannot be sustained except for a very short period of time. So higher trans levels, mainly induced through the rapid fluctuation of states, quickly collapse to their complementary pre type (largely due to the insufficient development of appropriate structural development of the various levels)

However we can have the opposite problem when - as with conventional scientific understanding - structures become largely identified with a limited band of overall development. Here, at least with respect to conscious understanding, states now become largely robbed of their dynamic quality and remain powerless to substantially shift structural understanding through the various levels. So cognitive interpretation, as we have seen, then becomes largely identified with the structural understanding of just one band of the overall spectrum.



Q How do you view the standard classification in terms of sleep, dream and waking states?



PC I have no problems with this provided that the appropriate dynamic interaction as between the various aspects is duly recognised. Remember that in my approach, I designate 15 overall levels (recently upgraded to 18) each of which is characterised by a distinctive state! So we must recognise therefore that a unique configuration of states is required in each case to properly distinguish the levels. And when we look at these stages in detail, I will attempt to clarify the dynamic configuration in each case.


From a psychological perspective, sleep, dream and waking relate to the unconscious (sleep), the overlay of unconscious and conscious (dream), and conscious (waking) states respectively. So the state underlying any particular level relates to a distinctive manner in which the conscious and unconscious aspects of personality are related.

Indeed this leads to an important distinction that needs to made regarding - to what I refer to as - the day and night experience of states.
From one extreme, the day time experience is largely identified with the conscious (waking) and the night time experience with the corresponding unconscious (sleep) states respectively. However various degrees of overlap are possible. So for example the dream state can be associated with day time experience (such as fantasy and imagination as in daydreaming). The sleep state can also be associated with day time experience as for example with deep spiritual contemplation.  Then the dream state is also very commonly associated with night time sleep and even occasionally the waking state can also be associated with night time activity (as in the case of lucid dreams).
So in our later discussion of each level we will distinguish both the (characteristic) day and night experience of associated states.

 
Of course we must keep bearing in mind the twin manner of viewing levels as, from one perspective, relatively discrete and independent of each other, and yet from an equally valid perspective, as relatively continuous (and interdependent with all other levels). 

However my main reservation regarding the use of sleep, dream and waking terminology is that it is not sufficiently universal. Ultimately in the holistic mathematical approach, we identify the underlying structure applicable to all relationships (or - if one prefers - holons). So the holistic mathematical task now is broadened to finding an acceptable manner of also identifying the fundamental nature of all states with respect to these relationships. Thus, whereas we can readily identify the sleep, dream and waking states with human and animal beings we cannot satisfactorily extend this to all holons. For example how would we apply such states to the sub-atomic realms of matter?

So we will see later, how a more abstract - though universally applicable approach - can be devised in holistic mathematical terms that can be equally identified with both the structures and states underlying all levels. Furthermore enshrined in this approach is the particular type of complementary relationship that inherently exists as between the integration of structures and states (i.e. Type 2 complementarity).



Q Though you will deal with this in more detail later, you believe that considerable confusion exists as to the precise nature by which the experience of peak states takes place. Also you would maintain that it is equally important to deal - as well as peaks - with the valley experience of states. Can you briefly clarify this point?



PC There are two important aspects explaining the relationship between states (and structures). From the continuous (integral) perspective, all states are related to each other through complementary relationships. Thus the state relating to the highest level is (directly) complementary in bi-directional fashion with that corresponding to the lowest; the state corresponding to the second highest complementary with the second lowest and so on. Thus in terms of my own delineation of levels, H3 (nondual) is directly complementary with L3 (archaic), H2 (causal) with L2 (mythic) and H1 (subtle) with L1 (mythic).

Now this seems to leave out the middle and in a certain sense because these are the most discretely defined levels, here complementarity is considerably absent. However, because a complementary relationship ultimately exists as between the most continuous (interdependent) and most discrete (independent) of levels, with radial development a mature complementary relationship is now forged as between the middle and both higher and lower levels in a bi-directional manner.

However from another perspective - based on the discrete differentiation of stages - each level has a relatively independent identity (that distinguishes it from other levels). In general, the discrete aspect of stages increases as we move from the lower to the middle levels.  Then as we move from the middle to the higher levels, the continuous (complementary) aspect once again increases this time in a mature fashion. Finally with the radial stages we then have the mature interaction of both discrete and continuous aspects.

In earliest childhood (at the L3 level), because differentiation of structures has not yet properly unfolded, a very close - though utterly confused - relationship exists as between the lowest (L3) and highest (H3) levels.
So properly speaking, using pre and trans terminology, we have here experience that is both pre and trans (and trans and pre) though in greatly confused manner. In other words to make a distinction as between the confused relationship as between pre and trans and the more mature expression associated with authentic spiritual experience, some differentiation of structures is necessary thus enabling the corresponding differentiation of states. 

So it is not really possible for a young infant at the level of L3 to experience a genuine trans state (because of the lack of sufficient differentiation of structures) though it is certainly possible where an enhanced experience of L3 is involved i.e. when revisited from a more advanced level.

When development - in infancy - proceeds from L3 to L2, a largely confused complementary relationship also directly exists as between L2 and H2.
However because some meaningful differentiation of structures will by now have taken place, a distinction exists as between the habitual confused relationship of pre and trans and occasional moments where a purer more spiritual state may temporarily unfold. In other words it is possible therefore for a child to now have a peak experience of the higher level, though because of insufficient differentiation of structures, this state is likely to quickly collapse and become identified with the habitual more confused relationship.

