Posts Tagged ‘Summer’

About Mystical Number Theory and Pascal’s Triangle

Friday, December 2nd, 2011

The first part of this Blog is about the Triangular numbers, related to the Number 3, the Holy Trinity.

The second part shows that Pascal’s Triangle (called Meru’s Mountain in Mystics), the Binomial Expansion,  contains every Possible Mystical Number Pattern (including the Triangular Numbers) you can Imagine.

Pascal Triangle also shows that our Universe is a combinatorial miracle. It explores every possibility, is always in balance, expands and moves back to the beginning which is and was the Void, the Empty Set, the merge of Every Paradox, that is Possible.

About Mystical Number-Patterns

The Sēpher Yəṣîrâh (Book of Formation or Book of Creation, ספר יצירה) is the oldest book on Jewish Mysticism. The Sefer Yetzirah describes how the universe was created by the “God of Israel” through 32 Wondrous Ways of Wisdom.

The Number 32 is the Sum of the 10 Sephirot and the 22 Letters of the Hebrew Alphabet.

The Sephirot is related to the  Tetraktys of Pythagoras. The Tetraktys embodies the Four main Greek Cyclical (PlatonicMusical Harmonies: the Fourth (4:3), the Ffth (3:2), the Octave (2:1) and the Double Octave (1:4).

1+2+3+4 = 10. 10 is the 4th Triangular Number. The Nth triangular number is the Sum of the numbers 1 -> N. This Sum is equal to 1/2N(N+1).

Between the 10 Sephirot run 22 Channels or Paths which connect them.

The Sephirot are the Points of the Tetraktys. The Hebrew Letters are the Lines between the Points. The Lines of the  Sephirot and the Tetraktys create a Cube (6) at the Top and a Tetrahedron (4) at the Bottom.

The Letters of the Hebrew  Alphabet are divided in the 3 Mother Letters (אמש, the Trinity), the Seven Doubles (The Planets) and the Twelve Simples (the Zodiac).

The 22 letters of the Hebrew Alphabet are a combination of the Trinity, the 7 Planets and 12 Signs of the Zodiac.

When you analyse the Sepher Yeshirah the Cube of Space (the Kaaba) appears out of the Hebrew Alphabet. The Kaaba is related to the Seventh Planet, Saturn.

The 3 Axis of the Cube of Space are the Trinity, the 6 (2×3) Faces of the Cube stand for the Planets with the 7th Saturn, the Son of the Central Sun (3+1 (Center)+3) in the Center and the 12 (4×3) Boundary Lines of the Cube represent the 12 Signs of the Zodiac.

As you can see the Number Three, the Triangle,  plays an important role. It is the First Structure that is Closed in Itself and is therefore Topological related to the Circle. The Circle (and the Triangle) is able to rotate With and Against the Clock. This property is called Spin in Physics.

It is very important to realize that Everything Rotates in our Universe around a Central Object that rotates around another Central Object. The Central Object Gives Time, determinates the Rythm or Harmonics,  of the Rotation Structure.

The Trinity rotates around the Void. The 7 Chakra’s of the Human rotate around the 4th Chakra, the Heart Chakra, ((3+(1)+3)=7).

The Planets rotate around the Sun and the Sun rotates around the Central Black Hole. The arrow of Sagitarius points to this Black Hole.

On a Six Sided Dice the Sum of all the Numbers is Seven (1+6,2+5,3+4). The Sum of the Six Numbers is 3 X 7 = 21. If we add the Center (Saturn) the Number 22 appears.

22/7 is a good approximation of the number π. π relates the Square (and the Cube) to the Circle.

The Cube of Space symbolizes  the Playing Board of the Game of Life. On the Playing Board we have a Free Choice to move into the many Paths that are available. Every Path has its own Probability and this Probability can be calculated. If we don’t know what to do we could throw a Dice.

The Cube of Space contains the same six lines that exist in the I Ching. Four of the lines are of equal length, the other two, the diagonals, are longer. For this reason symmetry cannot be statically produced and the Dance (of Shiva) results.

The Circle represents the Cycles of Time of the Matrix of the Demiurg. Behind all the Probabilities of all the Possible Paths lies a Hidden Order.

A Hexagram, represented by the Star of David,  is a Two-Dimensional (Orthographic) projection of a Cube. A Symmetric Projection of the Cube creates a Cross.

A Hexagram is a Two Dimensional Cube

One of the many meanings of the first word in the Bible “Bereshit“,  is “They (Elohim) created Six” which means that in Six Stages of  the Time Cycle the Cube of Space (or the Hexagram) was populated. On the Seventh Day the Center was filled.

The book of Genesis does not describe the creation of the Trinity (They, Elohim, 1+2+3, 1x2x3) itself. This stage was later covered in the Zohar.

In my blog “About the Sum of Things” it is shown that Six Stages are part of an Expansion Pattern governed by the Powers of Two. After 2**6 (64) Expansions (or Compressions) the Same Fractal Pattern repeats itself on a higher level.

64 is the Number of the I Tjing and the Game of Chess. The number 32 of the Sepher Yeshirah is 64/2 and is a Contraction of the I Tjing.

