Iteration of Ideas

Iteration of Ideas

Our world is full of surprises. The expected and simple interactions may lead to complex behaviors with unpredictability that surpasses our imagination. The behavior of many systems shows this "anomalies". They include the weather, the prey-predators societies and the Mandelbrot Set of equations. These systems show strange behaviors even though they originated from simple equations. Their complexity is amazing. They teach us a big lesson- don't assume and verify.

Let us start with a simple system- the growth of population. The population in a basic year shall grow at certain percentage of the previous year. There is a feedback in play here. When we increase the population this year from the previous, even the percentage of population growth is kept fixed, the number of population increases more rapidly as, say 4% of 100,000 is more than the previous year with less population. Could this formula go like this forever? The answer is no because eventually the available resources shall not be sufficient to sustain the exponentially growing population. Resources are available in limited supplies only. So, what happens? Very peculiar result are obtained in that we change the population growth rate, the output shall develop from linear, bifurcating into two values, four values and so on till we each a random state. It shall be very difficult to predict the population. The following diagram shows the bifurcation diagram where in where X {\displaystyle x_{n}} is a number between zero and one that represents the ratio of existing population to the maximum population possible

Iteration of Ideas


The Mandelbrot feedback equation is again a reiterative equation of a very simple equation in which the output is feedback as an input in the equation. See this video to see how simplicity generates complexity.

Iteration of Ideas

Social Simple Interactions May Lead to Complexity

Humans interact and ides may become heavily populated and their growth may be limited by our capacity to fully comprehend them. The output of an idea may be the new input for more ideas. If too many people are engaged in the discussions so the rate of producing new ideas reach a value that our ideas may rearrange and produce a chaotic stage in which it shall be difficult to guess what shall happen next.

The complexity of social actions may experience the feedback effect. Our behaviors on social media might appear simple when they could hide surprises for us. We affect each others' thinking, emotions and understanding and the rate by which these changes could reach a level where chaos starts.

The use of equations to study human behaviors is not new. Kurt Lewin suggested that human behavior may be modeled by a simple equation:

B = f(PE), function of the person (p) and the environment (E). The significance of this equation is that we may express in words we may also express in equations. The equations may be not right and feedback from others may improve the equation. Lewin himself modified his initial equation to the present version. The equation allows for the person and his environment to have influence on their behavior in complex and profound ways. beBee is the environment and we may affect it and in turn the environment may affect us. What starts as a simple equation could develop into a complex one.

The Iteration of Ideas

I am writing this buzz because of a seed idea that started by suggesting an equation to reveal when we may move or take action. This was bases on an initial exchange of ideas among the triad of @Sara Jacobovici, @Franci Eugenia Hoffman and myself. The equation started with:

Knowing + Doing = Movement (Action).
So many ideas poured in resulting in its revision. In fact, the growth of ideas may have the shape of a tree. I shall be discussing this in a forthcoming buzz and I know Sara is writing a buzz too. It looks like the iteration of ideas may lead to complexity and find ourselves going into paths that we never predicted.

This is the beauty of simple equations as they too are subject to iteration. We don't have to be right or wrong as much as learning together and developing the simple equation. Who knows what results we shall end up with? Like the simple population equation led to complex behaviors, the exchange of ideas might do. Writing equations may reveal such complexities no matter how simple these equations are.

I believe it is the challenge of simplicity that carries the most pleasant surprises.

Steve Brady 2/12/2016 · #41

#40 Dear Ali, thank you for your encouraging reply. Your thoughtful posts have certainly been a catalyst for fascinating discussion. If I may also encourage you: the way you genuinely interact with commenters on your posts is a blessing. You are gifted with the ability to articulate wisdom and at the same time engage with your readers to search for further wisdom.


