If you look at my first ZenUniverse post, you will see a six column model. However, the System International Units require seven columns.
Here is a table of two hemisphere intersections. I am using Latin roots, but you will recognize many of the terms:
Here is a blank table you can print out and experiment with correlations and intersections of your own:
Link:
My own work with Enterprise Frameworks and Networks has led me to come up with the following table. It describes the Nodes and Links in a Complete System Network. I am saying that the Nodes representing Goals, People, Time, Locations, Code, Data, Qualities and Quantities can all be represented as Scale-free Networks and that each of these Node Networks require only one datatype. I am also saying that there are only three types of links in networks: recursive links within a set, multiple links between sets, single links between sets. I know of no case where this has been attempted in the manner I am attempting to represent it.
If you have been following my blog you are aware that I have been struggling for a long time to come up with a framework and a clean terminological set to describe systems. I think I have come one step closer to that goal today. The table above describes a Fact composed of eight Nodes (first white row illustrating entities) and the Links (last three white rows illustrating recursive, multiple and singular relationships) for each of the System Networks (Interrogative columns). One of the interesting aspects of this System Network Model is every Fact is composed of a Unique Set of all eight Nodes. However, all the Nodes in one Fact do not have to have Links to all the Nodes in another Fact. Each Node within a Fact is independent regarding its Links. Therefore you have a single set of System Facts with each Fact containing a single set of Interrogative Nodes each connected by their respective Link Networks.
I have recently been writing with the intent to challenge centrism on any one of these networks and advocate a more integrated view. I still remember dealing with data centrism, event centrism, user centrism, goal centrism, program centrism and schedule centrism over the course of my career. All of them have a role to play. My insight into all of these Nouns being Linked by Verbs in only three ways required me to look at all of the Enterprise Architectures and disengtangle the Nouns, Links and Verbs from the reasoning and representations that extend back beyond computing itself.
The Data Model below is a hybrid of Relational Models and Dimensional Models. I call this an Associational Model. It is using Relational Architecture to represent it. However, I think that an alternate Entity-Attribute-Value (EAV) architecture called the Associative Model of Data would be better suited to the task. I am using relational representation as I am still trying to communicate with a community only familiar with Relational technology.
The first thing to note about this model is Links are represented by Associations. Associations link two Nouns using a Verb. What is interesting about this model is every Verb, Association, Noun and Fact is unique. The vertical connections are Many to Many relationships which allow two vertically adjacent Verbs, Associations or Nouns to have multiple unique relationships between each other. What this means is there are no integrity problems (duplicate values) as the system network would enforce uniqueness.
The premise of this model is that the Nodes are not dimensions at all. I am rejecting the traditional concept of dimensionality instead I am saying that there are three dimensions of Links: recursive, multiple and singular. All we perceive are Facts, Nodes and the Links between them.
So you could come away with the following Zen koan:
entity without entity,
source without source,
path without path,
target without target,
size without size,
dimension without dimension.
trivergent, divergent, univergent, convergent.
“History does not repeat itself, but sometimes it rhymes.” –Mark Twain
Cognitary, Inc.
Triverges
to Found
foresought and fidel,
forethought and factual,
familiar and friendly,
fair and full
to Fiat
seer and leader,
feeler and finder,
giver and taker,
seller and buyer
Diverges
to Future
principle and power,
understanding and knowing,
safety and health,
to Flow
vessel and berth,
heaven and earth,
table and hearth,
market and dearth
Univerges
to Function
designing and engineering,
plotting and navigating,
crafting and smithing,
to Form
goal and person,
event and location,
service and product,
price and metric
Converges
to Fashion
control and command,
climate and terrain,
training and discipline,
currency and commodity
to Foot
sanctity and dignity,
certainty and verity,
testity and pacity,
The above outline is the evolving strategic framework of my company Cognitary, Inc. I am working to build a community of generalists to tackle client problems across the disciplines.
Link:
Buddhism’s “Eightfold Path” is a thoroughly thought out system that addresses all the interrogatives. In this post I will give a brief elaboration of what I mean.