The I Tjing is a contraction of the oldest Divination System in the Word called FA. FA is still used all over the world by the followers of the oldest wisdom-system created by the YOrubA in Africa. The Yoruba lived at the place where the ancient Paradise was situated.

Star of David in The Israeli Art Genesis-2

The Fourth Day (Sun (4), Moon (5))

About the Triangular Numbers

The Tetraktys contains the Numbers 1, 3, 6 and 10. These numbers are called Triangular Numbers.

The number 21 is also a Triangular Number because it is the Sum of  the Sixth Level of the Tetraktys,  the Numbers 1 to 6.

The Fifth Level of the Tetractys is related to the Number 15 (1+2+3+4+5). This number connects the Tetractys and the Sephirot to the 3×3 Lo Shu Magic Square also called the Seal of Saturn.

The nth Triangle number T(n) is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n.  T(n)=n(n+1)/2.

The Triangular Numbers contain the Perfect Numbers. A perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself. Six (1+2+3=1x2x3) is the first Perfect Number and 28 (1+2+4+7+14) is the next.

The Sum of two Triangular Numbers is a Square

The Sum of two adjacent Triangular Numbers T(n) +  T(n+1) is a Square Number because Two Triangels can be combined in a Square. 1+3=2**2 and 3+6=3**2.

There are many relationships between the Triangular Numbers. These relationships were the focus of the research of the Mystical Group of the Mathematikoi of Pythagoras.

6 (Bereshit, the Cube, the Hexagram) + the 22 Letters of the Hebrew Alphabet = 28, the Next Perfect Number (1+2+3+4+5+6+7).

28 is like the numbers 6 and 15 also a Hexagonal Number. As you can see in the picture below 28 is the fourth Hexagonal Number. As we have seen before a Hexagon is a Projection of a Cube so 28 represents a Cube in a Cube in a Cube. A Cube in a Cube is called a Tessarect or a HyperCube.

28 is a Hexagonal Number

The Number 15 is a Cube in a Cube called a Tessarect or a HyperCube

The first sentence in Genesis (“In the beginning Elohim created Heaven and Eearth“) contains 7 words and 28 letters. This indicates that the Creation Process was already in the 7th stage of the Tetraktys and in its 2nd Fractal Expansion,  the Birth of the Material Universe.

The sum of the entire verse is the 73rd Triangular Number. The prime Numbers 37 and 73 are geometrically related. They form the third and the fourth term in the sequence of Star Numbers (1, 13, 37, 73, 121).

Hexagon/Star pairs are closely related to Triangular numbers. Their product is always a Triangle, and they can be symmetrically generated from a Pair of Triangles.

Star Numbers are a Combination of Two Triangular Numbers

The Square is a combination of two Triangels. It is represented by the Of Star of David, the Symbol of the Heart Chakra.

The Symbol of the Heart Chakra contains Two Triangles.

About Pascal’s Triangle

When a number represents a Geometric Structure it is called a Figurative Number.

Every possible figurative number is generated by the Triangle of Pascal.

The Fractal Sierpinsky Triangle is the Triangle of Pascal Modulo 2.

The Triangle of Pascal was known long before Pascal (re)discovered it.

It was known in Ancient India as the Meru Prastara and in China as  the Yang Hui.  Meru Prastara relates the triangel to a Mystical Mountain called Mount Meru. Mount Meru is also implemented in the Sri Yantra.

The Triangle shows the Coefficients of the Function F(X,Y))= (X+Y)**n. If n=0 F(X,Y)=1 and if n=1 F(X,Y)=X+Y so the Coeffcients are (1,1).

Pascals Triangle is a 2-Dimensional System based on the Polynomal (X+Y)**N. It is always possible to generalize this structure to Higher Dimensional Levels. 3 Variables ((X+Y+X)**N) generate The Pascal Pyramid and n variables (X+Y+Z+….)**N  generate The Pascal Simplex.

The rows of the Pascal’s Triangle add up to the power of 2 of the row. So the sum of row 0 is 2**0 and  the sum of row 1 is 2**1 =2.

The Sum of the  rows of the higher n-dimensional versions of the Triangle is n**N where n is the Amount of Variables and N the level of expansion. So the Sum of Pascal’s Pyramid (3 variables X,Y,Z) is 3**N.

Triangle of Pascal

The most interesting property of the Triangle is visible in the Diagonals.

The First Diagonal contains only 1′s. The Ones represent Unique Objects. They are the Points in the Tetraktys.

The Second Diagonal contains the natural numbers. These Numbers are used to Count Objects that are The Same. The Natural Numbers are the Lines that connect the Points. The Natural Numbers are the Sum of the previous Ones.

The Third Diagonal contains the triangular numbers. The Triangular Numbers are the Sum of the previous Natural Numbers.

This pattern repeats itself all the time.

File:Yanghui triangle.gif

The Yang Hui is an ancient Chinese version of the Triangle of Pascal. This Triangle contains Nine (3x3) Levels.