However when development reaches L1, because significantly more differentiation will now have taken place, greater separation as between the confused and mature complementary relationship of pre and trans states can now be made in experience. In other words it would be quite usual for more meaningful peak experiences of H1 to arise from one whose habitual experience remains at L1. Of course once again when we allow for the enhanced experience of lower levels (where experience is habitually at the middle levels) richer peak experiences of the various higher levels can thereby arise.

Such peak experiences therefore give access on a temporary basis to the spiritual nature associated with higher levels.  


However we can distinguish yet another type of peak experience of an extremely lucid kind which is more likely to arise with children who have a special talent for the mystical. Such an experience - may and often does - occur at a very young age and can have a subsequent significant transforming effect on personality. Thus, though the initial experience cannot be sustained (because of lack of sufficient development of the appropriate transpersonal structures), when the return to the habitual (confused) prepersonal stages takes place, the child in varying ways realises that these offer a somewhat inadequate interpretation of what has taken place. So the authentic desire to truly realise what has been already experienced (in a temporary manner) can then act as a considerable catalyst in terms of the rapid further development necessary to enable the more permanent attainment of such experience. 


However, as well as peak we can also have valley experiences. The first type - relating to earliest childhood - coincides with corresponding peak experience. Because in dynamic terms, such early experience is best characterised as the confused entanglement of higher and lower stages of the spectrum (that have not yet been properly differentiated from each other) we can equally view it as a confused peaking of the higher from the lower or alternatively a confused valley of the lower from the higher stage.

Then when substantial development of the higher spiritual stages takes place, we can still have occasional examples of the confused valley experience of lower stages e.g. in times of stress. In other words prepersonal and transpersonal always remain in dynamic relationship with each other with varying degrees of maturity and confusion in evidence. So therefore the transition to the mature relationship i.e. where higher and lower stages – and lower and higher – become properly integrated with each other, is never totally attained.

As the advanced spiritual experience of these stages becomes more stabilised, valley experiences - even when they occur - tend to be less prolonged with the “higher” equilibrium, after any temporary upset, becoming quickly restored.

However the most interesting type of valley experience (of an especially lucid kind) can again occur as with the peak variety with those who have a special gift for the mystical. However in this case even though the person may have already attained a substantial degree of authentic spiritual progress, such a valley experience in the form of a strong temptation e.g. for sex, money or power can act as a strong negative influence on what has already been attained. In this context, various charismatic leaders of religious cults who - though undoubtedly blessed with many gifts - have become greatly corrupted through the process of achieving control over others.


Q So we will now go through the various levels in some detail showing how relationship as between structures and states. Can you comment again briefly in this context on the nature of the radial approach?


PC In a certain sense both structures and states have a well-defined discrete meaning whereby associated with each major stage, as linearly defined, is both a distinct structure and state respectively.

However, these two aspects operate equally in a complementary continuous fashion.
So for example the state of a lower level (say L1) is complementary in two-way manner with the state of the corresponding higher level. In other words, pre and trans bear a complementary relationship with each other in both a confused (undifferentiated) and mature (integral) fashion. In early childhood, this relationship is mainly of a confused nature though to a limited extent a temporary mature element may occasionally manifest itself. Then in reverse fashion from the perspective of someone advancing in authentic experience of the higher spiritual stages, the relationship is mainly of an integral kind though again temporary valley moments of a confused nature may intrude.


What is often misunderstood however is that the structures of the various levels also bear an important complementary relationship with each other. So undifferentiated structures of a lower level, in like manner bear a complementary two-way relationship with structures of the corresponding higher level (again as the confused relationship between pre and trans). In like manner the differentiated structures of both higher and lower levels bear a complementary relationship (in a mature integral fashion). So once again someone predominantly operating from the mature development of a higher level can integrate its structures (in two-way manner) with the corresponding structures of the complementary lower level.

In general terms, the complementarity as between various states and structures considered in a relatively independent manner is of the Type 1 kind.

However the complementarity of states with structures (and structures with states) is of a more complex Type 2 nature and we will look at this more closely as we proceed.

It might help to think - before integration - as states being of an extremely fluid nature moving easily in a vertical manner as between all (still undeveloped) stages.

Appropriate structural development within a given stage creates the opposite tendency to confine development horizontally to the experience of the given stage. So in earliest development - when structures are still largely undifferentiated - the vertical fluidity of states tends to win out. However as structures are gradually consolidated through the lower and middle stages, the fluidity of states is greatly reduced. So as we have seen, the intellectual development of the middle levels (which defines conventional notions of science) is formally without any reference to states.

However with higher level development, leading to the integral – as opposed to differentiated - development of structures, there is a much greater appreciation of the manner in which states and structures interact in bi-directional fashion with each other.  

So, too much emphasis on the (differentiated) structures of a given level tends to consolidate development rigidly with the experience of that level. In other words both top-down and bottom-up integration with other levels is greatly impeded.

Too much emphasis on the other hand on the (undifferentiated) states of all levels renders experience too fluid, with rapid interaction taking place as between the various levels but without sufficient consolidation of the structures of a given level taking place. So as always, proper balance is required.


