© BAYER 1997
THE HOLISTIC WHOLE
Abstract. The paper endorses the view
that everything is linked within a comprehensive coherent Whole which is
both boundless and finite. The Matrix, a conceptual framework which integrates
the four elements feel/think/act/time into a single Holistic landscape
of values and entities, allows uninhibited all time compliance with this
view. The universes of science, art, philosophy, linguistics, once expressed
in words, are all capable of graphical accommodation within the framework.
The word/meaning nexus is captured in the Matrix expressions, usually in numerical form with radicals and fractals. The emerging lexicon of key words supports meaningful coherent relationships in the Matrix landscape both in focus and perspective. Single and polar words are highlighted. Boxes are rejected and paradigms strongly promoted. The faceted format for articulating definitions provides a valuable series/parallel continuum which helps comprehension and stimulates comprehensive development.
Values and relationships are of core importance to the mental processes and the more external borders are thinned out, in the move towards a global learning society, the more critical becomes a proper grasp of relationships. A tensorial integration formula is postulated to provide a linkage between three basic parameters: Quality, Entity and Quantity. The sensitive concept of Equivalence, as distinct from equality, is discussed and forms a prime element in converting familiar non-linear relationships into the orthogonal linearity of the Matrix. Critical versus creative thinking is examined and the context extended to include logic (25.0), reason (75.0), rationality (55.0), legitimacy (77.58), morality (97.58) and metricity (99.55).
Optimisation (59.96), as opposed to maximisation, is seen as providing the fairest and most effective base for revitalisation and moving past conflict resolution towards new levels of proactive harmonious prosperity.
This paper considers representing the essence of human information and experience within a single all inclusive framework of reference.
It endorses the view that everything is linked within a comprehensive coherent whole, a whole that is both boundless and finite.
2. The Framework
The Matrix provides the conceptual framework within which all concepts and entities are projected. It is a framework which integrates the four elements feel/think/act/time into a single holistic landscape of values and entities, allowing visualisation of conceptual notions and relationships graphically and numerically. Of modular construct with decimal continuity, it forms a universal framework accommodating conceptual totality and functional flexibility.
A 4-page MATRIX STATEMENT giving details of the Matrix construction, its rationale and a number of associated corollaries is readily available. It can be downloaded from the Internet, Web site http://www.ozemail.com.au/~bayerben/
The Matrix is a tool in the hands of the user and as such its output is linked to the input of the Beholder. This makes individual perception an integral factor in its functioning. Its construction, based on perceptual elements we all relate to, allows relative ease of compliance and verification when projecting values and entities. The universes of science, art, philosophy, linguistics, once expressed in words, are all capable of graphical accommodation within the framework.
With respect to scientific knowledge, I would like to highlight three
towering milestones of modern science:
· Newton’s laws and the theory of universal gravitation
· Einstein’s special and general theories of relativity
· Quantum mechanics
These scientific landmarks deal with laws governing respectively mechanistic relationships, holistic relativistic correlations, and probabilities. This can be transposed in highly simplified mainstream words to laws covering causality, interactions and uncertainty.
It is also suggested as a broad generalisation that laws are natural and rules are man made.
2.2 The Matrix coverage
The full spread of the Matrix coverage lends itself to a basic lexicon of key words and meanings which could be associated with each of the Squares. Such linkage would present a general first order of relationships as the flexibility of the Matrix, through its mobility to suit purpose, allows other patterns to be projected.
The following tabulation is intended only as a draft open ended display of some of this lexicon, covering elements within a third of the Matrix landscape.
75.9 well being
2.3 Matrix expressions
They are numerical codes allocated to concepts and entities, in accordance with perception, to achieve the best fit on the Matrix landscape.
The decimal point in the expression separates the “Radical” on its left which is the selected starting position from the “Fractal” on its right which is the decimal emphasis representing the direction of change.
For example, leadership (59.86) and consensus (59.75) share the radical 59 (choice/optimisation) but differ in the decimal emphasis, 86 (design) and 75 (reason) respectively.