The Fourth Diagonal contains the tetrahedral numbers (Pyramid Numbers) and the Fifth Diagonal, the pentatope numbers.

Fermat stated that Every Positive Integer is a Sum of at most three Triangular numbers, four Square numbers, five Pentagonal numbers, and n n-polygonal numbers.

The Tetrahedron with basic length 4 (summing up to 20) can be looked at as the 3-Dimensional analogue of the Tetraktys.

File:Pyramid of 35 spheres animation.gif

A Tetrahedral Number represents a 3D-version of the Tetraktys.

The Diagonals of the Triangle of Pascal contain every Possible 2-Dimensional Figurative Number (and Structure).

These Numbers are Projections of Higher Dimensional Numbers and Higher Dimensional Structures.

The Higher Dimensional Versions of the Triangle (the Pascal Pyramid, The Pascal Simplex) contain these structures.

The Rows of the Triangle Sum to the Powers of Two (2 Dimensions). These Powers control the Levels of Expansion.

Every 7th step the Fractal Pattern of the Triangle repeats itself on a higher Level.

The Figurative Numbers are the Geometric Shapes that are created by the Lines of the Natural Numbers that are connecting the Points of the One.

Pascal’s Triangle also contains the numbers of the Fibonacci Sequence (“The Golden Spiral“).

When we take the Modulo 9 (the Digital Root of Pythagoras) of the Numbers of Fibonacci a repeating patterns of 24 steps shows itself that can be represented by a Star Tetrahedron or Stella Octangula. The Star Tetrahedron is a Three Dimensional Star of David.

the Fibonacci Numbers as a Cube.

The StarTetrahedron, shows the Pattern behind the Sequence of Fibonacci.

Every Figurative Number N is the Sum of the Figurative Numbers N-1.  Every Geometric Shape is a combination of all the Previous Geometric Shapes.

This means that Every Geometric Shape is in the end The Sum of the Sum of the Sum of  …. Triangels, Trinities (Elohim) or Triangular Numbers and therefore an Extension of the Tetractys of Pythagoras.

The Expansion of the Whole is a (Fractal)  Combination of Combinations.

The Triangle of Pascal is related to the so called Binomial Theorem which is used in Combinatorics and Probability Theory to describe the Amount of Combinations of a Set of  Objects.

The rows of the Triangle of Pascal also shows the Bell Shaped Pattern of the Normal Distribution.

The Probability Distribution of the Triangle of Pascal converges to the Normal Distribution because of the Central Limit Theorem. Every Row has a Mean of N/2 and a Variance of (N**1/2)/2 which means that with every new row the Mean and the Variance become Bigger and Bigger.

The Triangle of Pascal and therefore the Figurative Numbers describe Everything that is Possible but every Expansion of the Triangle is less Likely to Occur.

The Triangle of Pascal Modulo 3

The Triangle of Pascal Mod 3 represents the Tetraktys in the Tetraktys in the .....

Because of the Fractal Expansion/Contraction Pattern The Cube of  Space, related to the Element Earth,  explains Everything there is to Know on Our Level of Existence, Mother Earth.

The interesting part of the Figurative Numbers is that they representent Visual Patterns with which we can Reason.

We don’t need complex formulas because we can See what is Possible.

The interesting part of the Triangle of Pascal is that we can See that the Complex Figurative Structures are created out of a very Simple Structure, the Triangle.

If we want to understand our Reality we have to begin with looking at the Beginning and not start somewhere in the Middle.

If we look at the Fractal Expansion Pattern of the Triangle we See that Every new Stage is an Expansion Out of the Middle.

The Expansion of the Human, the Next Step in our Evolution,  is therefore an Expansion Out of the Heart, the Balance of Father Sky and Mother Earth.

Life is not only about Me and the Other.

Life is also about the Relationship between Me and the Other.

If we don’t Collaborate the Next stage in our Evolution will never happen.

LINKS

The Content of the Sepher Yesirah

About the Sepher Yesirah

About the Cube of Space

About the Tetractys

About the Cube of Space and Psychology

About the Sepher Yesirah and the I Tjing

A correspondence table of the Cube of Space

About Bereshit

About Genesis

About Patterns in the Bible

About Saturn

About the Trinity

About the Sri Yantra and Plato

About the Lo Shu and the I Tjing

All kind of strange relationships between Triangular Numbers

A website about Mystical Number Theory

About the Figurative Numbers

About Combining the Combinations

About the Golden Spiral and Plato

About the Logic of Creation

About Pascal’s Triangle and the Normal Distribution

A complete course in elementary Number Theory

About the Psychology of the Cube of Space

About the Tetraktys and the Zodiac

About the Process Theory of Paul Young

About the Theory of Dewey B. Larsson

Mysteries of the Equilateral Triangle

About Visual Patterns in Number Theory

About Pascal’s Triangle and Cell Division

How to get Very Rich during a Depression

Thursday, November 27th, 2008

The Kondratiev Wave predicts the long term behavior of the Economy. If you look at the Kondratiev Wave, the next stage after the Depression (Winter) is called Spring. Spring is the Time of the Seeds (new Ideas). They where harvested in Autumn. During the time of the Winter the seeds are dormant.