Lower Levels



Q Can we say anything about the state before life begins?


PC This is a fascinating question. I would see my reflections here as broadly similar to that of the Flemish mystic Ruysbroeck, with the eternity before (finite) life begins as a state of potential being, whereby the image or archetype of a person eternally exists - as it were - in the mind of God (i.e. as pure Spirit). However for life to become present in finite creation, the phenomenal veils of structures of form must unfold. This likewise serves to activate the various finite states through which all life passes.

Then when these are fully actualised (requiring death) only then can the eternal state of pure being be realised. So we have the mere potential for being (before finite life begins), as an eternal state of undifferentiated nothingness, and fully actualised being (after finite life) as an eternal state of fulfilment respectively. And from the perspective of eternity - where only the present moment exists - both of these co-exist as God (where pure being is continually created from pure nothingness).
From this perspective, finite creation remains necessary as the very necessary means through which human - and indeed all created - beings can continually realise their eternal potential (as inseparable from God).

Therefore though we can henceforth validly speak of finite states and structures (which unfold through the process of human development) we must remember that these are always anchored in eternity.  


L3 (Lower 3) - Archaic



Q So let us deal now with the first of the main stages (i.e. levels) and look into the nature of both states and structures involved!


PC At the commencement of life, form is indistinguishable from emptiness. Alternatively structures, in the identification of phenomenal form, are indistinguishable from states (as the empty conditions underlying such identification).
However, when the very first primitive differentiation of structures takes place, which starts in the womb, some distinction - though still very minute - necessarily takes place.

In terms of states we now have, from the circular continuous perspective, the confused relationship between all levels. So conscious cannot be properly distinguished from unconscious aspects of mind. Equally sleep and waking states cannot be properly distinguished. 

However from the linear discrete perspective, we now have the preliminary rooting of experience in a recognisable first stage. So we have the beginning of conscious life for the infant which can be identified with the waking state.

So in correct radial terms, we have the interaction of both the continuous interpretation of stages where all states (sleep, dream and waking) are greatly confused with each other and the discrete interpretation where one state (waking) now undergoes starting differentiation. However for some time the confused continuous interpretation predominates. Thus though an outside observer (e.g. parent) may well be able to recognise when an infant is awake as opposed to sleeping, the infant will not be clearly capable of making the same distinction.


As regards structures, we likewise have twin interpretations. Thus in circular continuous terms, the structures of all stages are still strongly embedded with each other (in a largely undifferentiated state).
In holistic mathematical terms, I refer to this as the confused complementarity of the three fundamental polarities (diagonal, vertical and horizontal).

However in linear discrete terms, again we again have the preliminary rooting of experience in a discernible first stage (culminating in the differentiation of the bodyself).
Again in holistic mathematical terms this is characterised by the separation of the diagonal polarities (where form - in the basic identification of the bodyself - is now distinguished from the wider environment).

So we can see perhaps here how the states and structures of this first level are related. In integral terms, all states are still related to each other in a highly confused manner so that the infant cannot properly distinguish sleep, dream or waking states; likewise all structures are related to each other in a similar fashion with horizontal, vertical and diagonal polarities still embedded with each other.

However with successful differentiation, we now have the emergence of a relatively discrete first stage characterised by a conscious waking state. Equally this first state is characterised by a new discernible structure (in the differentiation of the bodyself). 


Q Yes! I can see the importance - from the radial perspective - of relating both the structures and states of each level (also showing the relationship with all levels).
However, though both states and structures are initially very closely related, when they undergo some differentiation, their capacity to act in a relatively independent manner from each other likewise increases. Would you agree?


PC Certainly! And it would be generally true here that whereas states in natural terms tend to be more flexible switching rapidly as between the various levels, structures - as they undergo greater differentiation - tend to be more rigid (confining development to a limited range of stages).

However it is important to remember that they must always to a degree be related to each other. Therefore the peak experience for example of the state of a higher level, also necessarily requires temporary experience of the corresponding structure of that level. In other words in dynamic experiential terms, a stage always entails the interaction between appropriate states and structures (which are necessarily related - to a degree - with all other stages).

Thus the popular characterisation of peak experiences purely in terms of states, I would see as gravely mistaken from a dynamic perspective.  However it is equally true, that with subsequent significant development with respect to the structures of the higher level, that experience can now be better consolidated with that stage (with the corresponding state therefore attaining more permanency).

Also whereas the initial peak experience of a higher stage may customarily be seen to be states led, it can likewise on occasion, be structures led. For example an early lucid insight into new scientific, artistic or religious ideas may in fact entail the temporary structural understanding of a higher level.


Q Can you briefly characterise the dynamic nature of pre/trans experience at L1 (with respect to both states and structures)?



PC The very use of the terms pre and trans is itself problematic as - in linear terms pre necessarily precedes trans - whereas in correct experiential terms this is not necessarily the case.
So it would perhaps be better in our discussion here to substitute the terms immanent and transcendent for pre and trans respectively.


At the beginning of infant development - because so little differentiation has yet taken place – the immanent and transcendent poles still remain strongly enmeshed with each other (in a confused undifferentiated manner). Thus from one perspective, the baby infant acts out of a primitive sense of transcendent omnipotence while from an equally valid alternative perspective directly confuses such omnipotence with fleeting material phenomena (in a primitive sense of immanence).