The determination of a Matrix expression relating to an entity gets its validation from tests of perception (25.45), equivalence (55.386) and coherence (49.55). For this reason, the Matrix expressions presented in this paper should be considered as a first draft, open to and inviting debate.
The humourous reference to “turtles all the way down” in connection with logical support highlights the challenges associated with ensuring coherence.
A classification is a systematic distribution of a universe into various categories or classes according to well defined criteria. For the classification to be inclusive of the whole universe, the distribution system must be holistic, meaning that no element of that universe can be left out unaccounted. This requirement at once defines the word Holistic which refers to the system while Whole refers to the universe. It is in that sense a matter of linguistics and mainstream use whether holistic could not be spelt wholistic.
The Matrix, by incorporating the four fundamental perceptual elements feel/think/act/time, can meet the goal of compliance with the holistic attribute. Classification criteria and norms such as similarities/differences, core/non core, polarised/unpolarised, structured/unstructured, causality/interaction, determinism/uncertainty, reality/fantasy etc, can all be accommodated within the Matrix landscape.
It is important to recognise that only within a holistic whole can reality appear undistorted. With any partial viewing, reality will suffer some distortion depending on the context. Nevertheless, if the partial view is judiciously selected, the distortion may well be insignificant.
Facets are a key element of the Facet technique developed by Professor Louis Guttman and used with high effectiveness in applied social research. By grouping a number of elemental words vertically between bracketing lines in the horizontal flow of a sentence, facets achieve a functional and compact form which allows a large number of permutations to be presented at a glance, simply and clearly.
Facets are most valuable in formulating definitions because they allow complex meanings to be presented in a sequence of simple structures where the qualities of clarity and acceptability can be readily verified.
A faceted definition of Interpretation is used as an example involving four facets A to D with matrix numbers shown adjacent the facet elements.
Language is, on balance, one of our most powerful means of expression and communication. Its building tools are words and hence their critical importance in shaping the communication process.
5.1 Single and Polar Words
Words are defining.
Single words can, with benefit to efficiency and effectiveness, substitute for rambling descriptions. Clarity is enhanced when the right single words are selected. It may not lead to consensus but it presents a focused picture for meaningful debate. An example is the issue of affirmative action based on need (41.37) rather than race (44.87).
Polar words are single words with emphasis placed on polarity. Polar words at once suggest a scale of values with two or more polarities.
Instant access to the lexicon of key words and their corresponding Matrix expressions is facilitated by sorting them out ordinally in two registers, one alphabetical (dictionary fashion) and the other numerical.
The numerical register allows the chromatic changes to be viewed at short range, facilitating the evaluating role of perception.
5.3 New Structures
The word/meaning nexus is a dynamic relationship which responds to changing needs, changing times, fast developing technology and ever increasing sophistication.
Existing words get redefined, new words and new structures are created. It is important, at the key word level, to retain coherence and continuity.
I would like to float the word Metricity (99.55) as the proactive word integrating optimally logic (25.0), reason (75.0), rationality (55.0), legitimacy (77.58) and morality (97.58).
6.1 Self organising
It is generally accepted that the operating basis of perception (25.45) is information organising itself into patterns. All the relationships involved can be observed and monitored on the holistic landscape of the Matrix. Meanings (55.65) are the interpretation of these perceptions.
6.2 Boxes or Paradigms?
A glance at the Matrix shows that it is made up of 81 Squares. Each of these squares on its own may have the appearance of a box but in line with the holistic concept of the Matrix each of these squares is an integrated paradigm.
The significant difference is that the content of a box can exist in total isolation from its surroundings, but the content of a paradigm is at all times linked comprehensively and coherently to the very whole of which it is a part. Its boundaries provide conceptual separation but simultaneously display the appropriate degree of porosity to allow congruence between the vast diversity of possible, apparent or virtual truths and the overall complex reality.