When the Harvest was rich, Winter is a time of Contemplation and Rest. Nature hibernates. Plants, Trees and many Animals sleep and are in the state of the Unconsciousness. When the Harvest was poor, Winter is a time of big trouble.

There will be shortages of Food and Fuel. When the Harvest was poor Winter is a time of Social Unrest and even Social Conflict. During the Kondratiev Winter Big Wars are fought and the Dark Side of the Unconscioussness shows itself in the extreme rise of Psychological Problems (Stress, Addictions, Paranoid) and Dark Religious Movements.

During Winter Shares, Paper money and other Imaginary forms of Wealth are worthless. When you want to buy something you have to deliver real value (Cash, Gold, Silver).

It is very clear that You can Make Big Money during a cold winter when you have gathered a huge pile of primary commodities (“raw materials”). During Winter raw materials are exchanged for other raw materials. When you don’t have access to these materials the only thing that is left for you is Charity.

When you are the owner of raw materials and you are making a lot of money you are Making Use of the Situation. During a cold winter you have to give to the poor and the sick. To make it very clear Making Big Money during a Depression is a Crime.

When you are Rich you can accumulate Social Value by giving away your Material Wealth to Others. During a Depression Material Wealth has to be transformed into Social Wealth to prevent a Social Conflict. This investment will pay back with a lot of social interest during Spring and Summer.

Unconditional Giving, Charity,  is a very old fashioned concept. At this moment we “give” a loan for equipment financing or whatever reason, and we “ask”  interest but “giving and asking” are really “demanding”. We want to make sure that what we give will be returned in the same state. More Money for Money, an Two Eyes for an One Eye.

When we don’t want to deepen the down path of the Depression we have to leave behind the Behavior of the Expansion phase of the Cycle, Summer. When the Economy expands it is “easy” to accumulate Wealth. Loans and interest are helpful to bridge a temporary dip in the flow of cash. Summer is a time of fast moving Ups and Downs in the Economy (Recessions).

It is not strange that we are copying the behavior of the Summer. Long Term Cycles just like very fast moving Cycles are not noticed by the Human. They are generational. The pattern repeats every 50 to 60 year so the people that must be Aware of the current situation are Old. They are the grandmothers and the grandfathers, the older people (>75).

Moving through a Depression needs Wisdom and a Long Term View. A Depression is the time to Listen to the Older Generation. Hopefully they have Learned from their Mistakes at that time.

LINK

About the Kondratiev

Why a Depression Takes Thirteen Years

Wednesday, November 26th, 2008

The start and the end of the current depression was predicted a very long time (1922) ago by Nikolai Kondratiev. The Kondratiev Cycle is an economic cycle which lasts between 50 to 60 years.

Kondratiev predicted that the current Depression will start in 2000 and end around 13 years later. Kondratiev used the Seasons to name the phases of his Cycle. We are now in the phase of the Kondratiev Winter.

Spring is marked by economic expansion. Savings are at fairly high levels, and interest rates are low. Stocks and real estate are the most successful investments. 

Summer is marked by high inflation, high interest rates and by volatility. Commodities, gold, and real estate do well during the summer. This is the time to sell your Phoenix house fast and make a nice profit.

Autumn is the happiest phase of the Cycle. This phase started about 1982 and ended around 2000. During Autumn paper financial investments like stocks and bonds always do best. It is characterized by speculative bubbles or manias in stocks, bonds, real estate, and collectibles. On the other hand, gold, silver, and commodities collapse. Unfortunately, the Autumn is also marked by a serious decrease in savings, and a dangerous and reckless increase in debt. The imbalances build up to the point where they cannot continue. That’s where we are now.

When Winter arrives the insane excesses of the Autumn are purged and cleansed. The ultimate result is a deflationary recession or depression. Debt is repudiated. There is usually a banking crisis. Bankruptcies and foreclosures increase, as does social discontent. During the Kondratiev Winter, gold and cash are the best investments.

It is very strange that almost nobody believes the Kondratiev Cycle is a tool to predict the Economy. If people would have believed the Cycle it would be very simple to move through the Depression. In the UP-state you have to save money to sustain the DOWN-state. When you don’t do this the DOWN-state will bring you in to big trouble. At this moment the World has used almost all his resources. We have saved almost nothing to move through the deep recession.

In 1931 the US Department of Commerce assigned Edward Dewey the task of discovering the cause and underlying dynamics of the Great Depression. The US Government created a special institute the Foundation for the Study of Economic Cycles. The US Government never took the research of the Institute for granted or used it for another purpose (Financial Warfare?).

The most interesting observation of Dewey is that Cycles restore themselves all the time and Cycles are influenced by other Cycles. They are entrained. We are not talking about a single isolated Economic cycle. The Universe is an Integrated Harmonic System. The Universe is a Wave that generates Waves that generates Waves. At this moment Physicists believe this is the case (String Theory, Plasma Theory).