Once again, because the linear differentiation of stage structures (and states) is still so limited, a discrete distinction as between lower and higher (and higher and lower) stages has little meaning.


So from the circular integral perspective, transcendent and immanent (and immanent and transcendent) directions of development remain to a strong degree directly entangled with each other. Using conventional language, pre and trans (and trans and pre) are still directly confused with each other.

This confusion equally pertains to both states and structures. So, the baby infant operates largely from a primitive sleep state (which is not yet properly distinguished from waking).
In terms of structures, the three fundamental polarities of experience remain greatly entangled with each other. So (phenomenal) form cannot be properly distinguished from (spiritual) emptiness; the whole - in any context - cannot be distinguished from part; finally internal cannot be distinguished from external.

So at the commencement of human life, the first stage cannot be meaningfully distinguished from any other stage. However as preliminary differentiation gets underway (culminating in a distinct bodyself), L3 does indeed acquire to a degree a linear discrete meaning as a separate stage (i.e. the first major level).

Again this entails development with respect to both states and structures. So the waking state now becomes better distinguished from sleep; likewise in terms of structure, the diagonal polarities of form and emptiness undergo initial separation. This entails for example that in the context of the body some meaningful separation of both transcendent and immanent aspects of experience can take place. In other words the infant no longer directly confuses transcendent Spirit (emptiness) with the material body.


Though the confused complementary relation as between all stages is thereby lessened to a degree through this successful differentiation, it still remains to a considerable extent.

The relationship as between transcendent and immanent (and immanent and transcendent) now becomes more refined. Again at L3, the integral relationship between both is still largely of a confused undifferentiated nature.

However because some meaningful separation has now taken place, this opens up the possibility of occasional peak experiences as between both aspects (where a mature relationships can temporarily exist). However, once again this peak relationship, when it occurs, will apply to both states and structures.
So the ability to sustain a temporary peak experience of a higher state implicitly requires the corresponding higher structure (and vice versa).


Also it is important to bear in mind that these peak experiences can operate in two directions. So we can have the bottom-up peak experience (of a higher stage from a complementary lower stage). However equally we can have the top-down peak experience of the lower from the temporarily experienced higher stage.


It is not really likely however that a baby infant could have meaningful peak experiences of H3, from the default perspective of successful differentiation of L3, as the degree of differentiation achieved would still be very limited.

However as enhanced experience of L3 would be possible from the perspective of successful completion of more advanced stages, it would indeed be possible to have a temporary peak experience of H3 - more correctly the mature two-way integral relationship of L3 and H3 - from the enhanced appreciation of L3.



Q. So you are saying that once the successful differentiation of major stages gets underway, the integral relationship between pre and trans (and trans and pre) becomes considerably subtler. So whereas initially the two-way relationship between both aspects is of a largely confused nature, the possibility of occasional peak experiences (of a more mature kind) increases as the level of successful differentiation increases. In this way we can see how the successful differentiation of stage structures is ultimately necessary to likewise obtain the pure mature integration of all stages (where the immanent and transcendent aspects of Spirit can be united in a pure fashion)!



PC Yes! However correctly balancing both the differentiated and integral aspects of development requires a much more dynamic and refined approach than generally employed. This is why I consider the radial approach so important in this context as it is deliberately designed to preserve the distinctive aspects of both the discrete (linear) and continuous (circular) approaches without reducing one to another.

Thus the correct way to appreciate the relationship as between pre and trans (and trans and pre) is to recognise that both discrete (linear) and continuous (circular) elements are involved.   
This entails a two-way dynamic in experience containing elements that are both confused (i.e. undifferentiated) and mature (i.e. properly integrated) with each other.

For someone customarily experiencing reality from the lower levels (as discretely understood) the experiential two-way dynamic as between pre and trans will largely comprise confused elements though temporary peak moments of a more mature kind may indeed arise. However for one whose customary experience is of the more advanced spiritual levels, the experiential two-way dynamic will largely be of a more refined integral kind, though temporary valley moments of a primitive kind may also arise.


Q Finally, how would you distinguish the day and night experience of states and structures at this first level?


PC There would be very little distinction at the first stage. Once again the infant is not able to clearly distinguish waking from sleep from dream activity. In fact early infant experience tends to keep switching regularly as between sleep and waking states.

However insofar as a distinction can be made there would be more evidence of genuine conscious activity during the waking state. Thus the successful differentiation of the bodyself (as structure) would relate more to the conscious aspect of this state.



L2 (Lower 2) - Magical



Q So can you outline now the nature of the states and structures that apply to the second of the lower stages?



PC Though of course some waking activity is evident at L3, relating to preliminary conscious development of the infant, the first of the lower stages is still of a largely (undeveloped) unconscious nature where a (confused) sleep state dominates.

However coinciding with the continued differentiation of structures at L2, culminating in the differentiation of the emotional self, likewise the underlying state changes with greater interaction as between conscious and unconscious taking place.

This leads to the emergence of an involuntary dream state which continually pervades the waking life of the infant. It thereby accounts for the characteristic magical quality of the stage, where overall holistic meaning is still largely confused with the specific phenomena associated with events.
So the infant still operates out of a primitive form of animism with objects, as it were, possessing mental characteristics that behave in tune with the infant’s wishes.

