I am
continuing here with a brief introduction to the main stages (i.e. levels) of
development.
The second level of the band (Middle 2) is relating now to rational specialisation with respect to the deeper more general concepts of experience as exemplified by abstract theoretical expressions of a universal nature. Piaget refers to this level as Formop (Formal Operational Thinking) which in simpler terms can be referred to as the formal level.
As stated
before in this holistic mathematical model, I outline 7 major bands on the
overall spectrum of development (with three main levels in each band).
We have
already looked briefly at the three main levels of the lower band.
So we are
now ready to look at the next band (referred to as the middle band).
Again this
comprises three main levels.
Though
again each level entails spiritual, affective and cognitive aspects of
development, as I am mainly concerned in the present context with the
scientific implications of such development, I will concentrate therefore on cognitive and spiritual aspects.
Up to the
middle levels, the holistic nature of the unconscious remains confused to a degree
with the specific conscious recognition of phenomena.
So the initial
task of development is largely concerned with the gradual differentiation of
conscious from (confused) unconscious type recognition.
As this
successfully unfolds through the lower levels, consciousness becomes more
linear in nature with a child increasingly able to abstract the fundamental
poles - which fundamentally underlie all experience – from each other.
For example,
all experience is governed by external (objective) and internal (subjective)
poles. So linear understanding in this context thereby entails the ability to consider the external as independent of
the corresponding internal pole.
Likewise
all experience is governed by whole (collective) and part (individual) aspects.
Again
linear understanding in this context entails the analytical ability to view
parts in abstraction from their overall whole context.
Now, linear
implies 1- dimensional. So linear interpretation is literally 1-dimensional in
nature whereby - in any relevant context - understanding is based on just one
isolated pole of reference
Now the
great benefit of such differentiated conscious understanding is that detailed knowledge
of an unambiguous rational nature is made possible which can be applied to a
wide range of fields.
However the
corresponding disadvantage, which unfortunately becomes quickly overlooked, is
that it leads to a reductionism and fragmentation with respect to
overall experience.
In other
words the analytical process of differentiating overall experience (which is of
a conscious nature) is quite distinct from the corresponding holistic process
of achieving integration with respect to such experience (which is directly of
an unconscious nature).
Thus the
specialisation of conscious experience (which is the appropriate task of the
middle stages) should be seen as just one important step with respect to the
much greater task of overall development.
Unfortunately
in our culture it is largely seen as an end in itself!
So our
current notions of Mathematics and Science are built - almost - exclusively on
the linear rational modes of consciousness that characterise the three levels
of the second band.
So rightly
understood, though we have indeed made great progress with respect to the
specialised development of differentiated notions of science, we have neglected
almost entirely the task of developing corresponding integral
notions.
Therefore
from this perspective, present science can be seen as highly unbalanced.
Thus rather
than just one type of science (including Mathematics) as at present, properly
understood we should have at least three!
1. Analytic
science - based on specialisation with respect to differentiated (conscious)
interpretation of a rational nature.
2. Holistic
science - based on specialisation with respect to integrated (unconscious) interpretation of an intuitive nature.
3. Comprehensive
science - based on the balanced dynamic integration of both analytic and holistic aspects.
Thus once
again, the 2nd band is only directly of relevance to analytic
notions of science. Successful specialisation with respect to holistic and -
ultimately - comprehensive notions of science, require ongoing development with
respect to all the major bands on the full spectrum.
The first
level of this band (Middle 1) relates to the more superficial perceptual
experience of the senses where a growing specialisation with respect to its specific
concrete data occurs. Piaget refers to this level as Conop (i.e. Concrete
Operational Thinking). More simply I generally refer to it as the concrete
level.
The second level of the band (Middle 2) is relating now to rational specialisation with respect to the deeper more general concepts of experience as exemplified by abstract theoretical expressions of a universal nature. Piaget refers to this level as Formop (Formal Operational Thinking) which in simpler terms can be referred to as the formal level.
The thirds
level of the band (Middle 3) is related to the more creative expression of the
previous two levels.
Though
implicitly it is dependent on a rich deposit of intuitive type appreciation (of
an unconscious nature) it is expressed formally though accepted linear rational
modes.
So a great
scientist like Einstein would have operated very much from this level. However
having obtained his key insights from intuitive type recognition, he then
sought to formally express his theories in the traditional linear rational
mode. So Einstein stuck rigidly to the objectivist fallacy right through his
life i.e. the idea that external (objective) phenomena somehow remain unchanged
through our internal (mental) interaction with them.
So this is
precisely linear in the manner that I define the term.
Even though
Quantum Mechanics raises severe questions regarding this approach, there is as
yet no acceptance of the need for an alternative scientific paradigm.
Thus to
conclude this entry we can briefly see how all these three levels of the middle
band are very much to the fore with respect to conventional scientific
practice.
The 1st
(concrete) level is especially important for scientific research; the 2nd
(formal) is then to the fore with respect to formulating (and proving) abstract
hypotheses and theories; the 3rd level, is then evident where
especially creative new scientific discoveries are concerned.
However
even within accepted notions of science there are obvious dangers with respect
to over-specialisation with respect to each of these levels.
For example, with too much focus on concrete data a scientific researcher can lose the
ability to recognise key general patterns with respect to such data; equally
too much attention to abstract theory can gradually erode the ability to
meaningfully apply such theory in a concrete situation; finally too much
attention on the “big” insights can lessen the ability to rationally apply such insights
in a scientific acceptable manner.
The huge
danger - that is again largely unrecognised in conventional scientific terms
- is that extreme specialisation with respect to (linear) rational modes of
analytic enquiry creates an enormous shadow with respect to corresponding
holistic unconscious modes.
Properly
understood, what we exclusively identify in our culture as acceptable science
represents an extreme narrowing with respect to its full potential expression.
And
unfortunately the very process of specialising so much in this analytic type of
science greatly erodes the very (unconscious) base from which the alternative
holistic type can emerge.
In my next
entry, I will use a fascinating holistic mathematical explanation to
demonstrate the precise nature of this problem.
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