To me it is unbelievable that Economists like Milton Friedman called the ongoing statistical research of Dewey and many related Cycle theorists “not scientific“. To me it is also unbelievable that almost nobody takes even a look at the enormous amount of data that is gathered. I believe ignoring the scientific facts of the Cycles is not only stupid but also a crime. It is a crime because by constantly ignoring and pushing the cycles the whole harmonic system (including your Body, the Weather, Society, Earth) gets out of balance.

The Cycle of Kondratiev is a “long-term” cycle but there are cycles with a much longer periodicity (The Precession). The “short-term” cycles of the Kondratiev Ride The Wave of the Very long term cycles. If a very long term cycle moves down the Kondratiev also moves down much deeper and much faster.

This is happening and we are totally not prepared to cope with the new phases of the “dominant” long term cycles. The Harmonic System is preparing to Jump to a new State of Balance. This State has been given many names like Time Wave Zero (Terrence McKenna) and Point Omega (Teilhard de Chardin).

In the old age the Scientists who studied the cycles were called Astrologers. They have gathered a lot of data about the Cycles. Just like Milton Friedman we think Astrology is not scientific but many people just ignore that we are now equipped with much better tools and theories to explain what is happening. The old Astrologers did a spectacular job without computers, telescopes and a highly developed mathematics.

If you read the Predictions of the Old Astrologers like The Maya and The Magi you have to understand that they wrote in the language and the metaphors of their time but their message is the same message McKenna and other Cycle-Theorist want to tell.

LINKS

About the Kondratiev Wave

The Case for Cycles, R.Dewey

About the Cycle of the Climate

About the Cycle of History

About  the Cycle of the Seasons

About the Very Long Cycle Theory of Terrence McKenna

About the Transformation Phase of the Cycle

About the Triple Goddess

Tuesday, October 14th, 2008

John Dryden famously said, “We first make our habits, and then our habits make us.”

Confucius said, “Men’s natures are alike; it is their habits that separate them.”

And Aristotle noticed that, “We are what we repeatedly do. Excellence then, is not an act, but a habit.”

 

It’s pretty clear that the habits you adopt will shape who you are. What are your habits?
Do you eat the same thing for lunch, go through the same exercise routine, and fall into bed at the same time each night?
Or maybe you’ve made a habit out of eating something sweet before bed, avoiding the gym, and staying up as late as possible.

When it comes to your fitness, the two habits that define you are your eating and exercise habits. In fact, everyone that you know who is in great shape has dialed in these two important habits. Try out protetox, If you aren’t happy with your current state, then simply adjust your eating and exercise habits.

 

Here’s how to adopt a habit:

1) Decide on the ONE habit that you would like to develop. It’s tempting to pick up 3 or 4 healthy habits but choosing just one new habit is realistic and doable. Here are some healthy habit ideas:

• Do not eat after 7pm each night.
• Bring your lunch to work instead of eating fast food.
• Exercise 4 times a week before or after work for 45 minutes each time.
• Only eat fruits and veggies as your afternoon snack (mostly veggies).
• Get up early and exercise for an hour each morning.
• Workout with me 3 times a week.

 

2) Write your new habit down on paper. Also include your 3 main motivators for developing this new habit, the obstacles you’ll face, and your strategies for overcoming these obstacles.

Here’s an example:

• My new habit is to work with a personal trainer 3 times each week.
• My 3 main motivators are 1) to feel confident in my bathing suit this summer, 2) to have more energy, and 3) to fit into my skinny jeans.
• The obstacles I will face are 1) not having the energy to go to my session after work, 2) not having enough money to pay for sessions, and 3) not having my spouse’s support.
• I will overcome these obstacles by 1) doing my workouts before work instead of after work, so I have more energy, 2) cutting down on frivolous spending to ensure that I can afford it, and 3) asking my spouse to join me so we can get in shape together.

 

3) Commit fully to your new habit, in a public way. This could mean posting it on social media, or simply announcing it at the dinner table. Put yourself in a position where you’ll be less likely to give up on your new habit.

 

4) Keep track of your progress. You could keep a detailed journal or simply make a check mark on each calendar day that you successfully exercise your new habit. Once your new habit becomes second nature, usually in about 30 days, feel free to add a second habit by going through the same steps. I’d love for my fitness program to become your new healthy habit!

About the Renaissance

Wednesday, April 2nd, 2008

The Renaissance was a Cultural Movement that spanned roughly the 14th through the 17th century. It started in Italy in the late Middle Ages and later spread to the rest of Western Europe.

 After the Dark Middle Ages, controlled by the Church of Rome, aimed at the Inside (Spirit and Soul), many people wanted to discover the Outside.

The Renaissance is the Age of Discovery. It is the time of Columbus.

T704836_23The printing press, invented in 1450, made it possible to distribute all the new knowledge all over the known world.

The new knowledge is in reality very old knowledge. Renaissance means re-birth and the Renaissance is the re-birth of the knowledge (and wisdom) of the Greek and the Romans.

This knowledge was forbidden and destroyed by the Rulers in Rome. It came back because of renewed contacts with the Arab Culture. At that time Arab Culture was at the top of its cycle.