In my work with the Czerepak Framework I presented the following:
Trivergent Thinking
Found and Fiat
Divergent Thinkng
Future and Flow
Univergent Thinking
Function and Form
Convergent Thinking
Fashion and Foot
Now, I am going to take the above structure and apply it to the Buddhist Framework, The Eight Fold Path. Let’s look at the path as it is first:
Buddhism states that there is no clear order, but I disagree. Now let’s reorder it according to the Czerepak Framework:
Trivergent Thinking
Found
Right View
Right view simply means to see and to understand things as they really are and to realise the Four Noble Truth. As such, right view is the cognitive aspect of wisdom. It means to see things through, to grasp the impermanent and imperfect nature of worldly objects and ideas, and to understand the law of karma and karmic conditioning. Right view is not necessarily an intellectual capacity, just as wisdom is not just a matter of intelligence. Instead, right view is attained, sustained, and enhanced through all capacities of mind. It begins with the intuitive insight that all beings are subject to suffering and it ends with complete understanding of the true nature of all things. Since our view of the world forms our thoughts and our actions, right view yields right thoughts and right actions.
Fiat
Right Concentration
Right concentration, refers to the development of a mental force that occurs in natural consciousness, although at a relatively low level of intensity, namely concentration. Concentration in this context is described as one-pointedness of mind, meaning a state where all mental faculties are unified and directed onto one particular object. Right concentration for the purpose of the eightfold path means wholesome concentration, i.e. concentration on wholesome thoughts and actions. The Buddhist method of choice to develop right concentration is through the practice of meditation. The meditating mind focuses on a selected object. It first directs itself onto it, then sustains concentration, and finally intensifies concentration step by step. Through this practice it becomes natural to apply elevated levels concentration also in everyday situations.
Divergent Thinking
Future
Right Mindfulness
Right mindfulness is the controlled and perfected faculty of cognition. It is the mental ability to see things as they are, with clear consciousness. Usually, the cognitive process begins with an impression induced by perception, or by a thought, but then it does not stay with the mere impression. Instead, we almost always conceptualise sense impressions and thoughts immediately. We interpret them and set them in relation to other thoughts and experiences, which naturally go beyond the facticity of the original impression. The mind then posits concepts, joins concepts into constructs, and weaves those constructs into complex interpretative schemes. All this happens only half consciously, and as a result we often see things obscured. Right mindfulness is anchored in clear perception and it penetrates impressions without getting carried away. Right mindfulness enables us to be aware of the process of conceptualisation in a way that we actively observe and control the way our thoughts go. Buddha accounted for this as the four foundations of mindfulness: 1. contemplation of the body, 2. contemplation of feeling (repulsive, attractive, or neutral), 3. contemplation of the state of mind, and 4. contemplation of the phenomena.
Flow
Right Effort
Right effort can be seen as a prerequisite for the other principles of the path. Without effort, which is in itself an act of will, nothing can be achieved, whereas misguided effort distracts the mind from its task, and confusion will be the consequence. Mental energy is the force behind right effort; it can occur in either wholesome or unwholesome states. The same type of energy that fuels desire, envy, aggression, and violence can on the other side fuel self-discipline, honesty, benevolence, and kindness. Right effort is detailed in four types of endeavours that rank in ascending order of perfection: 1. to prevent the arising of unarisen unwholesome states, 2. to abandon unwholesome states that have already arisen, 3. to arouse wholesome states that have not yet arisen, and 4. to maintain and perfect wholesome states already arisen.
Univergent Thinking
Function
Right Action
Right action, involves the body as natural means of expression, as it refers to deeds that involve bodily actions. Unwholesome actions lead to unsound states of mind, while wholesome actions lead to sound states of mind. Again, the principle is explained in terms of abstinence: right action means 1. to abstain from harming sentient beings, especially to abstain from taking life (including suicide) and doing harm intentionally or delinquently, 2. to abstain from taking what is not given, which includes stealing, robbery, fraud, deceitfulness, and dishonesty, and 3. to abstain from sexual misconduct. Positively formulated, right action means to act kindly and compassionately, to be honest, to respect the belongings of others, and to keep sexual relationships harmless to others. Further details regarding the concrete meaning of right action can be found in the Precepts.
Form
Right Speech
Ethical conduct is viewed as a guideline to moral discipline, which supports the other principles of the path. This aspect is not self-sufficient, however, essential, because mental purification can only be achieved through the cultivation of ethical conduct. The importance of speech in the context of Buddhist ethics is obvious: words can break or save lives, make enemies or friends, start war or create peace. Buddha explained right speech as follows: 1. to abstain from false speech, especially not to tell deliberate lies and not to speak deceitfully, 2. to abstain from slanderous speech and not to use words maliciously against others, 3. to abstain from harsh words that offend or hurt others, and 4. to abstain from idle chatter that lacks purpose or depth. Positively phrased, this means to tell the truth, to speak friendly, warm, and gently and to talk only when necessary.
