Spectrum of Development

I will return here to the nature of the 5 th band of the overall spectrum of development (that I outlined again briefly yesterday). Actually this is where I would make another slight modification with respect to the position I outlined some five years ago!. I referred then to this as representing the first of the radial bands of development, where linear (rational) and circular (intuitive) modes of understanding are comprehensively integrated in a mature manner. However I would now consider on reflection that this band should be referred to more accurately as pre-radial. Indeed there is an interesting - and not entirely accidental - connection here with another finding that I outlined yesterday with respect to cyclic primes. And as this whole episode illustrates the nature of holistic - as opposed to analytic - behaviour well, I will relate it here. Many years ago when I was developing my holistic approach to number types, I began to realise that there were strong c

It is now more than five years or so since I last posted my most recent “ map of development ” (March, 2008) which was then briefly updated (June 2008). Since then my attention has largely switched to bringing my holistic mathematical approach to bear initially on the Euler Identity and then in a more sustained fashion on the Riemann Hypothesis. It is always interesting therefore to go back with the benefit of the additional experience gained in the intervening years to see what modifications one would now make on that original account. It is important from the onset to place this “map of development” in perspective. Though it is indeed intended to deal with the integration of all human development (affective, cognitive and volitional), in recent years I have principally used it with respect to providing a comprehensive framework for Mathematics and Science.   Just like (natural) light is now seen as representing just one small band on the overall electromagnetic spectrum,