Art (Leonardo Da Vinci) and Science (Copernicus (1514)) exploded. Both of them were funded by the rich merchants (Medici, Venice).

Scientists started to experiment and used advanced tools (Microscope, Telescope) to study the external world and the internal world (the Body). They looked with their own Eyes and not with the Eyes of the Bible.

renaissanceperIn the Arts the Perspective was invented. Artist used advanced tools (“camera’s) to support their own eyes to project the outside world on a flat surface.

Another Re-Birth was the Reformation (Luther, 1517). The Bible was translated in many languages and distributed by the printing press to many people.

For the first time people outside the Church could read and study Religious documents and compare them with Scientific Evidence  from Greece, Arabia and Rome.

columbus_taking_possessionThe need to convert others to the Christian faith was huge. Many expeditions, Crusades,  were send out to unknown territory to find convertible humans.

The missionaries used the old fashioned trick learned from the Huns to force people to accept  the Faith by violence. Millions of people were tortured and killed.

At the outside of the Christian Empire the Arabs were attacking all the time. They were also very wealthy.

The search for Gold stimulated the weapon-industry of the west.

Not only the weapon industry flourished also the transport industry (Maps, Navigation, Big Ships) made a lot of progress.

The combination of both of them (The Navy, “War-Ships”) helped the West to Rule the Sea.

mercatorProduction in the Renaissance was carried out by the Guilds, a Cooperation of Craftsman. They were almost in total control of every craft in the big cities.

The Renaissance (Creation) is part of the Cycle of Western Culture.

In this Cycle it was preceded by the rule of Roman Church (Control) and followed by the Industrial Revolution (Social).

The rebirth was fuelled by an Expansion Phase (Fire).

In this phase not only Arabic Culture expanded and rose to a high point also the new rulers of the West (Celts, Germans), the descendants of the Huns, created new Kingdoms and build the Cathedrals. The Cathedrals contained all the occult knowledge of that time (Sacred Geometry, The Spiral, The Light, The Four Forces,.).

On a macro level we see an interesting pattern.

The phase of Fire (Expansion, Practice, Summer, Sensory, …) fuels the phase of Creation (Up, Spirit, Idea, Eye, Winter, Mythic,…).

Ideas are put into Practice or Practice generates Ideas. The combination of Sensory and Mythic (A Game) is called Invention or Exploration by Will McWhinney.

The game of Exploration is an Infinite Game. Infinite games are about continuing the Game.

Going Back to Jump to another Level is also a pattern that is visible in the most advanced theory about ecologies promoted by the Resilience Alliance (RA).

The Ecology of the Roman Church dominant in the Dark part of the Middle Ages collapsed. It collapsed because of many factors.

In this time the Plague killed millions of people. The Climate was very instable (An Ice-Age) and the new Kingdoms of the Huns and Celts were heavily expanded. They started to fight for dominance.

According to the theory of RA a collapsing ecology reverts to a previous stage to rise again.

What does this say about Innovation?

Innovation is fuelled by an earlier (expansion) stage in history. It is triggered by a collapse of an Ecology.

If we look at the current state of the world we see a Collapse (a Compression) of the World Wide Ecology. It will certainly generate a stage of Ideas and Creativity.

This is needed to solve the current problems. In contrary to many ideas about Innovation the only way to solve the problems is to Look Back and Learn from History.

We can learn from the Control Stage of the Middle Ages where one paradigm was enforced. At this moment Science is enforcing again one paradigm, the paradigm of Control, Abstraction, Technology, the Computer, Statistics and the Factory.

They were created during the Industrial Revolution that was aimed at creating Unity (Every Thing is the Same).

At this moment we are moving into the stage of the Center, Balance and Harmony.  In this stage we always jump to a new level of Conscioussness. In the last Center-Stage the Religion of the Islam was born so the chances are high that a new World Religion will appear or re-appear.

People that explore contradicting paradigms are excluded from the scientific community. This community controls the world of Inspiration just like the Guilds were controlling the crafts in the Renaissance. To innovate we need Freedom of Paradigm.

We can learn from the Idea stage of the Renaissance. It teaches us that a Union of Art, Science and Spirituality is needed to support real innovation.

We can also learn from a comparable phase in the Cycle, the phase of Harmony. In this phase the old is completely destroyed by an invasion of people outside its territory (The Huns).

The West is trying with all its force to block a huge part of the Earth (the “Under-Developed” countries) to take part in its innovation. It creates (Economic and Legal) Walls just like the Roman Empire and the Chinese Empire created Walls to protect their territory from the Huns and The Celts when they were in their end-stage.

The Under-Developed countries are of a Lower Culture. Perhaps these cultures carry something the West desperately needs. In these cultures the collective is more important than the individual. In these cultures the sick, the poor and the old are still taken care of.

Funny.

I believe this was the message Christianity wanted to bring to the World.

Something went wrong in the West don’t you think?

LINKS

About the Perspective

Lectures about the Renaissance part 1

Lectures about the Renaissance part 2

Lectures about the Renaissance part 3

About Mapping

Friday, August 31st, 2007

Many people think I am a very intelligent person. I am able to solve very complex problems in a very short time. In reality I am a normal person. I use a trick. The trick is called Mapping.

