Spectrum of Development

In the context of radial development, it can be perhaps fruitful to distinguish as between three mystical types. The active type, is by far the most common. Though considerable contemplative development at the "higher" levels will necessarily take place, it never removes a strong grounding in the world of dualistic phenomena. Thus for these types contemplation tends to serve the purpose of bringing a greater sense of integration to everyday responsibilities. Thus following the opening up of new contemplative levels in development, backward integration tends to readily take place, with spiritual capacities combined broadly with one's many activities. It is highly unlikely in such cases that the most refined contemplative states e.g. at the causal level can ever thereby undergo sustained development (because of this natural affinity with duality). So therefore though such a person may be superbly gifted in many ways, enabling much fruitful work to be carried out wit...

In the binary approach to development, equal emphasis is given to the discrete aspect of the unfolding of new stages of development and the continuous aspect, whereby one - because all stages are necessarily related in some respect to each other - thereby enjoys access to all stages. And whereas the discrete relates directly to the differentiated aspect of stage development, the continuous relates to the integral aspect. So for example, though from a discrete perspective, the radial stages would be the last to properly unfold in development, there is a certain valid sense in which everyone already has access to these stages. The radial stages in effect represent the interpenetration of all stages with respect to their specialised differentiation and integration respectively. Because by definition, in dynamic terms all stage development represents a certain configuration with respect to differentiation and integration, one thereby already enjoys a degree of access to the radial ...

I am very conscious in writing this account of development that no one template can adequately account for the distinctive features attributable in any individual case. So my own account not only represents the product of a distinctive personality type (5 with a strong 4 wing in Enneagram terms) but just one example of such a type with all the personal idiosyncrasies thereby associated. However it does seem to me especially suited for the purpose that I have in mind, which is to portray accurately an authentic modern outline of one person's journey through the various stages of development with all the key difficulties that this entailed. And though necessarily limited, this then provides a valid perspective from which to address many other issues that I find are not adequately dealt with in existing accounts. Also once again, it is from such development that the holistic mathematical approach naturally evolved and which then in turn acted as the appropriate vehicle to encod...

Since the last revisions " Update on Classification of Stages " and " Brief Further Update " on my overall model of development (made in 2008), I have been operating with 7 major bands (each containing 3 major levels). However I have come to realise that in recent work, I have in fact been making extensive use of a distinctive band - what I refer to as - Band 5, which was not included in the original account. So with this extra addition, this now gives 8 bands in my overall model (with 24 major levels). And in the the context of the holistic mathematical approach these can all be scientifically encoded in a dynamic binary digital manner, representing unique configurations with respect to both differentiated and integral aspects of development respectively. So perhaps in the light of this latest revision, it would be instructive to outline briefly the 8 major bands. Now it must be stressed that the precise manner in which development occurs, even for those d...

A distinct form of mathematical understanding is associated with each of the 3 levels of Band 5. Now even before we can consider the primes we must already admit the existence of the two original numbers i.e. 1 and 0. And the importance of these two numbers i.e. the binary digits cannot be overstated. As is well-known, the IT revolution which is now having such an impact on so many aspects of modern living is intimately related to the binary digits 1 and 0 as a means of potentially encoding all data. Thus all information can be converted in a binary digital manner. And in this this context we are referring to the quantitative (analytic) use of these two digits where 1 is clearly separated from 0. However what is not at all well known is that these same two digits can equally be given a qualitative (holistic) meaning, where ultimately they become entirely interdependent with each other. This latter meaning is reflected very well in some mystical traditions where (ph...

Another major transformation emerged in my thinking relating to Band 5 (Level 2) development. Prior to this I had been accustomed to think of mathematical activity as solely related to the cognitive mode. I was of course already aware that this cognitive mode itself undergoes a considerable amount of refinement throughout the course of development! So again in broad terms, I distinguished the linear use of reason (of Band 2) for example from the circular paradoxical use of reason of Band 3 (as the indirect cognitive expression of intuitive type understanding) from the yet more refined interplay of both the linear and circular uses of reason of Band 5. Though I would have long maintained that both the affective and cognitive modes are themselves complementary, I still tended to identify mathematical activity exclusively with the cognitive. However this was all to change with respect to increasing understanding of the nature of the Zeta 1 (Riemann) zeros. Perhaps a key feat...

It is my contention that all primitive instincts are rooted in prime number behaviour (when properly understood in a dynamic interactive manner). So we have seen the paradox of prime numbers. Both individually and collective we can view them in quantitative terms as the "building blocks" of the natural numbers. However equally in reverse fashion, we can view the primes as being determined through the qualitative interdependence of the natural numbers! It is similar with primitive instinctive behaviour, where both conscious (specific) and unconscious (holistic) aspects are necessarily intertwined. Primitive confusion - as in earliest childhood - arises through a failure to distinguish the specific from the holistic meaning of phenomena. This in turn is due to the fact that as conscious structures have not yet been successfully differentiated in experience, therefore corresponding (unconscious) integration cannot properly take place. And this is why primitive behaviour ...

It would be instructive once again to attempt to convey the dynamic meaning of the Zeta 1 (Riemann) zeros. And it this respect one can obtain assistance from looking at the corresponding nature of the Zeta 2 zeros (especially with respect to the simplest 2-dimensional case). So the 2 roots of 1, serving as the indirect quantitative expression of the qualitative notions of 1st and 2nd (in the context of 2 members) are + 1 and – 1 respectively. Now the relative interdependence of these two members, arises through the fact that the sum of roots = 0. This reflects that ordinal positions are relative and can arbitrarily switch depending on context.  However the relative independence is expressed through each individual root (i.e. + 1 and – 1 respectively). So the key point here is that a perfect dynamic balance is maintained as between independent and interdependent aspects (in this interactive context). I have explained this many times in relation to our understanding of le...