#39 @Steve Brady- amazing comment with its potential and practical examples.Led it and read it few times. Each time I ponder on this part "From my growing understanding of Fractal Perspectives it is from this state that we can see beautiful symmetries emerge and iterated patterns of coherent relationships emerge". Well, I see the patterns emerging when I read a comment by you. SOon, I am responding in a buzz to your very great comment.
While reading this comment you really got me curious to read your comment on my following buzz. I feel you have so much to add:

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Steve Brady 1/12/2016 · #39

#33 Thank you, @Ali Anani. I too remain curious, as a life-long learner from published works, but also the "textbooks" of human beings in inter-relatedness. When I was trained in Restorative Justice, we were urged to interview thoroughly so as to aim for "no surprises". Thorough empathic conversations with affected parties is so often therapeutic in themselves, however, I am still amazed that every "circle" we formed in order to facilitate meetings between stakeholders, seemed full of potentialities...ranging from complex abreactions and fearful responses to wonderful unscripted reconciliations. One important key for me is that whenever people are gathered in community, even a private Restorative Justice meeting, is an open system, rather than a closed one. A second key that is important for me is to not fear "chaos". No one wants mayhem of course, but as I learned from reading "A Different Drum" by the late Dr M. Scot Peck, true community can emerge from the "chaos" of people feeling safe enough to lay down their facades and pretences, and be "real". From my growing understanding of Fractal Perspectives it is from this state that we can see beautiful symmetries emerge and iterated patterns of coherent relationships emerge. The lesson for me is to encourage potentialities, to be open and resist habitual control. Instead, be more like a true scientist, an explorer of truth. Herein lies the essence of respectful and powerful peace making.

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David Navarro López 30/11/2016 · #38

@Katja Bader have a look here. Your point of view is requested

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#35 Your snowball example is simply genius. I know you wrote this comment partly from your own experiences, dear @David Navarro López. What a lovely illustration this is! Yes, we have nor control on the path of the snowball. es, we may have no control over the stones that may change the trajectory of the snowball, but we may always try again. Like you said, an oak tree doesn't produce pears. I feel you may extend this to a great buzz. You added a new meannig o the behavior of snowballs. We always need a fresh start.


#34 #34 Dear @David Navarro López- this is a gem and your observation struck me too to the bones "One thought it shocked me to the bones, is that the day I stopped looking for explanations, is the day I started understanding life". SOmetimes we get over-stressed trying to understand and by doing that we are actually reducing our ability to understand. When things become too complex to understand, this is the time to relax and only then we may think of new approaches, new ideas and new thinking. There are so many things in life that we still don't understand. That is why I introduced the term "passionate curiosity".

David Navarro López 30/11/2016 · #35

#32 Part 2 But one thing was clear to me. (Again, a Spanish saying) You can not expect pears from an oak. So in order to promote the best scenario for both bees and hives, the only way I have found which is always certain, is to influence every action and ideas coming out with the highest human values. Here is, and only here, where we can have a part of control and responsibility about how things are going to develope, but just at the initial stage. You love analogies, and I like to look at it as a snow ball rolling down a hill. One can't know how it's going to end, but if one makes a big ball of "positive snow" and throws it aiming it in the right direction, it is more than probable it will end as you wished. Or maybe not. And if not, we can not run down to the hill and try to put away the stones that modified the trajectory of the ball. The ball will go faster, and stones are countless. Much better, make a new ball and aim it differently. If you are lucky, you will succeed. If not, better keeping "enhancing the ball" (which is under your direct control) rather than loosing the time asking why, as we can't be in two places at the same time.

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David Navarro López 30/11/2016 · #34

#32 Part 1 Dear Ali, you know I am very interested in human behaviour, and I have been digging on it in any possible way a long time. One thought it shocked me to the bones, is that the day I stopped looking for explanations, is the day I started understanding life. Because as you are pointing out, "Humans interact and ideas may become heavily populated and their growth may be limited by our capacity to fully comprehend them" The feedback to our actions (or ideas), the more reach they achieve, the more complex they become. Being a practical man as I am, and having in mind the mentioned interacting between bees and hives, I switched from trying to understand the process, to trying to provoke the process in a trend it suited the mutual benefit fo bees and hives, due to the unavoidable fact that our energies and capabilitiy of comprehension are far too limited to reveal the ultimate consequences that feedback might cause modeling and transforming the original inception of it.

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