I map a complex unknown domain to a well known simple domain. I solve the problem in the well know domain and map the solution back to the unknown domain. When I do that the unknown domain becomes simple again.

The well-known domain I use are the Seasons of The Year. People don’t believe the Seasons are a representation of the world we live in.

About a year ago I discovered the reason.

Everybody in the West believes the theory of reasoning of the Greek philosopher Aristotle. The theory of Aristotle is called causal reasoning.

I use causal reasoning when I am writing this article. I need causal reasoning to convince you. The only way to convince Western people is to use causal reasoning.

What I will show you is that causal reasoning creates many problems that are unsolvable. To solve these problems you have to move to another way of reasoning. What Western people don’t want to accept is that there are other and more effective ways to reason. The other way to reason was used before Aristotle was born.

This approach is more than 2000 years old. It originated in the Middle East (China & Persia). Western people don’t accept this. They are trained to believe that the people that used these “more advanced” approaches were stupid. They believe “The West is the Best” in everything.

They also believe that when we go back in history we see a down-ward spiral of knowledge. Western civilisation is always “Going UP”. We will become better and better and better until infinity.

What they don’t see is that Causal Reasoning creates a big problem.

When you believe everything has a cause you start to look for the cause of the cause and when you start to look for the cause of the cause you never stop looking for the next cause.

Because you don’t have infinite time to look for the infinite chain of causes you have to find a solution. The solution is named “Creation”.

Somewhere there is a beginning and in the beginning something or somebody is creating “Something out of Nothing”. When you are religious you name the creator God. When you are not religious you name the first cause The Big Bang.

After you have named the creator you stop wondering what “creation out of nothing” really is. You force yourself to believe. You force yourself to believe the Church or you force yourself to believe Science. When you believe the Church you have to believe in a Supreme Power.

When you believe in Science You have to believe Others. Most people believe the Others of Science are very intelligent. If you believe these others are very intelligent you have to believe there are also people that are not intelligent. We have named “not intelligent” “Stupid”.

The Belief that causal thinking is the only way to think does not only generate the idea that you are stupid. It also generated the idea that you are guilty of something. You are guilty of something when you are the cause of something that went wrong. When a human is doing something wrong it is named “Sin”.

When you believe in Sin and you believe in causal thinking you have to believe there is a Creator of Sin. The creator of Sin is named the Devil. Because God created everything you have to assume God also created the Devil. When you believe in a Supreme Power you don’t understand why a Supreme Power is not able to beat The Devil. Because you are “stupid” you stop wondering. You have to believe.

A “creation out of nothing” is a Miracle. When you believe in a Miracle you believe in Luck. You hope you will be lucky someday. When you are religious You don’t understand why God is helping the other and not You. To explain this You believe you are doing something wrong. You are stupid or sinful.

When you believe the intelligent people, you have to believe in the theory of probability. To improve your behaviour you start to collect data. You use statistical packages to find the pattern. This is not helping you at all because still some people are lucky and you are not. You are doing something wrong (you are stupid) or you do not believe in Him. You are sinful.

If you use causal reasoning you are able to find a solution. You have to assume that the beginning is the end. You have to close the causal chain in itself. When you close the chain the chain is transformed in a circle. If you do that you have moved to another way of thinking and the other way of thinking is “impossible”.

It creates a problem you cannot solve. In a Circle it is very difficult to find the beginning. Every point in a circle is a beginning. If you assume this point is the beginning it is also the ending. The causal solution is to assume that the circle is contracted into one point. Everything is one point. Everything is One.

This violates your Sensory perception. You observe Many Many Others. This is a contradiction and you stop this path of reasoning.

The “old cultures” have found a solution. They use the principle of unfolding and enfolding.

A Flower is an unfolding of One Seed. A Flower enfolds in Many Seeds. In Spring the Seeds grow into a Plant. In Summer the Plant produces Flowers and the Flowers produce Seeds. In Autumn the Seeds are covered by Earth and in Winter Earth protects the Seed.

What we observe with our Senses is a Cycle and the Cycle contains Stages. If we look around we see many Cycles and all of the Cycles contain the same stages.

If we look carefully we observe five stages. We observe the Four Seasons and a Fifth Season between Summer and Autumn. In other climate zones the fifth season is easy to experience. In the US it is called Indian Summer.

Before Aristotle the principle of unfolding based on a cycle divided in five stages was the most important theory to explain the world.

To explain the world every thing that happened was mapped to the Cycle of the Seasons.

The solar system, the universe, the body, the state, history and every else was governed by the same cycle. They are Wholes that are moving around Wholes that are moving around Wholes …..

They are The Same because every thing is moving through the Same Stages. They are also Different because they operate on a different Level.

Levels are a problem Western Civilization cannot handle. We believe in one level, the chain of cause and effect. We are constantly connecting different levels. Connecting different levels at the wrong connection point is really the main cause of the mess we are in.

The cycles on different levels are moving with a different periodicity (frequency). They act like waves. The Scientists of that time discovered that the frequencies were also related by a pattern of fives.

