Universe: History Rhymes

marktwain

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.

cognitarystratus

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:

  1. Why: Freedom
  2. Who: Fiat
  3. When: Future
  4. Where: Flow
  5. How: Function
  6. What: Form
  7. How Much: Fruition
  8. How Many: Fulfillment

These rhymes and sub-rhymes are the stratus of all systems and all systems design.  Together they are the basis of Cognitary Stratus.

Link:

Cognitary, Inc.

cognitary450

As of 2009 January 01, I am for hire as a Cognitary.  You can contact me through the cognitary.com website.

If you have a system, any system, we can provide solutions giving you a competitive advantage.

Link:

Grant Czerepak: Gravity

gravity

I went on
and first I fell
into the world
with birthing’s yell
I fell and fell
and fell again
bruised and broken
cried in pain
now as I
look back on all
every step
had been a fall

–Grant Czerepak

copyright 2008 all rights reserved

Jared Diamond: Societal Collapse

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more about “Jared Diamond: System Collapse“, posted with vodpod

If you listen carefully to what Jared Diamond is saying in the TED video above, he is describing not a five part, but a six part power curve into a systemic singularity. This has been one of the core themes of discussion of this blog.  We all seem to be too close to our problems to see the commonality.  The interrogatives come into play here:

  1. Goals
  2. People
  3. Functions
  4. Forms
  5. Times
  6. Distances

Times and Distances being the basis on which the higher orders are built.

When we look at the recent economic “crisis” we see 300 trillion in currency circulating and roughly 1 trillion to 2 trillion shifting suddenly and unexpectedly.  We witnessed a systemic collapse, a singularity, a tipping point, a power curve, an exponential change, a phase transition or whatever label you want to call it.  These have been happening everywhere since Time and Distance began in different contexts and orders both in human and non-human systems.

What Jared Diamond and other alarmists are implying is that human society is now a system approaching its final singularity in this century on this planet.  We are implying that today we are experiencing a less than one percent crisis on a power curve into a singularity.  How many more iterations will the global system withstand?  Will humanity make the step into space successfully before we experience a global dark age?  How will the six or more factors in the power curve play out?

The truth to me appears to be that power curves whether they play out or not result in either a systemic climax or anti-climax followed by a systemic collapse.  Would it not be better if we experienced a systemic climax that led to us expanding into the solar system?

Systemic collapse seems to be the fashion of this generation.  Every generation looks with fascination at its own youth, maturition, reproduction and acceleration into mortality.  Some die early, some die late, but all die.  It is an irrevocable law of nature.  It is not about self-interest.  It is about what self-interest is defined as.

Related Posts:

Beyond the Singularity

Servitas and Libertas

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Octahedron Theory (cont’d)

I have been updating the previous post and will continue to update it as I receive feedback from my peers over at dbforums.com.  I want to thank them for helping me to express my concept more clearly.

Diversion: Black Bottom Collective “L-O-V-E” – Live

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Flags: The World Orders of the 20th Century

Grand Unified Theory

Systema: Geodesates as Singularities

“No one untrained in geometry may enter my house” — Plato

Over the past year I have been working with associative and relational databases attempting to find out more about how to develop a better database architecture.  This has taken me into many realms including network theory, chaos theory, state transition theory, geometry, logic, chemistry, biochemistry and physics.  Recently, I began to put these things together and I think I have had a valuable insight.  I call this insight “Geodesate Singularities”.

Geodesate Singularities regard networks as transitions between geodesates which are a group of convex polyhedrons.  Convex polyhedron networks have vertexes as nodes and edges as links.

What is of primary importance to this concept is the vertex enumeration (number of vertexes) and the polytope (number of edges per vertice) in these convex polyhedrons as geodesates are regarded as the most stable states.

First frequency Geodesates are a subset of the Platonic Solids and the Archimedean Solids:

  1. 3 edges per 4 vertices – 6 edges  – Tetrahedron
  2. 4 edges per 6 vertices – 12 edges  – Octahedron
  3. 3 edges per 12 vertices – 18 edges – Truncated Tetrahedron
  4. 5 edges per 12 vertices  – 30 edges – Icosahedron
  5. 3 edges per 20 vertices  – 30 edges – Dodecahedron
  6. 3 edges per 24 vertices – 36 edges – Truncated Cube
  7. 4 edges per 30 vertices – 60 edges – Icosadodecahedron
  8. 3 edges per 60 vertices – 90 edges – Truncated Icosahedron
  9. 3 edges per 60 vertices – 90 edges – Truncated Dodecahedron
  10. 5 edges per 60 vertices – 150 edges – Snub Dodecahedron
  11. 3 edges per 120 vertices – 180 edges – Great Rhombicosidodecahedron

Higher frequency Geodesates are triagulations of the above solids.  I recommend downloading the Mathematica Player and the Mathematica Demonstrations Project Geodesate Demonstration to view the polygons for each frequency.

Again, what is important in the Geodesates are the number of vertexes (nodes) and edges (links).

My hypothesis is when the growth of a network achieves the vertex enumeration and polytope of a geodesate at the first frequency or higher, a singularity state exists in the network order and results in a state transition of the network when exceeded.

Increasing a Geodesate’s frequency involves dividing the faces of the chosen polygon into sub-triangles:

The first frequecy subdivision is termed as 1V, second as 2V, third as 3V and fourth as 4V.

1V Icosahedron Geodesate

12 Vertexes – 12 5 Edge Polytopes

2V Icosahedron Geodesate

42 Vertexes – 12 5 Edge Polytopes – 30 6 Edge Polytopes

3V Icosahedron Geodesate

92 Vertexes – 12 5 Edge Polytopes – 80 6 Edge Polytopes

4V Icosahedron Geodesate

162 Vertexes – 12 5 Edge Polytopes – 150 6 Edge Polytopes

I think geodesate singularites have  implications for Telic, Organic, Chemic, Physic, Static and Gegonic networks.  This has implications for Ray Kurzweil’s Singularities, Malcolm Gladwell’s Tipping Points, Stuart Kauffman’s Self-Organization and Howard Rheingold’s Cooperation Theory.

Convex polyhedrons and geodesates could create and limit new organizational structures for enterprise goals, personnel, products, measures, spaces and schedules.

Related Links:

Icons: The Czerepak Framework

Beyond the Singularity

Physics: Observer as a State

Sociology: The Six Adopter Types

The Constitution, The Candidates and The Christians

Of all the things that make me sick about the United States elections it is the bigotry of the religious electorate.  If interviewers for any job in the United States questioned the candidate about their religious beliefs the interviewers would have litigation and criminal charges laid against them for violating the potential employee’s constitutional rights.  However, we have a bunch of Christians who think they have the right to violate the constitutional rights of the candidates for the United States presidency.  In otherwords, this block of voters are criminals violating the highest laws of their country.  Perhaps it is time to arrest them wholesale and put them in concentration camps until they learn the laws of their land.  Perhaps it is time for another American civil war forcing the legislation of secularization.

Any politician running for political office should be judged on their determination to uphold the constitution of their constituency and their education and experience in handling the pragmatic responsibilities of their constituency.  Nothing else.

What we have now is a secular state being taken over by a religious sect, Christianity, which is no different and no less unjust than Islam and sharia law.

The presidential oath of office should be sworn on a copy of the United States Constitution not a collection of myths.

We are in a world where American Christianity and Mid-East Islam have now become the greatest threats to world peace and progress.