The dream state itself once again coincides with the corresponding (fundamental) structural pattern of the stage whereby the vertical polarities (i.e. of whole and part) are not yet sufficiently differentiated from each other. Thus, especially at the beginning of the stage, considerable confusion as between whole and part is still in evidence.
However, all going well as the stage proceeds culminating in the differentiation of the emotional self, considerable - though not complete - progress is made with respect to the differentiation of these two poles.  In other words as the degree of conscious waking activity increases in the life of the infant, there is a corresponding reduction in the (confused) dream state associated with magical explanations of reality.


Now there is an important vertical complementary as between the L2 (magical) and H2 (causal) stages both in relation to underlying states and structures.

As we have seen L2 is characterised by an (involuntary) dream state where objects are seen to possess magical qualities.
H2 is likewise characterises by an (involuntary) dream state. However in contrast to L2 this is of a mature - rather than confused - nature as the pure projected expression of the unconscious, where object phenomena now are revealed as transparent archetypes of Spirit.

Likewise in structural terms L2 is characterised by the largely confused relationship of the vertical polarities of whole and part. In complementary fashion, H2 is characterised by the truly integrated nature of these same polarities where the whole is seen to be spiritually contained in the part.

Also because some meaningful differentiation of structures will already have taken place for the infant at L2, this opens up the possibility of occasional peak glimpses, as it were, of the more mature experience - with respect to both states and structures - of H2. However these will tend to be very short lived quickly collapsing to the customary confused experience of L2.

However as the process of integration in experience continually entails the revisiting (and reinterpretation) of earlier stages, it certainly is possible that a lucid experience of H2 could be obtained from the enhanced experience of L2 (where it is revisited from the customary default experience of a more advanced stage).


Q You believe that L2 both the state and structure of L2 also have significant implications for interpretation for the interpretation of physical reality (at its deepest sub-atomic levels). Can you briefly enlarge on this important point?


PC I have mentioned before that conventional science - which is well-suited for the interpretation of everyday macro reality - is based on the clear separation of state and structure that is so characteristic of the middle levels. In other words, the truth of such science is formally based on a phenomenal structural interpretation of reality (which is perceived as neutral with respect to the conscious waking state necessary for its understanding).

However at the lower - and higher - levels of reality there is a necessary dynamic interaction as between the states and structures of these stages.

And as the structural nature of sub-atomic reality corresponds to these lower levels, suitably interpreted from the complementary higher stages, both state and structure aspects are necessarily involved.

So the inherent dynamic nature of quantum reality is due fundamentally to the fact that specific phenomena lose their independent discrete identity and can only be meaningfully interpreted in the context of an overall holistic pattern (representing an underlying state). This for example is especially true of virtual particles, which as phenomenal structures are exceedingly short-lived and therefore highly expressive of the underlying empty (sleep) state from which they originate.

It is also very true of string reality where again the strings (as basic phenomenal structures of form) are understood in some way to contain the dimensions of space and time (though conventionally these are understood as separate). In other words what this really implies is that we cannot meaningfully separate (phenomenal) structures (of form) from their underlying (empty) states at these levels.

It is important to bear in mind the complementary nature of the stages of development. We can say in a certain sense, that within physical nature at its most dynamic sub-atomic levels (corresponding to L2), structures (as identifiable parts) are necessarily confused with states (as an overall dimensional context for interpretation). However the understanding associated with the corresponding higher level is required for suitable interpretation. Thus to properly understand the nature of sub-atomic reality in an intuitively satisfying manner (where structures correspond with states) requires scientific appreciation that is based on H2 (causal) level understanding.


Q I believe that you have taken this even further directly into mathematical understanding in an attempted new interpretation of prime numbers. Though this is necessarily a big area can you give us a flavour here of your current thinking?



PC Yes! In many ways a comprehensive understanding of prime numbers has proven well nigh intractable using the conventional type analytic appreciation of the middle levels.

Many years ago, it struck me when attempting to develop my ideas on Holistic Mathematics, that there is a deep - though not properly recognised - relationship as between the nature of prime numbers and the meaning of primitive instincts (in psychological terms).

The very nature of such instincts is that conscious and unconscious aspects of behaviour are necessarily confused with each other.  

Thus the important point here for Mathematics is that the true appreciation of the nature of prime numbers necessarily goes beyond conventional means of understanding based formally on mere rational type interpretation.  


Let me explain this point further. In conventional terms, prime numbers are considered in discrete terms as the basic building blocks of the number system i.e. the number structures from which all other structures are derived.
So here we have prime numbers viewed as independent parts.


However there is another equally important aspect to prime numbers, in their distribution, where they are intimately dependent on the natural number system.

We might meaningfully refer to this holistic feature as the corresponding state aspect of prime numbers.

So there is a linear aspect to prime numbers (as the basic building blocks of the natural number system) and a circular aspect (where holistically they are intimately dependent on the natural number system).

Therefore we need two distinctive logical systems used in conjunction with each other to properly appreciate the nature of prime numbers.

Linear (either/or) logic is the basis of Conventional Mathematics i.e. analytic type appreciation.

Circular (both/and) logic is the basis of Holistic Mathematics i.e. integral type appreciation as for example in deriving the overall structures of development.

Then the mature combination of both linear and circular logic comprises - what I refer to as - Radial Mathematics, which is necessary for both a quantitative and qualitative appreciation of prime numbers.