Thinking in waves is a way of thinking Western Civilization cannot handle. We think in particles that are colliding. Again this is a simple consequence of causal thinking.

Slow moving cycles are the unfolding of fast moving cycles. An unfolding cycle is a Spiral. Because everything is closed the Spiral had to be closed in itself. It is transformed into a Spiralling Spiral. The Spiralling Spiral is moving UP AND moving DOWN. This violates Western Thinking because we only believe in Spiralling UP. We don’t believe Western Civilization will disappear someday just like all the other civilizations before us.

We don’t believe the Spiralling Spiral works like a Clock. The cycles are moving in a highly predictable pattern. In the West we believe in statistics and statistics shows that every predictable pattern has its exceptions.

Every cycle is governed by a Clock. You are also governed by a Clock and if you don’t listen to your Clock you become ill. You get “out of rhythm”. Going “out of rhythm” is the main cause of all the Western diseases.

We really don’t believe Einstein. Everybody believes the Myth that he has failed. Many people don’t know that one of his pupils David Böhm found the solution. Einstein believed that “God is not throwing dice”. He also believed “God is a geometer”.

Although the new Psychics are showing that Einstein and Böhm were right and Niels Bohr (Quantum Mechanics) was wrong we are really afraid to believe this. It violates the foundation of Western Civilization.

We love the theory of Quantum Mechanics because it proves the world is a Miracle. People don’t understand Quantum Mechanics at all. Quantum Mechanics acts like a Religion and a Religion is based on the Mystery of “Creation out of Nothing”. Quantum Mechanics proves this is “really happening”. This gives us a good feeling. The foundation of Western Civilization is proved again.

We don’t want to believe that Civilizations rise and fall.

We also don’t want to believe is that long ago these civilizations were more advanced than our society.

What we really don’t want to believe is that they were destroyed because they fell into the same trap Western Civilization is falling. We don’t accept the lessons of history. We believe the old myths were fantasy stories. Just like the old civilizations we don’t see that we are now living in our own fantasy world. The fantasy of eternal youth and eternal life.

What we don’t want to believe is that the old civilizations even found a solution for this problem. The solution they found is not a material solution. They found out that the power of the human imagination is tremendous. When Western Science is proving this we don’t want to believe Western Science.

We are really very funny people! The solution for everything we want is round the corner and we don’t accept this solution.

Now I am able to explain my trick.

Step 1. Determine the level of observation. The level of observation is related to the periodicity of the cycle. An organization is often related to a yearly cycle.

Step 2. Determine the five stages in the cycle. Use the seasons. Observe carefully what every season mean to you.

If you want to reuse the knowledge of the scientists before Aristotle I advice you to study Chinese Philosophy. People with a mathematical interest have a look at Pythagoras or (better) Topology. People with a psychological interest read Jung, Will McWhinney or George Lakoff (!!). People with an interest in literature study Bahktin (!!). People with in interest in medicine study Acupuncture. People with an interest in Christian religion read the gospel of Thomas (The Essenes). People with an interest in Paintings have a look at Leonardo da Vinci. Physics look at Super String Theory and David Böhm (!!). Study Alchemy or the Zohar. Interesting philosophers are Erasmus and Schopenhauer. Lovers of music listen to Bach or John Cage. Cultures: Read Carlos Castaneda (!!). Study the Hopi’s, The Sufi’s, Zoroaster and The Mayas. Look at the Medicine Wheel. Study the old Cathedrals (Chartres!), Read Steiner, Blavatsky, Krisnamurti (a close friend of Bohm), Joseph Campbell (!) and Goethe. Read Poetry (!!). Last but not least Observe Nature.

Step 3. Connect the cycle to the cycle one level higher and the cycle one level lower. This shows the possible spiralling UP en the spiralling DOWN. The lower level of an Organization is called a Human. The higher level you could call a Value Chain (Cycle).

Step 4. Look for all the places where the Cycle is blocked or connected to the wrong level.

Step 5. Restore the Cycle and the Levels.

Step 6. Transform your observation in the language of the people that are paying you. This is the most important step. Carefully listen to the language. Everybody is talking in Seasons but we use many many words to say the same thing over and over again.

Step 7. Observe that most of them don’t follow your advice.

The reason? The solution is Too simple or/and Your clients believe in Luck or Destiny or/and They look for the Sinner and want to punish the Sinner or/and they Feel they are Guilty and Deny this or/and they want to use Statistics. If they do this they prove that the world is really very Complex.

Step 8. Try to explain them that they have fallen in the trap of causal reasoning. Tell them they are not Sinners or Stupid. Give them the feeling Life is meant to be a beautifull experience of the Whole.

Step 9. If they don’t follow your advide come back one cycle period later. The situation has surely increased in complexity. They need you again. Go to Step 1.

Do you want to read more about Cycles read the theory behind cycles (pdf). Sorry this document is written in the Dutch Language.

Do you want to know more about the Cycle in Litterature and Art?

Do want to know more about Reasoning and Logic?

Do want to know how Physics easily explains Acupuncture?