Skip to main content

Posts

Where Mathematics and Psychology Coincide

I have frequently made reference to the fact that the significance of the Riemann Hypothesis is much greater than commonly appreciated. Unfortunately due to the reduced nature of current mathematical understanding, attempted understanding of the hypothesis occurs in a merely quantitative fashion. However, in truth every mathematical symbol inherently possesses both an analytic (quantitative) and holistic (qualitative) significance, which interact in complementary fashion with each other. And it is in the light of this dynamic appreciation that the true meaning of the Riemann Hypothesis is revealed i.e. as the hidden qualitative basis of our everyday quantitative understanding of number. As we have seen all the natural numbers (except 0 and 1) can be expressed as the unique product of prime factors and in conventional terms the natural numbers are represented as lying on a real line. This then forms the basis for all quantitative measurement and by ...

Band 5 Revisited (3)

We now come to the final level of Band 5 i.e. Band 5, Level 3. As we have seen with Level 1, the transcendent descent (from the mountain summit) is largely completed, whereby one is now ready to ground refined holistic intuition associated with the “higher” spiritual dimensions in the everyday understanding of the middle band. Only now can the marriage of contemplative type vision with linear rational understanding properly commence. Then with Level 2, the immanent descent (to the submerged depths) is likewise largely completed. So one has largely succeeded in the task of unravelling residual physical instinctive behaviour so that it no longer projects itself involuntarily into consciousness (especially with respect to concrete sense phenomena). So, as we have seen, involuntary projections always represent a certain confusion with respect to the relationship as between the conscious and unconscious aspects of personality. So the bottom-up integration of conscious ...

Band 5 Revisited (2)

Yesterday I characterised Band 5 (Level 1) as the transcendent descent, whereby refined holistic intuition - associated with the “higher” dimensions of spiritual development - becomes grounded in the linear understanding of the middle band. So it represents a certain integration of both conscious and unconscious, whereby contemplative type vision can be successfully balanced with analytic type reason. And this descent of the “higher” superior is only made possible through substantial further exposure to the fantasies and exposures emitted from the depths of the “lower” inferior self. At this stage one becomes keenly aware that such notions of “higher” and “lower” have a purely relative validity. Indeed formerly, undue identification with development of the “higher” inevitably led to a certain repression of the “lower” self, whereby it was unable to properly speak for itself in recognising its most primitive instinctive desires. However as one gradually learns to rel...

Band 5 Revisited (1)

It is over a year since I last contributed to this blog. However an advantage of such a delay is that it enables a perspective from which to place what has already happened in context, while equally enabling a fuller appreciation of the direction in which one's personal development is heading. In previous entries I refer to Band 5 as the descent, whereby one attempts to achieve a better balance as between both the transcendent and immanent directions of development. However in a way this is too simplistic. Previously, I have used the analogy of a steep mountain climb to refer to the transcendent aspect of the spiritual journey. So with Band 3, emphasis is indeed devoted to the ascent with emphasis mainly on the transcendent aspect. However even here there is necessarily a counterbalancing descent with respect to gradual uncovering of the primitive instinctive aspects of personality. So we could perhaps use the corresponding analogy of a dee...

Dual and Nondual Reality

In my latest model of development, I now include 8 bands - where a band represents the most general classification of stages - in total. And as each of these bands then contains three main levels, this leads to a model containing 24 major levels. Then in my holistic binary approach to development, the nature of all these levels is dynamically defined in both linear (1) and circular (0) terms, allowing for unique configurations with respect to differentiation and integration respectively. I also define sub-levels (usually 3 within each level). Then a key distinction is made as between the 3 main polarities of experience, external/internal whole/part and form/emptiness. And again in dynamic interactive terms, these polarities combine notions of relative independence (where the poles are separated) and relative interdependence (where the poles are viewed in a complementary manner) respectively. The first polarity set (external/internal) leads to the view of stages as relating inte...

Personal or Social Development!

When one looks at the stages of development from a social perspective, one would have to conclude that "average" attainment remains quite low (in terms of the full potential spectrum). Therefore from one perspective, one could conclude for most individuals - certainly in Western society - that development plateaus significantly with the stages of Band 2. This of course is not to deny that such individuals may be highly capable and talented and occasionally reach (at least with respect to some abilities) more advanced bands. However one would have to conclude that very few indeed achieve sustained experience of the contemplative or radial stages. This in turn creates an important difficulty for any rare individual who feels called - even from an early age - to significantly move on to these advanced stages. For in attempting to do so, one is placing oneself outside the norms of conventional society, where perhaps for the remainder of one's life, one must be will...

All Stages Revisited

In yesterday's entry I was at pains to portray that with Band 5 development both ascent and descent become equally associated with "higher" super-conscious and "lower" sub-conscious development respectively. And as the complementary dynamic nature of both aspects becomes ever better appreciated, the very notion of "higher" and "lower" with respect to development eventually melts away (with both terms understood in a merely secondary relative fashion). This paves the way for true radial development, where all experience emanates directly from a spiritual centre of being, which equally is understood as the physical centre of the entire universe. And there are remarkable links here with the true nature of the number system. Thus, corresponding to super-conscious ascent, I discovered the great importance of the qualitative holistic notion of number as dimension (associated with the Zeta 2 zeros). In other words the "higher" lev...