In terms of my delineation of levels, each of those (marked 2) are especially relevant for the understanding of prime numbers.  The complementary relationship of L2 and H2 is especially appropriate for the appreciation of the holistic nature of prime number behaviour in complex terms (as in the dynamic appreciation of the nature of primitive instincts). This enables one to unravel the qualitative (philosophical) nature of prime numbers.

The middle level M2 (which I also refer as L0,H0) is directly relevant to analytic type appreciation (as the independent building blocks of the natural number system).

Finally, R2 is directly relevant for radial type appreciation of prime numbers (where both independent and interdependent aspects are preserved in quantitative and qualitative terms). In the context of the Riemann Zeta Function (especially important in terms of prime number behaviour), I have already provided a preliminary account of my proposed radial approach to prime numbers in the previous Chapter!


One important clue as to the need for the radial approach is the mysterious way in which complex numbers have become so important in the attempt to unravel the quantitative nature of the primes.

And as Roger Penrose keeps repeating in his various books, the behaviour of complex numbers is truly magical! This is exactly what one would expect in terms of their holistic philosophical appreciation (as the “higher” H2 interpretation of “lower” L2 behaviour).

A complex number of course has two parts i.e. a real aspect (corresponding directly to conscious interpretation) and an imaginary aspect (corresponding indirectly to unconscious interpretation). However in a mathematical approach that is qualitatively real and thereby based formally on mere rational appreciation, the imaginary aspect can only be incorporated in an indirect reduced fashion. So, the philosophical qualitative significance of imaginary numbers (as pertaining to an alternative circular logical system) cannot be addressed within present mathematical appreciation.

Put another way, at best though complex mathematical techniques may indeed in time be successful in unravelling many of the quantitative mysteries of primes, they will of themselves never be able to throw light on their true philosophical appreciation.

So once again conventional mathematics pursues mere quantitative interpretation of results that remains largely divorced from true qualitative appreciation.

And in the end this is unbalanced and doomed to substantial failure.
So not only must complex numbers be employed for greater appreciation of the quantitative nature of the number system, but in qualitative terms a complex means of interpretation must also be employed. In other words a radial approach is required that combines both analytic (real) and holistic (imaginary) type appreciation.
   
So my basic point is clear. A fundamental revolution in approach is needed in Mathematics so as to preserve both the quantitative and qualitative aspects of understanding (in what I refer to as Radial Mathematics). Indeed this is necessary even in the pursuit of better quantitative results, for the very intuitions needed to guide creative mathematical work implicitly depend on qualitative type appreciation.

Thus, creative new means of tackling mathematical problems often dry up because of lack of corresponding qualitative type understanding. (I believe this is largely true with respect to attempts to solve the Riemann Hypothesis!)
However the main benefit of a new approach is that it would vastly enlarge the overall scope of mathematical understanding in ways that currently can scarcely be imagined. 


Q. So putting it another way you are saying that a comprehensive appreciation of prime numbers – and indeed ultimately all mathematical relationships - requires the understanding of more advanced levels of the spectrum where a dynamic interaction as between both states (in the underlying intuitive appreciation) and structures (in a more complex type of logical appreciation) are necessarily involved! And most importantly with such understanding, both the reason and corresponding intuition required are complementary. So without the appropriate intuition (as state) you cannot really appreciate the complex reason involved (as structure).
And because conventional mathematics formally ignores this relationship between state and structure it remains confined to the understanding of a very narrow range of middle level stages (where the intuition implicitly available can only support just the “real” type of reason i.e. linear!) 



PC Yes, that puts it very well indeed! We could add that ultimately in fact three types of complementarity are involved (horizontally within levels, vertically between levels, and diagonally simultaneously within and between levels). However this should suffice for the moment.


Q. It just struck me from what you say that the physical nature of reality (at deeper sub-atomic levels) is inseparable from true appreciation of prime numbers. So this again is a good practical reason why we need a more comprehensive appreciation of the nature of prime numbers!
 

PC In fairness e.g. in relation to current researches on the Riemann Hypothesis this is already recognised to a degree (though without adequate philosophical appreciation of why this should necessarily be the case)! However I can see little or no appreciation of how prime numbers are vitally relevant in terms also of psychological behaviour.
And of course once again from a holistic mathematical perspective, the physical and psychological aspects of reality are necessarily complementary (in horizontal, vertical and diagonal terms).


Q. Continuing this theme, we hear of the relationship between strings as a kind of cosmic musical symphony and also phrases such as “the music of the primes”. Can you give some indication as to why this musical analogy is considered so apt in these two cases?


PC Firstly this tends to support the view that the underlying structure of both prime numbers and physical strings is similar.


When one reflects on it music is made up of discrete notes which also form a continuum in relation to each other. In musical terms any individual note in isolation is somewhat meaningless. So it is the precise relationship of notes and chords to each other that largely determines the quality of the musical experience.

So we have an analytic component (in the independent “parts” as separate notes) and a holistic component (in the “whole” relationship of the notes to each other).

As we have seen it is quite similar with prime numbers where from one perspective we have separate numbers as “parts” which comprise the building blocks of the natural number system and also a “whole” component (in the distributional relationship of these primes with respect to the natural number system).

So in a musical arrangement, the meaning of each note does not solely reside in its own separate identity (but rather its relationship to the overall piece).