Convergent Thinking
Fashion
Right Livelihood
Right livelihood means that one should earn one’s living in a righteous way and that wealth should be gained legally and peacefully. The Buddha mentions four specific activities that harm other beings and that one should avoid for this reason: 1. dealing in weapons, 2. dealing in living beings (including raising animals for slaughter as well as slave trade and prostitution), 3. working in meat production and butchery, and 4. selling intoxicants and poisons, such as alcohol and drugs. Furthermore any other occupation that would violate the principles of right speech and right action should be avoided.
Foot
Right Intention
While right view refers to the cognitive aspect of wisdom, right intention refers to the volitional aspect, i.e. the kind of mental energy that controls our actions. Right intention can be described best as commitment to ethical and mental self-improvement. Buddha distinguishes three types of right intentions: 1. the intention of renunciation, which means resistance to the pull of desire, 2. the intention of good will, meaning resistance to feelings of anger and aversion, and 3. the intention of harmlessness, meaning not to think or act cruelly, violently, or aggressively, and to develop compassion.
As you can see, although there some minor variation in order, there is a very solid correlation with the Czerepak Framework as a whole. Whether it was a man called Buddha or a collection of person’s who composed this path, it is obvious that it is a complete system framework.
I want to give credit to TheBigView.com for their high quality presentation of philosophies and religions and from who I quoted the text on Buddhism.
Links:
Judaism’s “God’ Promise to Abram” is a thoroughly thought out system that addresses all the interrogatives. In this post I will give a brief elaboration of what I mean.
In my work with the Czerepak Framework I presented the following:
Trivergent Thinking
Freedom and Fiat
Divergent Thinkng
Future and Flow
Univergent Thinking
Function and Form
Convergent Thinking
Fruition and Fulfillment
Now, I am going to take the above structure and apply it to the Judean Framework, God’s Promise to Abram. Let’s look at the passage as it is first:
Leave your country,
your people
and your father’s household
and go to the land I will show you
I will make you into a great nation
And I will bless you;
I will make your name great, and
You will be a blessing.
I will bless those who bless you,
And whoever curses you I will curse;
And all peoples on earth will be blessed through you.
Now let’s reorder it according to the Czerepak Framework:
Trivergent Thinking
Freedom
I will make you into a great nation
Fiat
I will make your name great
Divergent Thinking
Future
go to the land I will show you
Flow
Leave your country,
your people
your father’s household
Univergent Thinking
Function
I will bless you;
You will be a blessing.
Form
I will bless those who bless you,
And whoever curses you I will curse;
Convergent Thinking
Fruition
will be blessed through you
Fulfillment
all peoples on earth
As you can see, although there some minor variation in order, there is a very solid correlation with the Czerepak Framework as a whole. Whether it was a man called Abram or a collection of person’s who composed this promise, it is obvious that it is a complete system framework.
Links:
Christianity’s “The Lord’s Prayer” is a thoroughly thought out system that addresses all the interrogatives. In this post I will give a brief elaboration of what I mean.
In my work with the Czerepak Framework I presented the following:
Trivergent Thinking
Freedom and Fiat
Divergent Thinkng
Future and Flow
Univergent Thinking
Function and Form
Convergent Thinking
Fruition and Fulfillment
Now, I am going to take the above structure and apply it to the Christian Framework, The Lord’s Prayer. Let’s look at the passage first:
Our Father in heaven,
hallowed be your name,
your kingdom come,
your will be done,
on earth as in heaven.
Give us today our daily bread.
Forgive us our sins
as we forgive those who sin against us.
Save us from the time of trial
and deliver us from evil.
Now let’s order it according to the Czerepak Framework:
Trivergent Thinking
Freedom
Our Father in heaven,
hallowed be your name,
your kingdom come,
Fiat
your will be done,
Divergent Thinking
Future
on earth
Form
as in heaven.
Univergent Thinking
Function
Give us today our daily bread.
Form
Forgive us our sins
as we forgive those who sin against us.