Furthermore, paradigms on the Matrix landscape, while clearly identifiable by their separation boundary, are not limited to the Squares but can include very large or very small chunks of the Matrix.
6.3 Tensorial integration
The relationshipis postulated to provide a linkage between three basic parameters:
Quantity (q) which is a measurement
Entity (E) which is a concept
Quality (Q) which is a perception
n is the number of multiple entities associated with a given situation and generally indicates the degree of dimensional complexity. Semantic ambivalence which results in differing perceptions can often be traced to elements of the above relationship.
The mathematical concepts of scalar (magnitude, no direction), vector (magnitude, one direction) and tensor (magnitude, more than one direction) are helpful in visualising the above process. Quantities are scalars, Entities are tensors, and Quality, also a tensor, is the aggregate "bottom line". In somehow remarkable fashion, the "right" words can provide the correct fit for these complex realities. Conversely, the "wrong" words can throw the whole edifice out of kilter.
Equivalence (55.386) is possibly the most critical and powerful element of relationship. While Equivalence is not Equality (55.55), it postulates the equating between entities in a well defined context.
Equivalence recognises - as equivalent - causes producing the same effect or effects producing the same perception. The Matrix horizontal and vertical lines provide alignments of Equivalence which accord with common perception. One element of basic import when considering equivalence is the direction or arrow of time.
The words transformation, projection, conversion, correspondence, coalescence are related to equivalence.
6.5 The Square and the Circle
On the Matrix, the circle inscribed in a square shares its centre and the equivalence potential attached to it. Viewed from this central point, the circle is the Observer's "local horizon".
Optimisation (59.96) as opposed to maximisation (64.66) is the best
choice (59) focusing on accomplishment (96). As the process outcome is
a tensorial integration of factors and parts, the relationship at section
6.3 can be expressed as:
(i) Optimisation is maximisation in the right direction.
(ii) Optimising the whole is by sub-optimising the parts.
6.7 Association and Analogy
They are very important relationship tools. Association (45.45) is passive, triggered by proximity, contiguity or similarity of form. Analogy (85.85) is proactive and recognises similarity of internal relationships between two systems or two complex entities.
The basic process is self organising (25.56) mental patterns. These patterns end up perceived as close neighbours in association, and recognised as linked by similar mechanisms in analogy. To some extent the two processes are partial elemental forms of Equivalence.
6.8 Critical and Creative thinking
In the domain of thinking, two thinking modes are often compared yet frequently opposed: the Critical and the Creative thinking. On the conceptual map framed by the Matrix these two modes of thinking as well as a number of related factors can be clearly contrasted.
It can be seen that Critical thinking operates mainly from Block 2 while Creative thinking operates mainly from Block 8. These two modes are complementary rather than conflicting and their separate elements of emphasis allow coverage of a whole that is greater than the parts. In this regard they form a powerful partnership.
Display of entities on the Matrix helps define identities, similarities, differences and relationships with a balanced reference always available for focus and perspective.
The selection for display includes
Truth and reality
The five W’s and How
The Logic paradigm 25.0
The Belief paradigm 49.0
The Design paradigm 86.0
The six thinking hats
Self organising/plus others
Self interest/Best interest
Choice (focused) and Implementation (skilled)
In conclusion I would like to say that in a world where communication and technology are increasingly thinning out barriers, borders and boundaries, the quality of life in the fast emerging global village demands skillful harnessing of the vast available and potential resources and energies, for the benefit of the largely diverse global community.
This harnessing is optimised by sound thinking skills at the individual and the collective levels. The Matrix, by its holistic and universal approach to values, meanings and entities, can provide a useful and convenient tool and an instant reminder to facilitate access and promote relationships. It will work naturally with other tools, as it provides by definition a means to clearly define their operational coverage.
The following short selection stands for both acknowledgement and reference:
1. Stephen Hawking: A brief history of time (1989)
2. Paul Davies: The mind of God (1992)
3. Edward de Bono: Parallel thinking (1995)