Likewise the meaning of the overall piece is not something that can be holistically separated from the contribution of each individual note. So in this way the parts are in the whole and the whole in the various parts.


Properly seen it is similar with prime numbers where the primes (as parts) are contained in the natural number system (as whole). However equally the whole (again as natural number system) is in a sense contained in each prime number (as part) in the manner in which the primes are distributed.


Putting in another way prime numbers can be viewed as quantities (implicitly raised to the power of 1) or dimensional qualities (where 1 is raised to a prime number power). However these two ways of viewing primes, entail alternative logical systems that are linear and circular with relationship to each other. This implies a complex system (entailing both real and imaginary numbers)

It is quite similar in relation to the physical reality of strings. Here each string can be looked as a kind of separate object quantity. However equally because of the strong interdependence between strings they likewise holistically comprise the dimensional world in which they exist. And once again these two ways of viewing strings entail alternative logical systems that are linear and circular with respect to each other.


The great problem however is that the metaparadigm that informs both conventional scientific and mathematical understanding is based merely on linear type logic.

Thus though complex numbers as quantities can indeed be admitted in Mathematics and Physics, it necessarily occurs in a reduced manner (where their qualitative nature is not properly recognised). So what is urgently required is a complex logical metaparadigm in - what again I call - a radial approach explicitly entailing both real (conscious) and imaginary (unconscious) modes of understanding.

Thus once again Radial Mathematics comprises the mature sophisticated interplay of both (conventional) Analytic and Holistic Mathematics respectively yielding an interpretation that is both quantitatively and qualitatively satisfactory. Therefore in relation to any hypothesis, not alone is the rational demonstration of a satisfactory proof required (quantitatively) but equally an intuitively satisfying philosophical appreciation of why the result is true (in qualitative terms).  

I would go much further. Many important problems in both Mathematics and Physics will not be properly resolved, even from the conventional quantitative perspective, until a more comprehensive radial type approach is adopted.


So coming back to “Music of the Primes” which was the evocative title of a recent book by Marcus de Sautoy, the implications of the truth of the Riemann Hypothesis would imply a wonderfully coherent manner with respect to the distribution of prime numbers. Indeed in a certain important sense it would imply that in the overall orchestra of the number system, which is without finite limit, not a single note is - or even can be - out of place.
Using our earlier terminology this would entail that a perfect balance is maintained in the natural number system as between prime numbers (as individual structures) and prime numbers as a state (in the collective distribution of the primes).



Q Finally, at this stage can you briefly sum up the nature of both day time and night time experience of these structures and states?


We now get a greater separation with respect to both day time and night time experience.  In day time terms the waking state obtains much greater prominence which is turn corresponds to the continued differentiation of conscious structures.

In night time terms there is a significant return to the (confused) sleep state, which however in many ways offers valuable unconscious support for the daytime activity taking place. In other words through sleep, a greater balance between conscious and unconscious activity (though still at a largely undeveloped stage) can take place.



L1 (Lower 1) – Mythic



Q. Again can we start with a description of the basic nature of the states and structures associated with this level?


PC As the lower levels unfold a child progressively adopts the waking state (during daytime activity).  This is likewise associated in structural terms with the continuing differentiation of linear-based conscious structures.

However a degree of confusion as between conscious and unconscious is likely to persist. This results in the characteristic mythic type nature of the stage.

This could be described - from the perspective of states - as a situation whereby the dream (though now operating under the greater control of conscious activity) is still to an extent confused with the waking state.  In terms of the differentiation of structures, though considerable success with regards to the separation of both diagonal and vertical polarities will by now have taken place, the horizontal polarities (internal and external) remain embedded to a considerable extent with each other.

This in turn entails that the child still confuses the subjective (e.g. in the acceptance of moral responsibility for decisions) with objective symbols.


Such mythic confusion is extremely common in religious cultures generally where excessive attention is paid to the symbols or archetypes through which the spiritual meaning of a tradition is conveyed.  For example this frequently leads to an over rigid interpretation of its community of believers as those in conformity with the (externally) defined beliefs and rituals used for its expression.

Indeed the great religious figures of history frequently find themselves in conflict with such myths as they strive to restore the deeper authentic spiritual experience inherent in the tradition. 


Q Are you implying that individuals and indeed cultures never really outgrow the mythic stage?


PC I would say that even for those considerably advanced in spiritual experience i.e. where development is substantially of the “higher” stages, that mythic elements are likely to remain. This is especially true of those deeply rooted in a particular tradition. For example coming from Ireland, not surprisingly, I grew up as a member of a strongly monolithic religious community i.e. Roman Catholic, where considerable societal pressure existed to rigidly conform to its teachings and practices.

Though it struck me – even at an early age - that the great mysteries of this religion were being conveyed in an unduly literal (i.e. mythic) fashion, meaningful discussion on such issues at the time would have been considered taboo. These doctrinal mysteries include the Trinity (three persons in one God), the Incarnation (that God took a human form on Earth as the man called Christ), the Resurrection (that Christ rose from the dead), Transubstantiation (that at the moment of consecration in the Mass, that the bread and wine offered by the priest are changed into the body and blood of Christ), The Immaculate Conception (that Mary the mother of God was conceived without original sin), and the Assumption (that on her death her body and soul were “assumed” directly into Heaven).