Convergent Thinking
Fruition
Save us from the time of trial
Fulfillment
and deliver us from evil.
As you can see, although there some minor variation in order, there is a very solid correlation with the Czerepak Framework as a whole. Whether it was a man called Jesus or a collection of person’s who composed this prayer, it is obvious that it is a complete system framework.
Links:
In a Forum interview by Michael Krasny of NPR with Futurist Paul Saffo brought to my attention in a blog by Tim Brown of IDEO, Paul quotes Mark Twain who said, “History does not repeat itself, but sometimes it rhymes.”
My work on the Czerepak Framework is an effort to look back as far as possible to find the rhymes of the history of systems and out of it has come the following:
Trivergent Thinking
Freedom and Fiat
Divergent Thinking
Future and Flow
Univergent Thinking
Function and Form
Convergent Thinking
Fruition and Fulfillment
I have adopted the above process for my company, Cognitary, Inc., and call it “Cognitary Stratus”. It is both a methodology and, when extended to additional dimensions, a framework for designing a system.
My usage of the root “verto” with the prefixes “tri-”, “di-”, “uni-” and “con-” are intended to create new terms to deal with a four dimensional perspective (not three) of systems. The eight sub-forms of thinking correspond to the eight interrogatives:
These rhymes and sub-rhymes are the stratus of all systems and all systems design. Together they are the basis of Cognitary Stratus.
Link:
I have been thinking about the terms “convergent” and “divergent” in Tim Brown of IDEO’s Design Thinking and realized that they were products of planar (2 dimensional) thinking. This has lead me to alter my definitions of what convergent and divergent are and to also redefine “vergent” and add “trivergent”. I also realized that the convergence point is at the center of the ellipsoid and each verge (radius) point is separate and distinct.
Converge, diverge, verge and triverge all come from the same Latin root “verto”, to turn out. All of the polyhedron vertexes are representations of the intersections of radii with the surface of not a sphere, but an ellipsoid. Therefore each vertex is a unique dimension or radius. However, there is one thing that is still not recognized.
Roll, Pitch and Yaw ellipses alone are an incorrect representation of orientation in space because they fail to include orientation relative to the observer. Roll, Pitch and Yaw are flat earth concepts. You cannot represent an ellipsoid with three radii. The minimum radial representation of an ellipsoid requires four points on the surface of the ellipsoid. The tetrahedroid is the minimal representation of the inscription of an ellipsoid.
The above three ellipse object and four ellipse object are both ellipsoids, the only difference between them and the three ellipse ellipsoid above them is the perspective–they have been rotated in space. Using the four dimensional representation gives us the table below:
While I was illustrating the above table it became apparent to me that it accurately reflected John Boyd’s OODA Loop. It also became apparent to me that the OODA Loop could be conceputally simplified to:
The OODA Loop or the Czerepak Framework cycle can be graphed as a simple two dimensional sine vertice:
Now, that’s all sure and fine and it provides a way of thinking with a minimum number of variables. However, if we think about John Boyd as a military combatant it is not the right set of variables. The model has to cater to the following needs:
Suddenly, it becomes obvious that in a system involving living organisms there is added complexity and layers of consciousness. The following table is my first attempt to illustrate this:
The yellow row and column headers are what is of importance. The naming of the white cells will have to come later. Obviously, there are considerable changes in the order of the columns and rows, but I believe John Boyd is closer to the truth about the process than anyone else. Therefore I am redefining everyone else’s concept to fit his. What is important about the table is that in the columns each icon represents a set of ellipses that one ellipse at a time intersects with the ellipses above it to converge on a subset that is the target.
Colonel Boyd’s model was simple. Deviations from it are based more upon misunderstanding than anything else. This is the fundamental System Development Lifecycle (SDLC):
“What are we deleting?” You may ask. We are deleting exceptions that existed in the previous system whatever that system may have been. We are never dealing with a non-existent system. We are SELECTing a set of exceptions the current system does not handle. We are INSERTing those exceptions into the current system. We are UPDATEing the system to handle those exceptions. We are DELETEing those exceptions from the system. I still have to work to reconsider the names for each of the cells, but I am converging on that. The differences between methodologies are really ones of scale and nothing else. It’s how many exceptions do you intend to address at a time.
This effort is requiring a lot of work and rework because I have never dealt with eight interrogatives before, however the fit is conceptually the best I have ever had.