As intermediaries of that influence sometimes make mistakes in the transmission of the content of the message, it diminishes and degradate that initial influence.

f) The degradation of the influence is inversely proportional to the number of transmissions.

So mathematically one Person in Society = [Sum(direct influences on others)+ Sum(indirect influences on others)] - [Sum(direct influences received from others) + Sum(indirect influences received from others)].

Yona expresses in this formula that he calls "Path-Matrix".

Now we are ready to understand the description of the "mathematical structure of a Society" using a graphic map of propagation of influences and/or the "path-matrix" to determine influence degradation.

It depends totally on the type of topological properties ot that society are hierarchical or equalitarian.

In Hierarchical society if one member leaves the community some lose and some win, because this structure generates fights for power within a frame of "alliances" and "adversaries" based in old dependencies.

So there will be a change in the structures by the reallocation of power and a transformation of the hierarchical structure into a new substructure.

In societies graphically represented by a "tree" if any "root" members leave it, creates a "degressive hierarchy" and a progressive balance of "alliances" based on the "root" top power generating a high degree of instability in this kind of structures.

If one member leaves an equalitarian society all the peers remain in the same social situation and the structure is not changed.

In an equalitarian society all the peers have the same social situation creating a big degree of stability.

The graphics show the mathematical structure of society and the Map of total mutual influences.

We can accept social difference in the possession of wealth in social situations, but only under the condition that every human being in the world has enough to provide basic needs to all born Earthlings (UBI -Universal Basic Income).

2- Blockchain: Equalitarian or Hierarchical Society

Society as Men and Objects

The blockchain is a Realizable Social Utopia, within a new singular "Realizable Technological Utopia" that permits the transaction of financial values and things or objects in a P2P = Person to Person network .

Anarcho-capitalism, the blockchain or Steemit are Equalitarian Communities in relation to people, but there is a Hierarchical Society in relation to Objects or assets (economy).

And never forget that both utopias can become paternalistic if some members decide to conspire for their needs, instead of the needs of all the community.

I've been thinking and I'm still confused, if the blockchain is now over the 7th layer of data communication, creating the 8th layer of Representation of Intelligent Agents ( connections, interactions- influences - object transactions) in topological data matrices, a new language of Society as an Environment of Objects + People's peers, that are the "others" for each one of us.

The Vision and Mission of the creators of the blockchain must be clear, transparent and transmitted, as well as the best possible solutions for all the members to solve their problems and needs and they have to share the same needs of all the community, as the main condition for avoiding the path of Paternalistic Social Utopias.

The blockchain can become equalitarian in relation to Man, but is still hierarchic in relation to Objects,

So this dream, for now, is just a romanticized dystopian view of non-realizable Utopia

"Objects are an influence to Man as Man is influenced and influencing other Man ".

Free and open Knowledge brought the possibility of a social non-paternalist equalitarian society in relation to the influences of man, and a possibility the utopia of a better redistribution of objects generating a lower hierarchic pyramid in the gap of wealth and possession.

On the other hand, this singularity and technological Utopia, where the world of Objects is still hierarchic, doesn't bring the solution to this problem of egalitarianism.

But with the generosity and heart of some ideas and projects of the creators in the blockchain, like the UBI (Universal Basic Income), we can help to reduce and equilibrate the gap between the ones who have it all and the ones that have almost nothing.

Most of the creators of blockchains have beautiful ideas and visions to change the world, but sometimes the chain of communication of their vision and mission is not very clear to all the members and newcomers, causing the emergence of self-interested groups or individuals that drain the synergy of all and transform it in non-paternalistic social and technological utopias.

And I'll finish with a quote of Yona Friedman:

"The others are different for each one of us"

The psychological key to freedom, adaptation, and relation of peers, in the construction of consensus, based on the needs of all the members, as a standpoint for " New Universal Order " courtesy of Source-Code and the Blockchain

Footnote:
All phrases with commas are citations of Yona Friedman's books

(*) I choose the term Equalitarian for a vision that accepts or promotes the view of equalitarianism , instead of Egalitarian a vision who accepts or promotes social equality and equal rights for all people because that is not yet possible in the material hierarchic structure of our world of objects and assets.

My other posts on Steemit about the blockchain

An Ode to the blockchain - the Dialectic of Liberation

Steemit: Vision, Mission, Values and Strategy

Steemit Value : Intangible Asset vs Tangible Asset Analysis

Steemit: Altruism and Financial Scarcity and the rise of Advertising

Steemit : The Shrinking of the Money Pie and the Rise of Human Pie

B/W Pictures Source:

All black and white pictures are originally copied from the book - "Utopias Realizáveis" by Yona Friedman , Sociocultur, Lisbon, 1977 (in Portuguese)

References:

(1) Yona Friedman - wikipedia : Architect, urban planner, designer but also a sociology student, physics and science communications, Yona Friedman (Budapest, 1923) is back at the center of international architectural culture after having long been dismissed as Utopian. Member of the Hungarian anti-Nazi resistance, Friedman spent a few years in Haifa, Israel, where he sketched the first of his many theories, namely the Mobile Manifesto architecture in which special construction systems allow the inhabitant to determine for itself the shape, style etc. his apartment and to change it when they want it.

website: Yona Friedman

Interview with Yona Friedman: "Imagine, Having Improvised Volumes "Floating"In Space, Like Balloons"

Yona Friedman 1000+ photos - Pinterest

Books:

Utopies réalisables by Yona Friedman

Comment vivre entre les autres sans être esclave et sans être chef, J.J. Pauvert, Paris, 1974

The Politics of Utopia: A Study in Theory and Practice By Barbara Goodwin, Keith Taylor

One Video among hundreds : Yona Friedman: You are obliged to stay Mainstream