Now of course enshrined in these doctrines are great spiritual truths. However at certain stages of development, the pursuit of more authentic spiritual meaning may well require divesting them of some of their mythical clothing.

However the related point I am making is that even historically with the great mystics, because of the cultural pressure to conform literally to the tradition, that vestiges of mythical thinking (sometimes considerable) can be found in their teachings.


Q However from your perspective this should in no way be considered surprising?


PC No indeed! My key point is that there a complementary relationship necessarily exists as between the “lower” and “higher” stages of development. Because L1 (mythic) lies very close to the middle levels (where full specialised differentiation of linear structures takes place) it is here that genuine peak experiences of the mature complementary level of H1 (subtle) are most likely.

Thus in mythic cultures - where some mastery of the middle levels is in evidence - genuine authentic transpersonal experience is certainly possible.

Indeed paradoxically it might even be possible to better sustain authentic transpersonal experience here than in the more rationally developed cultures. This is due to the fact that as specialised linear development unfolds (with the middle levels) it tends to reduce the complementary links that exist between “lower” and “higher” levels. So in extremes this may significantly cut off access to the experience (especially during day time activity) of these levels.

Of course the reverse is also true. So someone whose characteristic experience is of the mature spiritual kind (associated with H1) is likely to have associated with this, frequent valley moments of mythic type understanding. And as we have seen this is especially likely in the context of religious experience. 


Q So in terms of states to summarise, you associate L1 with a confused dream state (i.e. where unconscious holistic elements of understanding are still not properly differentiated from the analytic conscious). You then associate the complementary level of H1 with a pure dream state (where the holistic meaning conveyed through the Spirit is not directly associated with the phenomena of form through which it is conveyed). However in the very dynamics of experience it is very likely that both of these will tend to co-exist. So for someone (or indeed a culture) whose characteristic experience is of L1, temporary peak moments of H1 are very likely (especially in the context of religious experience). Likewise for someone whose characteristic experience is of H1, temporary valley moments of L1 are again very likely (especially in a religious context).



PC Yes! that is a satisfactory summary. However the two-way dynamic relationship also exists as between structures. So for example it is certainly possible for someone at L1 to get a genuine insight into the structural forms (e.g. in art or in science) associated with H1. Indeed we have many examples of such precocious ability (especially where true genius is involved).

So in summary with regard to structures! At L1 (mythic) the external polarity of experience has still not been properly differentiated from the internal. However at H1, not alone have the two poles been differentiated, but now likewise maturely integrated (in spiritual terms). So when a person (who has traversed H1) sees no ultimate distinction in experience as between what is external (physical) and internal (psychological) it is because these two poles have by now been substantially spiritually integrated in the personality.


Q Let us look briefly at the relationship between states and structures now from the physical perspective. And you would associate this level strongly with quantum reality!


PC Just as - from a psychological perspective - the conscious waking state gains strength as we move through the lower levels, likewise from a physical perspective  phenomena of form gradually assume an identity that can in various ways be observed.

So whereas the world  of strings - which we associated with L2 - would lie below the level of clearly identifiable phenomena, at the quantum reality of L1, a relatively discrete identity can now be associated with particles (though still operating in a highly interactive manner).

Thus there is a state and structure aspect associated with the physical - as well as the psychological - aspect of reality.

Thus in state terms we could refer to quantum reality likewise as a confused dream state i.e. where the holistic nature of particle interaction cannot be clearly distinguished from the discrete particles identified.

Thus, for example though the discrete nature of matter at the quantum level is identified through specific particles, they also have a holistic nature as waves. And as the single slit experiment for photons of light demonstrates, through these two aspects, a mysterious communication takes place as between particles.

It is also been proven that - with respect to sub-atomic particles - that communication can take place even a long distance. So even though from the discrete perspective observed particles may appear to be independent, their overall behaviour reveals a deeper - though hidden - interdependence.

In much the same manner, mythic symbols though associated with distinct object phenomena, exercise an overall holistic effect.


The external and internal polarities of experience equally apply to sub-atomic particles in the recognition that every particle has a corresponding anti-particle.
So in dynamic terms a continual interaction takes place in the depths of sub-atomic processes as between these two opposites leading to the generation of energy.

However for a particle to be discretely identified (as external) it must be clearly separated from its anti-particle correspondent.

Thus once again we have an overall state governing particle interaction at quantum levels (where holistic behaviour cannot be clearly separated from the identification of specific particles). So we have the correspondent here of a confused dream state with respect to reality.
Also we have a structural component in that both external and internal polarities are still enmeshed to a degree with each other in the manner that particle and corresponding anti-particles interact.

Of course the proper intuitive interpretation of quantum processes then requires the understanding associated with the complementary higher stage. So once again the cognitive understanding of H1 (subtle) is necessary to properly unravel the dynamic interactions associated with L1 (mythic) in physical - as well as psychological - terms.


Q Finally can you briefly distinguish the day time and night time activity of L1?


PC With daytime activity, the waking element of experience gains strength giving rise to the further differentiation of conscious experience. However a confused dream aspect (i.e. waking dream state) is also involved leading to the mythic confusion of this level.

In structural terms the stage is associated with the gradual process of clearly separating external and internal polarities (though it is not completed at this stage).

With night time activity the (confused) sleep state still dominates, which is also associated with significant dream experience. However the possibility of a waking element - associated with lucid dream activity - would be largely absent.    

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